Canonical forms for stochastic nonlinear systems

Author

Pan, Zigang

Author_Institution

Dept. of Electr. Eng., Polytech. Univ., Brooklyn, NY, USA

Volume

1

fYear

1997

fDate

10-12 Dec 1997

Firstpage

24

Abstract

We investigate the necessary and sufficient conditions for the existence of diffeomorphisms that transforms stochastic nonlinear systems to various canonical forms. A main tool in our analysis is the so called invariance under transformation rule that directly relates the coordinate transformation for stochastic nonlinear systems to that for deterministic uncertain nonlinear systems. This invariance rule allows the utilization of the existing necessary and sufficient conditions for deterministic nonlinear systems to the associated stochastic nonlinear systems

Keywords

differential equations; invariance; nonlinear systems; stochastic systems; uncertain systems; canonical forms; deterministic uncertain systems; diffeomorphisms; invariance; necessary condition; nonlinear systems; stochastic differential equations; stochastic systems; sufficient condition; Algorithm design and analysis; Backstepping; Control systems; Linear systems; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Stability; Stochastic systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.650582

Filename

650582