RESEARCH OF THE ASYMPTOTIC EQUILIBRIUM OF TIME-DELAY SYSTEMS BY JUNCTION OF LYAPUNOV - KRASOVSKII AND RAZUMIKHIN APPROACHES

IF 0.3 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2022-01-01 DOI:10.21638/11701/spbu10.2022.201

S. Kuptsova, S. Y. Kuptsov

引用次数: 0

Abstract

The nonlinear time-delay systems are considered and the limiting Behavior of their solutions is investigated. The case in which the solutions have a trivial equilibrium that may not be an invariant set of the system is studied. The junction of Lyapunov - Krasovskii and Razumikhin approaches is applied to obtain sufficient conditions for the existence of an asymptotic quiescent position in the large. In the case when a general system has a trivial solution, new sufficient conditions for its asymptotic stability are obtained. Examples, that illustrate the application of the obtained results, are given.

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用lyapunov - krasovskii和razumikhin方法的结合研究时滞系统的渐近平衡

考虑非线性时滞系统，研究其解的极限行为。研究了解有一个平凡的平衡点，它可能不是系统的不变集的情况。利用Lyapunov - Krasovskii和Razumikhin方法的结合点，得到了在大空间中存在渐近静止位置的充分条件。对于一般系统有平凡解的情况，给出了其渐近稳定的新的充分条件。举例说明了所得结果的应用。

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

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.30

自引率

50.00%

发文量

期刊介绍： The journal is the prime outlet for the findings of scientists from the Faculty of applied mathematics and control processes of St. Petersburg State University. It publishes original contributions in all areas of applied mathematics, computer science and control. Vestnik St. Petersburg University: Applied Mathematics. Computer Science. Control Processes features articles that cover the major areas of applied mathematics, computer science and control.