State-dependent scaling characterization of stability and performance for nonlinear interconnected systems
State-dependent scaling characterization of stability and performance for nonlinear interconnected systems
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非线性互连系统稳定性和性能的状态相关标度表征
DOI：
10.1109/cdc.2002.1184981
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
H. Ito
中科院分区：
文献类型：
--
作者：
H. Ito
本文通过光滑推广最近发展起来的状态相关标度法，提出了非线性互联系统稳定性和性能的新判据。该标准是直接相关的李雅普诺夫函数，使他们展示了如何构建李雅普诺夫函数建立所需的稳定性和性能明确。一组流行的李雅普诺夫稳定性准则，输入状态稳定性，小增益定理和缩放/spl Hscr/;/sup /spl infin//小增益条件（或结构奇异值）作为特殊情况。结果是通过引入状态相关标度到耗散系统的李雅普诺夫稳定性方法。
This paper proposes new criteria for stability and performance of nonlinear interconnected systems by smoothly generalizing a recently-developed method of the state-dependent scaling. The criteria are directly related to Lyapunov functions so that they show how to construct Lyapunov functions which establish the desired stability and performance explicitly. A set of popular Lyapunov stability criteria, the input-to-state stability, small-gain theorem and scaled /spl Hscr/;/sup /spl infin// small-gain condition (or structured singular value) are included as special cases. The results are obtained by introducing state-dependent scaling into a Lyapunov stability approach to dissipative systems.