Constrained input-to-state stability of nonlinear systems
| Authors: | Chen Tianshi, Harbin Institute of Technology, China
Liu Zhiyuan, Harbin Institute of Technology, China
Chen Hong, Jilin University, China
Pei Run, Harbin Institute of Technology, China |
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| Topic: | 2.3 Non-Linear Control Systems |
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| Session: | Input-to-State Stability and Passivity |
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| Keywords: | Stability analysis, nonlinear systems, nonlinear control systems,Lyapunov methods, optimal control, inverse problems |
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Abstract
Input-to-state stability (ISS), integral-ISS (iISS) and theirrelated notions of input/output stability and detectability havebecome a useful framework for nonlinear feedback analysis anddesign. In this paper, a new notion, that of constrainedinput-to-state stability (cISS), is presented and severalcharacterizations of cISS are obtained. cISS, unlike ISS or iISS,is not confined to forward complete systems and generalizes thesmall-signal L_inf stability. Moreover, for a class ofnonlinear systems, constrained input-to-state stabilizabilityimplies the solvability of an inverse optimal problem. The papershows that cISS is a natural concept to improve the ISS framework.
