DocumentCode :
404282
Title :
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
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=404282
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