Growth conditions for the stability of a class of time-varying perturbed singular systems

IF 0.9 4区计算机科学 Q4 COMPUTER SCIENCE, CYBERNETICS

Kybernetika Pub Date : 2022-04-01 DOI:10.14736/kyb-2022-1-0001

Faten Ezzine, M. Hammami

引用次数: 2

Abstract

In this paper, we investigate the problem of stability of linear time–varying singular systems, which are transferable into a standard canonical form. Sufficient conditions on exponential stability and practical exponential stability of solutions of linear perturbed singular systems are obtained based on generalized Gronwall inequalities and Lyapunov techniques. Moreover, we study the problem of stability and stabilization for some classes of singular systems. Finally, we present a numerical example to validate the effectiveness of the abstract results of this paper.

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一类时变摄动奇异系统稳定性的增长条件

本文研究了可转换为标准正则形式的线性时变奇异系统的稳定性问题。基于广义Gronwall不等式和Lyapunov技术，得到了线性摄动奇异系统解的指数稳定性和实际指数稳定性的充分条件。此外，我们还研究了一类奇异系统的稳定性和镇定问题。最后，通过数值算例验证了本文摘要结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Kybernetika 工程技术-计算机：控制论

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： Kybernetika is the bi-monthly international journal dedicated for rapid publication of high-quality, peer-reviewed research articles in fields covered by its title. The journal is published by Nakladatelství Academia, Centre of Administration and Operations of the Czech Academy of Sciences for the Institute of Information Theory and Automation of The Czech Academy of Sciences. Kybernetika traditionally publishes research results in the fields of Control Sciences, Information Sciences, Statistical Decision Making, Applied Probability Theory, Random Processes, Operations Research, Fuzziness and Uncertainty Theories, as well as in the topics closely related to the above fields.