Stability analysis of systems with impulse effects

Author

Ye, Hongxia ; Michel, A.N. ; Hou, Liwen

Author_Institution

Wireless Technol. Lab., Lucent Technol., Whippany, NJ

Volume

43

Issue

12

fYear

1998

fDate

12/1/1998 12:00:00 AM

Firstpage

1719

Lastpage

1723

Abstract

The authors establish conditions for the uniform stability and the uniform asymptotic stability of equilibria of systems with impulse effects described by systems of nonlinear, time-varying ordinary differential equations. Under mild additional assumptions, these sufficient conditions turn out to be necessary as well. For the case of time-invariant systems with impulse effects described by nonlinear ordinary differential equations, the above results are used to establish conditions under which the uniform asymptotic stability of equilibria can be deduced from the linearizations of such systems

Keywords

Lyapunov methods; asymptotic stability; differential equations; linearisation techniques; nonlinear systems; time-varying systems; transient response; Lyapunov method; asymptotic stability; differential equations; hybrid dynamical systems; impulse effects; linearization; nonlinear systems; sufficient conditions; time-invariant systems; time-varying systems; uniform stability; Asymptotic stability; Clocks; Differential equations; Electric shock; Lyapunov method; Rockets; Stability analysis; Sufficient conditions; Systems engineering and theory; Time varying systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.736069

Filename

736069