Finite time stability of neutral multiterm fractional order time-varying delay systems

IF 2.6 2区 数学 Q1 MATHEMATICS, APPLIED Journal of Computational and Applied Mathematics Pub Date : 2024-12-26 DOI:10.1016/j.cam.2024.116459
K. Kaliraj , P.K. Lakshmi Priya , V. Tamilarasan , S. Suresh
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引用次数: 0

Abstract

In this paper, the finite-time stability of neutral multi-term fractional order system of non-linear type with time-varying input and state delays is investigated. Using the effectiveness of Banach fixed point theorem for generalized metric spaces, new sufficient conditions for finite-time stability of the considered system has been identified. Finally, numerical examples are given to get a better understanding of the theoretical results.
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中立型多项分数阶时变时滞系统的有限时间稳定性
研究了具有时变输入和状态时滞的非线性中立型多项分数阶系统的有限时间稳定性问题。利用Banach不动点定理在广义度量空间中的有效性,得到了系统有限时间稳定性的新充分条件。最后给出了数值算例,以便更好地理解理论结果。
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来源期刊
CiteScore
5.40
自引率
4.20%
发文量
437
审稿时长
3.0 months
期刊介绍: The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.
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