Riemann-Liouville意义下线性分数阶微分方程系统的两步可控性

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-20 DOI:10.1016/j.cnsns.2025.108849

José Villa-Morales

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引用次数: 0

摘要

本文给出了一类线性微分方程组在Riemann-Liouville意义下渐近稳定的充分条件。此外，我们引入了两步可控性的概念，并证明了相同的渐近稳定条件足以保证系统在该框架内的可控性。

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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Two-step controllability of linear fractional differential equation systems in the Riemann–Liouville sense

In this paper, we present sufficient conditions to guarantee the asymptotic stability of a system of linear differential equations in the Riemann–Liouville sense. Additionally, we introduce the concept of two-step controllability and demonstrate that the same conditions for asymptotic stability are sufficient to ensure the controllability of the system within this framework.

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.