1. D. Mehta, N. Daleo, F. Dörfler, and J. D. Hauenstein. Algebraic Geometrization of the Kuramoto Model: Equilibria and Stability Analysis. Chaos: An Interdisciplinary Journal of Nonlinear Science, 25(5), January 2015. Keyword(s): Complex Oscillator Networks, Complex Polynomial Networks. Abstract:

   Finding equilibria of the finite size Kuramoto model amounts to solving a nonlinear system of equations, which is an important yet challenging problem. We translate this into an algebraic geometry problem and use numerical methods to find all of the equilibria for various choices of coupling constants K, natural frequencies, and on different graphs. We note that for even modest sizes (N ~ 10--20), the number of equilibria is already more than 100 000. We analyze the stability of each computed equilibrium as well as the configuration of angles. Our exploration of the equilibrium landscape leads to unexpected and possibly surprising results including non-monotonicity in the number of equilibria, a predictable pattern in the indices of equilibria, counter-examples to conjectures, multi-stable equilibrium landscapes, scenarios with only unstable equilibria, and multiple distinct extrema in the stable equilibrium distribution as a function of the number of cycles in the graph.

   
   

   @article{DM-NSD-FD-JDH:14,
   abstract = {Finding equilibria of the finite size Kuramoto model amounts to solving a nonlinear system of equations, which is an important yet challenging problem. We translate this into an algebraic geometry problem and use numerical methods to find all of the equilibria for various choices of coupling constants K, natural frequencies, and on different graphs. We note that for even modest sizes (N ~ 10--20), the number of equilibria is already more than 100 000. We analyze the stability of each computed equilibrium as well as the configuration of angles. Our exploration of the equilibrium landscape leads to unexpected and possibly surprising results including non-monotonicity in the number of equilibria, a predictable pattern in the indices of equilibria, counter-examples to conjectures, multi-stable equilibrium landscapes, scenarios with only unstable equilibria, and multiple distinct extrema in the stable equilibrium distribution as a function of the number of cycles in the graph. },
   author = {D. Mehta and N. Daleo and F. D{ö}rfler and J. D. Hauenstein},
   date-added = {2015-02-03 17:54:12 +0000},
   date-modified = {2018-05-01 11:57:10 +0000},
   funding = {ETH Zürich Funds},
   journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
   keywords = {Complex Oscillator Networks, Complex Polynomial Networks},
   month = {January},
   number = {5},
   pdf = {http://scitation.aip.org/docserver/fulltext/aip/journal/chaos/25/5/1.4919696.pdf?expires=1454503725&id=id&accname=2112043&checksum=57666B67BA34C7214EA717FD13A26CC6},
   title = {Algebraic Geometrization of the Kuramoto Model: Equilibria and Stability Analysis},
   url = {http://scitation.aip.org/content/aip/journal/chaos/25/5/10.1063/1.4919696},
   volume = {25},
   year = {2015},
   bdsk-url-1 = {http://scitation.aip.org/content/aip/journal/chaos/25/5/10.1063/1.4919696} 
   }
   




2. F. Pasqualetti, F. Dörfler, and F. Bullo. Control-Theoretic Methods for Cyber-Physical Security. IEEE Control Systems Magazine, 35(1):110-127, February 2015. Keyword(s): Secure Control Systems, Power Networks, Distributed Control Algorithms, Linear Control Design.
   

   @article{FP-FD-FB:13a,
   author = {F. Pasqualetti and F. D{ö}rfler and F. Bullo},
   date-added = {2013-08-30 05:33:27 +0000},
   date-modified = {2015-02-03 17:55:39 +0000},
   funding = {CNS-1135819, W911NF-09-0001},
   journal = {{IEEE} Control Systems Magazine},
   keywords = {Secure Control Systems, Power Networks, Distributed Control Algorithms, Linear Control Design},
   month = {February},
   number = {1},
   pages = {110--127},
   pdf = {http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=7011011&url=http%3A%2F%2Fieeexplore.ieee.org%2Fxpls%2Fabs_all.jsp%3Farnumber%3D7011011},
   title = {Control-Theoretic Methods for Cyber-Physical Security},
   volume = {35},
   year = 2015 
   }
   




3. J. W. Simpson-Porco, F. Dörfler, and F. Bullo. On Resistive Networks of Constant Power Devices. IEEE Transactions on Circuits and Systems II: Express Briefs, 62(8):811-815, 2015. Keyword(s): Microgrids, Complex Polynomial Networks, DC Grids, Voltage Control.
   

   @article{JWSP-FD-FB:DC14,
   author = {J. W. Simpson-Porco and F. D{ö}rfler and F. Bullo},
   date-added = {2014-09-22 17:54:01 +0000},
   date-modified = {2018-05-03 15:41:41 +0000},
   journal = {IEEE Transactions on Circuits and Systems II: Express Briefs},
   keywords = {Microgrids, Complex Polynomial Networks, DC Grids, Voltage Control},
   number = {8},
   pages = {811-815},
   pdf = {http://arxiv.org/pdf/1503.04769v1.pdf},
   title = {On Resistive Networks of Constant Power Devices},
   url = {http://arxiv.org/abs/1503.04769},
   volume = {62},
   year = {2015},
   bdsk-url-1 = {http://arxiv.org/abs/1503.04769} 
   }
   




4. J. W. Simpson-Porco, Q. Shafiee, F. Dörfler, J. M. Vasquez, J. M. Guerrero, and F. Bullo. Secondary Frequency and Voltage Control of Islanded Microgrids via Distributed Averaging. IEEE Transactions on Industrial Electronics, 62(15):7025 - 7038, November 2015. Keyword(s): Microgrids, Distributed Control Algorithms, Frequency Control, Voltage Control, Power Electronics Control. Abstract:

   In this paper, we present new distributed controllers for secondary frequency and voltage control in islanded microgrids. Inspired by techniques from cooperative control, the proposed controllers use localized information and nearest-neighbor communication to collectively perform secondary control actions. The frequency con- troller rapidly regulates the microgrid frequency to its nominal value while maintaining active power sharing among the distributed generators. Tuning of the voltage controller provides a simple and intuitive tradeoff between the conflicting goals of voltage regulation and reactive power sharing. Our designs require no knowledge of the microgrid topology, impedances, or loads. The distributed architecture allows for flexibility and redundancy, eliminating the need for a central microgrid controller. We provide a voltage stability analysis and present extensive experimental results val- idating our designs, verifying robust performance under communication failure and during plug-and-play operation.

   
   

   @article{JWSP-QS-FD-JMV-JMG-FB:14,
   abstract = {In this paper, we present new distributed controllers for secondary frequency and voltage control in islanded microgrids. Inspired by techniques from cooperative control, the proposed controllers use localized information and nearest-neighbor communication to collectively perform secondary control actions. The frequency con- troller rapidly regulates the microgrid frequency to its nominal value while maintaining active power sharing among the distributed generators. Tuning of the voltage controller provides a simple and intuitive tradeoff between the conflicting goals of voltage regulation and reactive power sharing. Our designs require no knowledge of the microgrid topology, impedances, or loads. The distributed architecture allows for flexibility and redundancy, eliminating the need for a central microgrid controller. We provide a voltage stability analysis and present extensive experimental results val- idating our designs, verifying robust performance under communication failure and during plug-and-play operation.},
   author = {J. W. Simpson-Porco and Q. Shafiee and F. D{ö}rfler and J. M. Vasquez and J. M. Guerrero and F. Bullo},
   date-added = {2014-10-13 21:41:31 +0000},
   date-modified = {2018-05-01 12:02:14 +0000},
   funding = {ETH Zürich Funds},
   journal = {IEEE Transactions on Industrial Electronics},
   keywords = {Microgrids, Distributed Control Algorithms, Frequency Control, Voltage Control, Power Electronics Control},
   month = {November},
   number = {15},
   pages = {7025 -- 7038},
   pdf = {http://arxiv.org/pdf/1504.06784v1.pdf},
   title = {Secondary Frequency and Voltage Control of Islanded Microgrids via Distributed Averaging},
   url = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7112129&tag=1},
   volume = {62},
   year = 2015,
   bdsk-url-1 = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7112129&tag=1} 
   }
   




5. J. Zhao and F. Dörfler. Distributed Control and Optimization in DC Microgrids. Automatica, 61:18 - 26, 2015. Keyword(s): Microgrids, Distributed Control Algorithms, DC Grids. Abstract:

   Abstract Due to their compatibility with renewable and distributed generation, microgrids are a promising operational architecture for future power systems. Here we consider the operation of \{DC\} microgrids that arise in many applications. We adopt a linear circuit model and propose a decentralized voltage droop control strategy that is inspired by frequency droop control in \{AC\} networks. We demonstrate that our primary droop control strategy is able to achieve fair and stable load sharing (even in presence of actuation constraints) or an economic dispatch of the generation formulated as a quadratic and linearly-constrained optimization problem on the source injections. Similar to frequency droop control, voltage droop control induces a steady-state voltage drift depending on the imbalance of load and generation in the microgrid. To compensate for this steady-state error, we consider two secondary control strategies. A purely decentralized secondary integral control strategy successfully compensates for the steady-state voltage drifts yet it fails to achieve the desired optimal steady-state injections. Next, we propose a consensus filter that requires communication among the controllers, that regulates the voltage drift, and that recovers the desired optimal injections. The performance and robustness of our controllers are illustrated through simulations.

   
   

   @article{JZ-FD:14,
   abstract = {Abstract Due to their compatibility with renewable and distributed generation, microgrids are a promising operational architecture for future power systems. Here we consider the operation of \{DC\} microgrids that arise in many applications. We adopt a linear circuit model and propose a decentralized voltage droop control strategy that is inspired by frequency droop control in \{AC\} networks. We demonstrate that our primary droop control strategy is able to achieve fair and stable load sharing (even in presence of actuation constraints) or an economic dispatch of the generation formulated as a quadratic and linearly-constrained optimization problem on the source injections. Similar to frequency droop control, voltage droop control induces a steady-state voltage drift depending on the imbalance of load and generation in the microgrid. To compensate for this steady-state error, we consider two secondary control strategies. A purely decentralized secondary integral control strategy successfully compensates for the steady-state voltage drifts yet it fails to achieve the desired optimal steady-state injections. Next, we propose a consensus filter that requires communication among the controllers, that regulates the voltage drift, and that recovers the desired optimal injections. The performance and robustness of our controllers are illustrated through simulations.},
   author = {J. Zhao and F. D{ö}rfler},
   date-added = {2014-10-09 20:41:54 +0000},
   date-modified = {2017-02-03 20:52:04 +0000},
   funding = {ETH Zürich Funds},
   journal = {Automatica},
   keywords = {Microgrids, Distributed Control Algorithms, DC Grids},
   pages = {18 - 26},
   pdf = {http://ac.els-cdn.com/S0005109815003003/1-s2.0-S0005109815003003-main.pdf?_tid=edd11c16-4573-11e5-88e2-00000aab0f01&acdnat=1439880171_b9894fd8da72218a2b482e8c13d0980d},
   title = {Distributed Control and Optimization in {DC} Microgrids},
   url = {http://www.sciencedirect.com/science/article/pii/S0005109815003003},
   volume = {61},
   year = {2015},
   bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S0005109815003003} 
   }
   

1. S. Bolognani and F. Dörfler. Fast Power System Analysis via Implicit Linearization of the Power Flow Manifold. In Allerton Conf. on Communications, Control and Computing, 2015. Keyword(s): Power Networks, Power Flow Optimization.
   

   @inproceedings{SB-FD:15,
   author = {Bolognani, S. and D{ö}rfler, F.},
   booktitle = {Allerton Conf. on Communications, Control and Computing},
   date-added = {2015-10-03 21:21:52 +0000},
   date-modified = {2016-10-03 12:13:49 +0000},
   funding = {ETH Zürich Funds and SNF Assistant Professor Energy Grant #160573},
   keywords = {Power Networks, Power Flow Optimization},
   pdf = {http://people.ee.ethz.ch/~floriand/docs/Articles/BolognaniDorfler_Allerton2015.pdf},
   title = {Fast Power System Analysis via Implicit Linearization of the Power Flow Manifold},
   year = {2015},
   bdsk-url-1 = {http://people.ee.ethz.ch/~floriand/docs/Articles/BolognaniDorfler_Allerton2015.pdf} 
   }
   




2. F. Pasqualetti, F. Dörfler, and F. Bullo. A Divide-and-Conquer Approach to Distributed Attack Identification. In IEEE Conf. on Decision and Control, Osaka, Japan, pages 5801-5807, December 2015. Keyword(s): Secure Control Systems, Distributed Control Algorithms, Linear Control Design.
   

   @inproceedings{FP-FD-FB:15a,
   address = {Osaka, Japan},
   author = {F. Pasqualetti and F. D{ö}rfler and F. Bullo},
   booktitle = {{IEEE} Conf.\ on Decision and Control},
   date-added = {2015-03-25 08:57:36 +0000},
   date-modified = {2016-07-29 05:26:28 +0000},
   funding = {CNS-1135819, W911NF-09-0001, ETH Zürich Funds},
   keywords = {Secure Control Systems, Distributed Control Algorithms, Linear Control Design},
   month = {December},
   pages = {5801-5807},
   title = {A Divide-and-Conquer Approach to Distributed Attack Identification},
   year = 2015 
   }
   




3. J. W. Simpson-Porco, F. Dörfler, and F. Bullo. A Solvability Condition for Reactive Power Flow. In IEEE Conf. on Decision and Control, Osaka, Japan, pages 2013-2017, December 2015. Keyword(s): Complex Polynomial Networks, Power Networks, Voltage Control.
   

   @inproceedings{JWSP-FD-FB:CDC15,
   address = {Osaka, Japan},
   author = {J. W. Simpson-Porco and F. D{ö}rfler and F. Bullo},
   booktitle = {{IEEE} Conf.\ on Decision and Control},
   date-added = {2015-03-25 09:03:36 +0000},
   date-modified = {2018-05-01 12:14:44 +0000},
   funding = {ETH Zürich Funds},
   keywords = {Complex Polynomial Networks, Power Networks, Voltage Control},
   month = {December},
   pages = {2013-2017},
   title = {A Solvability Condition for Reactive Power Flow},
   year = 2015 
   }
   




4. M. Sinha, F. Dörfler, B. Johnson, and S. Dhople. Virtual Oscillator Control Subsumes Droop Control. In American Control Conference, Chicago, IL, pages 2353-2358, July 2015. Keyword(s): Microgrids, Complex Oscillator Networks, Power Electronics Control, Power Networks, Virtual Oscillator Control.
   

   @inproceedings{MS-FD-BJ-SD:15,
   address = {Chicago, IL},
   author = {M. Sinha and F. D{ö}rfler and B. Johnson and S. Dhople},
   booktitle = {American Control Conference},
   date-added = {2014-09-27 16:06:22 +0000},
   date-modified = {2018-05-01 12:15:30 +0000},
   funding = {ETH Zürich Funds},
   keywords = {Microgrids, Complex Oscillator Networks, Power Electronics Control, Power Networks, Virtual Oscillator Control},
   month = {July},
   pages = {2353-2358},
   pdf = {http://people.ee.ethz.ch/~floriand/docs/Articles/ACC_Sinha_Dorfler_Johnson_Dhople_2015.pdf},
   title = {Virtual Oscillator Control Subsumes Droop Control},
   url = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7171084},
   year = {2015},
   bdsk-url-1 = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7171084} 
   }
   




5. M. Sinha, B. Johnson, N. Ainsworth, F. Dörfler, and S. Dhople. Nonlinear Supersets to Droop Control. In IEEE Workshop on Control and Modeling for Power Electronics (COMPEL), Vancouver, BC, July 2015. Keyword(s): Microgrids, Complex Oscillator Networks, Virtual Oscillator Control, Power Electronics Control, Power Networks.
   

   @inproceedings{MS-BJ-NA-FD-SD:15,
   address = {Vancouver, BC},
   author = {M. Sinha and B. Johnson and N. Ainsworth and F. D{ö}rfler and S. Dhople},
   booktitle = {IEEE Workshop on Control and Modeling for Power Electronics (COMPEL)},
   date-added = {2015-04-15 07:15:23 +0000},
   date-modified = {2018-05-01 12:15:17 +0000},
   funding = {ETH Zürich Funds},
   keywords = {Microgrids, Complex Oscillator Networks, Virtual Oscillator Control, Power Electronics Control, Power Networks},
   month = {July},
   pdf = {http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7236441},
   title = {Nonlinear Supersets to Droop Control},
   url = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7236441},
   year = {2015},
   bdsk-url-1 = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7236441} 
   }
   




6. T. Summers, I. Shames, J. Lygeros, and F. Dörfler. Topology Design for Optimal Network Coherence. In European Control Conference, 2015. Note: Available at http://arxiv.org/abs/1411.4884. Keyword(s): Distributed Control Algorithms, Linear Control Design, Wide-Area Control.
   

   @inproceedings{TS-IS-JL-FD:15,
   author = {Summers, T. and Shames, I. and Lygeros, J. and D{ö}rfler, F.},
   booktitle = {European Control Conference},
   date-added = {2014-10-27 21:15:37 +0000},
   date-modified = {2017-02-03 20:48:18 +0000},
   funding = {ETH Zürich Funds},
   keywords = {Distributed Control Algorithms, Linear Control Design, Wide-Area Control},
   note = {{Available at {http://arxiv.org/abs/1411.4884}}},
   pdf = {http://arxiv.org/pdf/1411.4884v1.pdf},
   title = {Topology Design for Optimal Network Coherence},
   url = {http://arxiv.org/abs/1411.4884},
   year = {2015},
   bdsk-url-1 = {http://arxiv.org/abs/1411.4884} 
   }
   




7. M. Todescato, J. W. Simpson-Porco, F. Dörfler, R. Carli, and F. Bullo. Optimal Voltage Support and Stress Minimization in Power Networks. In IEEE Conf. on Decision and Control, Osaka, Japan, pages 6921-6926, December 2015. Keyword(s): Complex Polynomial Networks, Power Networks, Voltage Control.
   

   @inproceedings{MT-JWSP-FD-RC-FB:CDC15,
   address = {Osaka, Japan},
   author = {M. Todescato and J. W. Simpson-Porco and F. D{ö}rfler and R. Carli and F. Bullo},
   booktitle = {{IEEE} Conf.\ on Decision and Control},
   date-added = {2015-03-25 09:06:02 +0000},
   date-modified = {2016-07-29 05:23:13 +0000},
   funding = {ETH Zürich Funds},
   keywords = {Complex Polynomial Networks, Power Networks, Voltage Control},
   month = {December},
   pages = {6921-6926},
   title = {Optimal Voltage Support and Stress Minimization in Power Networks},
   year = 2015 
   }
   




8. X. Wu, F. Dörfler, and M. R. Jovanovic. Decentralized optimal control of inter-area oscillations in bulk power systems. In IEEE Conf. on Decision and Control, Osaka, Japan, pages 5532 - 5537, December 2015. Keyword(s): Linear Control Design, Wide-Area Control, Power Networks.
   

   @inproceedings{XW-FD-MJ:15b,
   address = {Osaka, Japan},
   author = {X. Wu and F. D{ö}rfler and M. R. Jovanovic},
   booktitle = {{IEEE} Conf.\ on Decision and Control},
   date-added = {2015-03-25 08:59:45 +0000},
   date-modified = {2016-07-29 05:23:53 +0000},
   funding = {ETH Zürich Funds},
   keywords = {Linear Control Design, Wide-Area Control, Power Networks},
   month = {December},
   pages = {5532 - 5537},
   title = {Decentralized optimal control of inter-area oscillations in bulk power systems},
   year = 2015 
   }
   




9. J. Zhao and F. Dörfler. Distributed Control, Load Sharing, and Dispatch in DC Microgrids. In American Control Conference, Chicago, IL, pages 3304-3309, July 2015. Keyword(s): Microgrids, Distributed Control Algorithms, DC Grids.
   

   @inproceedings{JZ-FD:15,
   address = {Chicago, IL},
   author = {J. Zhao and F. D{ö}rfler},
   booktitle = {American Control Conference},
   date-added = {2014-09-27 16:03:10 +0000},
   date-modified = {2015-10-19 13:23:26 +0000},
   keywords = {Microgrids, Distributed Control Algorithms, DC Grids},
   month = {July},
   pages = {3304-3309},
   pdf = {http://people.ee.ethz.ch/~floriand/docs/Articles/Zhao_Dorfler_ACC_2015.pdf},
   title = {Distributed Control, Load Sharing, and Dispatch in {DC} Microgrids},
   url = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7171842},
   year = {2015},
   bdsk-url-1 = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7171842} 
   }
   




10. C. Zhao, E. Mallada, and F. Dörfler. Distributed Frequency Control for Stability and Economic Dispatch in Power Networks. In American Control Conference, Chicago, IL, pages 2359-2364, July 2015. Keyword(s): Microgrids, Power Networks, Distributed Control Algorithms, Frequency Control.
    

    @inproceedings{CZ-EM-FD:15,
    address = {Chicago, IL},
    author = {C. Zhao and E. Mallada and F. D{ö}rfler},
    booktitle = {American Control Conference},
    date-added = {2014-09-27 16:01:11 +0000},
    date-modified = {2017-02-03 20:48:48 +0000},
    funding = {UCLA Startup Funds},
    keywords = {Microgrids, Power Networks, Distributed Control Algorithms, Frequency Control},
    month = {July},
    pages = {2359-2364},
    pdf = {http://people.ee.ethz.ch/~floriand/docs/Articles/ZhaoMalladaDorfler_ACC15.pdf},
    title = {Distributed Frequency Control for Stability and Economic Dispatch in Power Networks},
    url = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7171085},
    year = {2015},
    bdsk-url-1 = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=7171085} 
    }
    

1. M. Fazlyab, F. Dörfler, and V. M. Preciado. Optimal Design for Synchronization of Kuramoto Oscillators in Tree Networks, March 2015. Note: Available at http://arxiv.org/abs/1503.07254v1. Keyword(s): Complex Oscillator Networks.
   

   @misc{MF-FD-VMP:15-arxiv,
   author = {M. Fazlyab and F. D{ö}rfler and V. M. Preciado},
   date-added = {2015-03-26 14:18:25 +0000},
   date-modified = {2016-07-29 05:42:19 +0000},
   funding = {ETH Zürich Funds},
   keywords = {Complex Oscillator Networks},
   month = {March},
   note = {{Available at {http://arxiv.org/abs/1503.07254v1}}},
   pdf = {http://arxiv.org/pdf/1503.07254v1.pdf},
   title = {Optimal Design for Synchronization of Kuramoto Oscillators in Tree Networks},
   year = 2015,
   bdsk-url-1 = {http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=6545301&queryText%3DAttack+Detection+and+Identification} 
   }
   




2. B. K. Poolla, S. Bolognani, and F. Dörfler. Placing Rotational Inertia in Power Grids, October 2015. Note: Available at http://arxiv.org/pdf/1510.01497v1.pdf. Keyword(s): Power Networks, Low-Inertia Systems, Frequency Control.
   

   @misc{BKP-SB-FD:15-arxiv,
   author = {Poolla, B. K. and Bolognani, S. and D{ö}rfler, F.},
   date-added = {2015-10-07 07:36:57 +0000},
   date-modified = {2016-06-29 15:20:33 +0000},
   keywords = {Power Networks, Low-Inertia Systems, Frequency Control},
   month = {October},
   note = {{Available at {http://arxiv.org/pdf/1510.01497v1.pdf}}},
   pdf = {http://arxiv.org/pdf/1510.01497v3.pdf},
   title = {Placing Rotational Inertia in Power Grids},
   url = {http://arxiv.org/abs/1510.01497},
   year = {2015},
   bdsk-url-1 = {http://arxiv.org/abs/1503.04769} 
   }
   




3. J. W. Simpson-Porco, F. Dörfler, and F. Bullo. On Resistive Networks of Constant Power Devices, March 2015. Note: Available at http://arxiv.org/pdf/1503.04769v1.pdf. Keyword(s): Microgrids, Complex Polynomial Networks, DC Grids, Voltage Control.
   

   @misc{JWSP-FD-FB:DC14-arxiv,
   author = {J. W. Simpson-Porco and F. D{ö}rfler and F. Bullo},
   date-added = {2015-03-19 08:00:08 +0000},
   date-modified = {2016-05-31 09:52:30 +0000},
   keywords = {Microgrids, Complex Polynomial Networks, DC Grids, Voltage Control},
   month = {March},
   note = {{Available at {http://arxiv.org/pdf/1503.04769v1.pdf}}},
   pdf = {http://arxiv.org/pdf/1503.04769v1.pdf},
   title = {On Resistive Networks of Constant Power Devices},
   url = {http://arxiv.org/abs/1503.04769},
   year = {2015},
   bdsk-url-1 = {http://arxiv.org/abs/1503.04769} 
   }
   




4. J. W. Simpson-Porco, F. Dörfler, and F. Bullo. Voltage Stabilization in Microgrids via Quadratic Droop Control, July 2015. Note: Available at http://arxiv.org/pdf/1507.00431v1.pdf. Keyword(s): Microgrids, Complex Polynomial Networks, DC Grids.
   

   @misc{JWSP-FD-FB:Q15a-arxiv,
   author = {J. W. Simpson-Porco and F. D{ö}rfler and F. Bullo},
   date-added = {2015-07-03 14:32:09 +0000},
   date-modified = {2015-07-03 14:33:06 +0000},
   funding = {ETH Zürich Funds},
   keywords = {Microgrids, Complex Polynomial Networks, DC Grids},
   month = {July},
   note = {{Available at {http://arxiv.org/pdf/1507.00431v1.pdf}}},
   pdf = {http://arxiv.org/pdf/1507.00431v1.pdf},
   title = {Voltage Stabilization in Microgrids via Quadratic Droop Control},
   url = {http://arxiv.org/abs/1507.00431},
   year = {2015},
   bdsk-url-1 = {http://arxiv.org/abs/1503.04769} 
   }
   




5. J. W. Simpson-Porco, Q. Shafiee, F. Dörfler, J. M. Vasquez, J. M. Guerrero, and F. Bullo. Distributed Averaging Controllers for Secondary Frequency and Voltage Control in Microgrids, April 2015. Note: Available at http://arxiv.org/abs/1504.06784. Keyword(s): Microgrids, Distributed Control Algorithms, Frequency Control, Voltage Control, Power Electronics Control.
   

   @misc{JWSP-QS-FD-JMV-JMG-FB:15-arxiv,
   author = {J. W. Simpson-Porco and Q. Shafiee and F. D{ö}rfler and J. M. Vasquez and J. M. Guerrero and F. Bullo},
   date-added = {2015-04-28 07:05:46 +0000},
   date-modified = {2018-05-01 12:22:31 +0000},
   funding = {ETH Zürich Funds},
   journal = {IEEE Transactions on Industrial Electronics},
   keywords = {Microgrids, Distributed Control Algorithms, Frequency Control, Voltage Control, Power Electronics Control},
   month = {April},
   note = {{Available at {http://arxiv.org/abs/1504.06784}}},
   pdf = {http://arxiv.org/pdf/1504.06784v1.pdf},
   title = {Distributed Averaging Controllers for Secondary Frequency and Voltage Control in Microgrids},
   year = 2015 
   }
   




6. X. Wu, F. Dörfler, and M. R. Jovanovic. Input-output analysis and decentralized optimal control of inter-area oscillations in power systems, February 2015. Note: Available at http://arxiv.org/abs/1502.03221. Keyword(s): Linear Control Design, Wide-Area Control, Power Networks.
   

   @misc{XW-FD-MJ:15a-arxiv,
   author = {X. Wu and F. D{ö}rfler and M. R. Jovanovic},
   date-added = {2015-02-13 07:12:54 +0000},
   date-modified = {2015-05-19 06:24:47 +0000},
   funding = {IIS-0904501, CPS-1135819, ETH Zürich Funds},
   keywords = {Linear Control Design, Wide-Area Control, Power Networks},
   month = {February},
   note = {{Available at {http://arxiv.org/abs/1502.03221}}},
   pdf = {http://arxiv.org/pdf/1502.03221v2.pdf},
   title = {Input-output analysis and decentralized optimal control of inter-area oscillations in power systems},
   year = 2015,
   bdsk-url-1 = {http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=6580499&queryText%3DSparse+and+optimal+wide-area+damping+control+in+power+networks} 
   }
   

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