A unification between partial stability of state-dependent impulsive systems and stability theory for time-dependent impulsive systems

Author

Haddad, Wassim M. ; Chellaboina, VijaySekhar ; Nersesov, Sergey G.

Author_Institution

Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

Volume

5

fYear

2003

fDate

4-6 June 2003

Firstpage

4004

Abstract

In this paper, we present partial stability results; that is, stability with respect to part of the system´s state, for nonlinear impulsive dynamical systems. Using these results, we provide unification between partial stability theory for (autonomous) state-dependent impulsive dynamical systems and stability theory for (non-autonomous) time-dependent impulsive dynamical systems. This unification allows for stability theory of time-dependent impulsive systems to be presented as a special case of partial stability theory for state-dependent impulsive systems.

Keywords

differential equations; nonlinear control systems; nonlinear dynamical systems; stability; nonlinear impulsive dynamical systems; partial stability theory unification; state-dependent impulsive systems; time-dependent impulsive systems; Aerodynamics; Aerospace engineering; Differential equations; Ear; Nonlinear equations; Stability analysis; State-space methods; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1240462

Filename

1240462