On Nonuniform and Semi-Uniform Input-to-State Stability for Time Varying Systems
| Authors: | Lin Yuandan, Florida Atlantic University, United States
Wang Yuan, Florida Atlantic University, United States
Cheng Daizhan, Institute of Systems Science, Chinese Academy of Sciences, 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: | input-to-state stability, time-varying nonlinear systems, Lyapunov functions, asymptotic gains, small gain theorems |
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Abstract
In this work we discuss nonuniform and semi-uniform input-to-state stability (ISS) properties for time-varying systems. Treating the ISS properties for a time varying system as properties related to output stability for a time invariant auxiliary system, we provide several characterizations in terms of Lyapunov functions and the asymptotic gains; as well as a small gain theorem, for the time varying notions on input-to-state stability.
