Stability analysis via averaging for nonlinear systems with delays

CDC(2014)

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摘要
In this work we consider stability of time-varying systems with time delays via the averaging method. It is shown that if the strong averaged system of a system affected by a small positive parameter ε admits a Lyapunov-Razumikhin function for the input-to-state stability (ISS) property, then the original system satisfies a semiglobal and practical ISS-like property as the small parameter ε converges to zero.
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关键词
small positive parameter,strong averaged system,time-varying systems,razumikhin function,nonlinear systems,delays,nonlinear control systems,averaging method,practical iss-like property,stability analysis,stability,semiglobal iss-like property,lyapunov methods,input-to-state stability property,time delays
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