Results on robust stability and feedback stabilization for systems with a continuum of equilibria

Author

Goebel, Rafal

Author_Institution

Dept. of Math. & Stat., Loyola Univ. Chicago, Sheridan, IL, USA

fYear

2014

fDate

15-17 Dec. 2014

Firstpage

2282

Lastpage

2286

Abstract

A discrete-time dynamical system, with a continuum of equilibria and nonlinear, multivalued dynamics is discussed. An asymptotic stability property, its robustness, and necessary and sufficient Lyapunov-like conditions are presented. The conditions involve a set-valued Lyapunov function. Then a control system is studied, in which the stability property can be achieved by open-loop controls, and a feedback control construction is presented. Set-valued control Lyapunov functions are introduced, for the purpose of robust feedback design.

Keywords

Lyapunov methods; asymptotic stability; control system synthesis; discrete time systems; feedback; nonlinear control systems; open loop systems; robust control; set theory; asymptotic stability property; continuum of equilibria; discrete-time dynamical system; feedback control construction; necessary Lyapunov-like conditions; nonlinear multivalued dynamics; open-loop control; robust feedback design; robustness; set-valued Lyapunov function; stability property; sufficient Lyapunov-like conditions; Asymptotic stability; Controllability; Lyapunov methods; Nonlinear control systems; Robustness; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on

Conference_Location

Los Angeles, CA

Print_ISBN

978-1-4799-7746-8

Type

conf

DOI

10.1109/CDC.2014.7039735

Filename

7039735