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# isminrep

## PURPOSE

ISMINREP Checks if a given polytope is in minimal representation

## SYNOPSIS

function status = isminrep(P)

## DESCRIPTION

```ISMINREP Checks if a given polytope is in minimal representation

status = isminrep(P)

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DESCRIPTION
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STATUS = ISMINREP(P) returns TRUE (1) if P is in minimal representation

NOTE:
if P is a polyarray, STATUS will be a vector of statements

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INPUT
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P        - polytope

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OUTPUT
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status   - Logical statement

## CROSS-REFERENCE INFORMATION

This function calls:
• length LENGTH Returns number of regions over which the explicit control law is defined
• end END Returns the last element in a given polytope array
• length LENGTH Returns number of elements in a polytope array
This function is called by:
• analyticCenter ANALYTICCENTER Computes an analytic center of a polytope
• distribpoints DISTRIBPOINTS Distribute n points such that distances between them are maximized
• facetvoronoi FACETVORONOI Computes an equivalent of voronoi diagrams for facets
• isbounded ISBOUNDED Checks if a polytope is bounded
• mtimes MTIMES Polytope multiplication
• projection PROJECTION Projection of a polytope or a polytope array
• regiondiff REGIONDIFF Region difference
• mpt_maxCtrlSet MPT_MAXCTRLSET Computes the maximal robust control invariant set C_inf
• mpt_mplp_ver4 MPT_MPLP Explicitly solves the given linear program (LP)
• 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
• hull HULL Converts vertices/polytope array into an H-representation polytope

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