离散广义系统反馈连接稳定性的无源方法

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228) Pub Date : 2001-12-04 DOI:10.1109/CDC.2001.980710

Jian-Liung Chen, L. Lee

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引用次数: 23

摘要

提出了一种基于线性矩阵不等式(LMI)的无源方法，用于研究具有无源非线性的离散线性广义系统反馈连接的输入输出和内部稳定性问题。我们证明了在温和条件下，一组lmi等价于线性广义系统的严格正实在性，并且足够强以保证反馈连接的有限增益l/sub 2/-稳定性和渐近超稳定性。

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Passivity approach to feedback connection stability for discrete-time descriptor systems

The linear matrix inequality (LMI)-based passivity approach to studying both input-output and internal stability problems for feedback connections of discrete-time linear descriptor systems with passive nonlinearities is developed. We show that, under a mild condition, a set of LMIs is equivalent to the strictly positive realness of the linear descriptor systems, and is strong enough to guarantee both the finite gain l/sub 2/-stability and asymptotic hyperstability of the feedback connection.

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来源期刊

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)

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