通过耗散不等式表征具有混合输入-输出性质的非线性系统
Characterizing nonlinear systems with mixed input-output properties through dissipation inequalities
AI总结：
本文基于耗散性框架和广义 KYP 引理，提出用专门供给率表征非线性系统混合输入-输出性质的构造方法，并用于分析不满足经典小增益或无源性条件的反馈互连稳定性。
摘要：
根据输入性质而表现出不同特征（例如有限增益和无源性）的系统，被称为具有混合输入-输出性质。本文提出一种构造性方法，利用耗散性框架来表征非线性系统的混合输入-输出性质。研究结果受广义 Kalman-Yakubovich-Popov 引理启发，表明若一个系统相对于高度专门化的供给率是耗散的，则该系统是混合的。该混合输入-输出表征用于评估反馈互连的稳定性，在这些互连中，反馈组件违反了小增益定理和无源性定理等经典结果的条件。我们通过多个示例展示了研究结果的适用性。
英文摘要：
Systems that show different characteristics, such as finite-gain and passivity, depending on the nature of the inputs, are said to possess mixed input-output properties. In this paper, we provide a constructive method for characterizing mixed input-output properties of nonlinear systems using a dissipativity framework. Our results take inspiration from the generalized Kalman-Yakubovich-Popov lemma, and show that a system is mixed if it is dissipative with respect to highly specialized supply rates. The mixed input-output characterization is used for assessing stability of feedback interconnections in which the feedback components violate conditions of classical results such as the small-gain and passivity theorem. We showcase applicability of our results through various examples.
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。
