Nonuniform in time input-to-state stability and the small-gain theorem

Karafyllis I.; Tsinias J.

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Nonuniform in time input-to-state stability and the small-gain theorem

机译：时间输入状态稳定性和小增益定理不一致

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摘要

For time-varying control systems various equivalent characterizations of the nonuniform in time input-to-state stability (ISS) property are established. These characterizations enable us to derive sufficient conditions for nonuniform in time ISS concerning composite time-varying systems. Our main result generalizes the well-known small-gain theorem due to Jiang-Teel-Praly for autonomous systems under the presence of uniform in time ISS.

机译：对于时变控制系统，建立了时间输入到状态稳定性（ISS）属性不均匀的各种等效特征。这些特征使我们能够为有关复合时变系统的时间ISS的不均匀性推导充分条件。我们的主要结果归纳了在时间均匀ISS的情况下，针对自主系统的Jiang-Teel-Praly产生的著名小增益定理。

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《IEEE Transactions on Automatic Control》 |2004年第2期|p.196-216|共21页
作者
Karafyllis I.; Tsinias J.;
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正文语种 eng
中图分类自动化系统;
关键词
Lyapunov methods; feedback; nonlinear control systems; stability; time-varying systems; Lyapunov functions; autonomous systems; feedback stabilization; nonlinear systems; nonuniform in time input-to-state stability; small-gain theorem; time-varying control systems;

机译：Lyapunov方法;反馈;非线性控制系统;稳定性;时变系统;Lyapunov函数;自治系统;反馈稳定;非线性系统;时间输入到状态稳定性不一致;小增益定理;时变控制系统;

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Nonuniform in time input-to-state stability and the small-gain theorem

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