Huang, ShoudongJames, MatthewNesic, DraganDower, Peter M2015-12-132015-12-13December 9078037925Xhttp://hdl.handle.net/1885/86635This 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: Discrete time nonlinear systems; State stability; Computational methods; Dynamic programming; Estimation; Mathematical models; Nonlinear systems; Problem solving; Discrete time control systems200310.1109/CDC.2003.12724382015-12-12