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arXiv math/0112021math.OC
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渐近柯西增益:定义和小增益原理

Asymptotic cauchy gains: Definitions and small-gain principle

Eduardo D. Sontag

摘要:

引入了输入/输出系统的“渐近柯西增益”概念和相关的小增益原理。一个类似李雅普诺夫的表征允许计算这些增益的状态空间系统,和制定的充分条件,确保缺乏振荡和混沌行为,在各种各样的级联和反馈回路。

英文摘要:

A notion of "asymptotic Cauchy gain" for input/output systems, and an associated small-gain principle, are introduced. A Lyapunov-like characterization allows the computation of these gains for state-space systems, and the formulation of sufficient conditions insuring the lack of oscillations and chaotic behaviors in a wide variety of cascades and feedback loops.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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