Description of le

DESCRIPTION

LE Checks if polytope P is a subset of polytope Q

 status = le(P,Q,Options)

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 DESCRIPTION
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 STATUS = LE(P,Q) returns TRUE (1) if P<=Q (i.e. P is a subset of Q)

 USAGE:
   P<=Q
   le(P,Q)
   le(P,Q,Options)

 NOTE:
   If P is an empty polytope, the statement is always TRUE
   If Q is an empty polytope, the statement is always FALSE

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 INPUT
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 P,Q              - Polytopes
 Options.rel_tol  - relative tolerance
 Options.abs_tol  - absolute tolerance
 Options.lpsolver - LP solver to use (see help mpt_solveLP)

 Note: If Options is missing or some of the fields are not defined, the default
       values from mptOptions will be used

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 OUTPUT                                                                                                    
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 status           - Logical statement (true if P<=Q, false otherwise)

 see also GE, EQ, NE, LT, GT

CROSS-REFERENCE INFORMATION

length LENGTH Returns number of regions over which the explicit control law is defined

bounding_box BOUNDING_BOX Compute a bounding box for a given polytope

dimension DIMENSION Returns dimension of the given polytope

end END Returns the last element in a given polytope array

isfulldim ISFULLDIM Checks if a polytope is full dimensional

le LE Checks if polytope P is a subset of polytope Q

length LENGTH Returns number of elements in a polytope array

mldivide MLDIVIDE Set difference

chebyball_f CHEBYBALL_F Computes center and radius of the largest ball inscribed in a polytope

size SIZE Returns size of the given polytope object

mpt_error MPT_ERROR Function called if MPT toolbox is not initialized

display DISPLAY Displays details about the given polytope

ge GE Checks if polytope P is a superset of polytope Q

le LE Checks if polytope P is a subset of polytope Q

mpt_maxCtrlSet MPT_MAXCTRLSET Computes the maximal robust control invariant set C_inf

mpt_boolMinTime MPT_BOOLMINTIME Computes minimum time controller for systems with discrete inputs

mpt_iterative MPT_ITERATIVE Computes a time-optimal or low-complexity explicit controller for LTI systems

mpt_iterativePWA MPT_ITERATIVEPWA Computes a time-optimal or low-complexity explicit controller for PWA systems

mpt_mixedMinTime MPT_MIXEDMINTIME Computes minimum time controller for systems with discrete and continuous inputs

le

PURPOSE

SYNOPSIS

DESCRIPTION

CROSS-REFERENCE INFORMATION