扰动脉冲系统规定时间稳定性的类李雅普诺夫条件

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2024-11-19 DOI:10.1016/j.amc.2024.129187

Arnab Mapui, Santwana Mukhopadhyay

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引用次数: 0

摘要

本研究涉及由外部扰动组成的非线性脉冲系统的规定时间控制问题。针对消失和非消失扰动，分别提供了规定时间和实际规定时间稳定性的类似 Lyapunov 的充分条件。根据用户的要求，在这方面构建了一些稳定脉冲序列。研究表明，由消失型扰动组成的系统可以在原点达到规定时间稳定。另一方面，在非消失型扰动（可以由有界或无界扰动组成）的情况下，系统轨迹只能在规定时间内进入稳定区域。此外，稳定区域与脉冲强度和规定时间无关。通过各种实例及其数值模拟，证明了所提结果的有效性。

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Lyapunov-like conditions for prescribed-time stability of perturbed impulsive systems

The present work deals with the problem of prescribed-time control of non-linear impulsive systems consisting of external perturbations. Lyapunov-like sufficient conditions for prescribed-time and practical prescribed-time stability are provided for vanishing and non-vanishing perturbations, respectively. Depending on the user's requirements, some sequences of stabilizing impulses are constructed in this regard. It is shown that the systems consisting of vanishing-type disturbances can attain prescribed-time stabilization at the origin. On the other hand, in the presence of non-vanishing disturbances, which can consist of bounded or unbounded disturbances, the trajectories of the system can enter a stable region only within the prescribed time. Moreover, the stable region is independent of the impulsive strength and the prescribed-time. The efficacy of the proposed results is provided through various examples and their numerical simulations.

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.