时滞系统的隐式Lyapunov-Krasovski泛函

53rd IEEE Conference on Decision and Control Pub Date : 2014-12-15 DOI:10.1109/CDC.2014.7039543

A. Polyakov, D. Efimov, W. Perruquetti, J. Richard

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引用次数: 11

摘要

介绍了用于时滞系统稳定性分析的隐式Lyapunov-Krasovski泛函(ILKF)方法。给出了利用ILKF进行Lyapunov、渐近、有限时间、固定时间和(超)指数稳定性分析的定理。研究了一类时滞系统的超指数镇定算法。理论结果得到了数值模拟的支持。

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Implicit Lyapunov-Krasovski Functionals for time delay systems

The method of Implicit Lyapunov-Krasovski Functional (ILKF) for stability analysis of time-delay systems is introduced. Theorems on Lyapunov, asymptotic, fiite-time, fixed-time and (hyper-)exponential stability analysis using ILKF are presented. The hyper exponential stabilization algorithm for a time-delay system is developed. The theoretical results are supported by numerical simulations.

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53rd IEEE Conference on Decision and Control

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