An invariance principle for nonlinear hybrid and impulsive dynamical systems

Author

Chellaboina, VijaySekhar ; Bhat, Sanjay P. ; Haddad, Wassim M.

Author_Institution

Dept. of Mech. & Aerosp. Eng., Missouri Univ., Columbia, MO, USA

Volume

5

fYear

2000

fDate

2000

Firstpage

3116

Abstract

In this paper we develop an invariance principle for dynamical systems possessing left-continuous flows. As a special case of this result we state and prove new invariant set stability theorems for a class of nonlinear impulsive dynamical systems; namely, state-dependent impulsive dynamical systems. These results provide less conservative stability conditions for impulsive systems as compared to classical results in literature and allow us to address the stability of limit cycles and periodic orbits of impulsive systems

Keywords

invariance; limit cycles; nonlinear control systems; nonlinear dynamical systems; stability criteria; invariance principle; invariant set stability theorems; left-continuous flows; limit cycles; nonlinear hybrid dynamical systems; nonlinear impulsive dynamical systems; periodic orbits; stability conditions; state-dependent impulsive dynamical systems; Aerospace engineering; Demography; Difference equations; Differential equations; Limit-cycles; Lyapunov method; Nonlinear dynamical systems; Orbits; Stability; Systems engineering and theory;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2000. Proceedings of the 2000

Conference_Location

Chicago, IL

ISSN

0743-1619

Print_ISBN

0-7803-5519-9

Type

conf

DOI

10.1109/ACC.2000.879139

Filename

879139