一类时变系统的部分稳定性分析

Poincare Journal of Analysis and Applications Pub Date : 2022-12-31 DOI:10.46753/pjaa.2022.v09i02.002

Faten Ezzine, †. Mohamedalihammami

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引用次数: 0

摘要

在这项工作中，我们通过比较函数来刻画非线性系统的部分稳定性。此外，我们在李雅普诺夫技术中发展了线性时变系统的部分稳定性。此外，还研究了李雅普诺夫的间接方法来导出局部偏指数稳定性。我们给出了线性时变扰动系统解的部分一致指数稳定性和部分实用一致指数稳定性的充分条件。最后，给出了一个数值例子。

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PARTIAL STABILITY ANALYSIS OF SOME CLASSES OF TIME–VARYING SYSTEMS

. In this work, we characterize the partial stability of nonlinear systems via comparison functions. Further, we develop the partial stability of linear time– varying systems within Lyapunov techniques. Moreover, the indirect method of Lyapunov is also investigated to derive the local partial exponential stability. We state suﬀicient conditions on partial uniform exponential stability and partial practical uniform exponential stability of solutions of linear time–varying perturbed systems. Finally, an illustrative numerical example is provided.

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来源期刊

Poincare Journal of Analysis and Applications Mathematics-Applied Mathematics

CiteScore

0.60

自引率

0.00%

发文量