Title :
Simple LP-type criteria for positively invariant polyhedral sets
Author :
Yoshida, Kazunobu ; Kawabe, Hisashi ; Nishimura, Yukio
Author_Institution :
Dept. of Electron. Control Syst. Eng., Shimane Univ., Matsue, Japan
fDate :
1/1/2000 12:00:00 AM
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
Keywords :
computational geometry; continuous time systems; discrete time systems; state-space methods; LP-type criteria; LP-type formulas; algebraic condition; algebraic conditions; continuous-time systems; convex polyhedral set; discrete-time systems; linear dynamical system; positively invariant polyhedral sets; redundancies; standard LP-type formulas; state space methods; Differential equations; Feedback; Filtering theory; Genetics; Mathematics; Nonlinear equations; Nonlinear systems; Stability; Stochastic processes; Stochastic systems;
Journal_Title :
Automatic Control, IEEE Transactions on
