Simple LP-type criteria for positively invariant polyhedral sets |
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Authors: | Yoshida K Kawabe H Nishimura Y |
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Affiliation: | Dept. of Electron. Control Syst. Eng., Shimane Univ., Matsue; |
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Abstract: | Let S be a convex polyhedral set in the state space of a linear dynamical system. A new proof of an algebraic condition for the set S to be positively invariant is given by the dual set of S. The condition obtained in this correspondence can be examined by solving a set of standard LP-type formulas. It is also shown that the conventional algebraic conditions have redundancies in the LP-type formulas. Discrete-time systems as well as continuous-time systems are considered |
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