时滞线性增加的微分-差分系统的稳定性。2具有右侧加性的系统

IF 0.3 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2023-01-01 DOI:10.21638/11701/spbu10.2023.101

A. Ekimov, A. P. Zhabko, P. Yakovlev

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引用次数: 0

摘要

考虑一类不受控制的右侧具有齐次可加性和线性增长时滞的微分-差分方程系统。对于这类系统的一些特殊情况，已知其渐近稳定的充分条件。给出了具有比例时滞齐次系统渐近稳定性的Razumikhin定理。在无时滞初始系统渐近稳定的基础上，构造了Lyapunov函数，得到了渐近稳定的充分条件。

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The stability of differential-difference systems with linearly increasing delay. II. Systems with additive right side

The article considers an uncontrolled system of differential-difference equations with a homogeneous additive right side and linearly increasing delay. Sufficient conditions for asymptotic stability are known for a number of special cases of such systems. Razumikhin's theorem on the asymptotic stability of homogeneous systems with proportional delay is formulated. Sufficient conditions for asymptotic stability are obtained basing on the asymptotic stability of the initial system without delay and constructing the Lyapunov function.

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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.