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Analysis of Input to State Stability for Discrete Time Nonlinear Systems via Dynamic Programming

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Date

2003

Authors

Huang, Shoudong
James, Matthew
Nesic, Dragan
Dower, Peter M

Journal Title

Journal ISSN

Volume Title

Publisher

Institute of Electrical and Electronics Engineers (IEEE Inc)

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).

Description

Keywords

Keywords: Discrete time nonlinear systems; State stability; Computational methods; Dynamic programming; Estimation; Mathematical models; Nonlinear systems; Problem solving; Discrete time control systems

Citation

URI

http://hdl.handle.net/1885/86635

Collections

ANU Research Publications

Source

Proceedings of the 42nd IEEE Conference on Decision and Control

Type

Conference paper

Book Title

Entity type

Access Statement

License Rights

DOI

10.1109/CDC.2003.1272438

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