A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems

A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
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DOI：
10.1016/0005-1098(96)00051-9
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发表时间：
1996-08
期刊：
Autom.
影响因子：
--
通讯作者：
Zhong-Ping Jiang;I. Mareels;Y. Wang
Zhong-Ping Jiang;I. Mareels;Y. Wang
中科院分区：
其他
文献类型：
--
作者：
Zhong-Ping Jiang;I. Mareels;Y. Wang

文献摘要

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本文的目的是给出关联输入/状态稳定(ISS)系统的Lyapunov表述和最近的非线性小增益定理的证明。整个系统的ISS-Lyapunov函数是从两个子系统对应的Lyapunov函数得到的。
The goal of this paper is to provide a Lyapunov statement and proof of the recent nonlinear small-gain theorem for interconnected input/state-stable (ISS) systems. An ISS-Lyapunov function for the overall system is obtained from the corresponding Lyapunov functions for both the subsystems.