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

Volume

45

Issue

1

fYear

2000

fDate

1/1/2000 12:00:00 AM

Firstpage

98

Lastpage

101

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;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.827362

Filename

827362