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

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).

• Type: Journal
• Year: 2005
• Where: AUTOMATICA
• Authors: Shoudong Huang, Matthew R. James, Dragan Nesic, Peter M. Dower
• Keywords: AUTOMATICA 2005, Dynamic Programming Techniques, Minimal Iss Gains, Nonlinear Dissipative Systems