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

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


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).

CollectionsANU Research Publications
Date published: 2003
Type: Conference paper
Source: Proceedings of the 42nd IEEE Conference on Decision and Control
DOI: 10.1109/CDC.2003.1272438


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