Analysis of input to state stability for discrete time nonlinear systems via dynamic programming

Author

Shoudong Huang ; James, M.R. ; Nesic, Dragan ; Dower, Peter

Author_Institution

Dept. of Eng., Australian Nat. Univ., Canberra, ACT, Australia

Volume

5

fYear

2003

fDate

9-12 Dec. 2003

Firstpage

5068

Abstract

This paper presents novel analysis results for input-to-state stability (ISS) that utilise dynamic programming techniques to characterise minimal ISS gains and transient bounds. These characterisations naturally lead to computable necessary and sufficient conditions for ISS. Our results make a connection between ISS and optimisation problems in nonlinear dissipative systems theory (including L₂-gain analysis and nonlinear H_∞ theory).

Keywords

Lyapunov methods; asymptotic stability; discrete time systems; dynamic programming; nonlinear control systems; L₂-gain analysis; Lyapunov methods; discrete time nonlinear systems; dynamic programming; input to state stability; necessary conditions; nonlinear H_∞ theory; nonlinear dissipative systems theory; optimisation; sufficient conditions; transient bounds; Australia Council; Dynamic programming; Lyapunov method; Nonlinear equations; Nonlinear systems; Optimization methods; Robust stability; Stability analysis; Sufficient conditions; Transient analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7924-1

Type

conf

DOI

10.1109/CDC.2003.1272438

Filename

1272438