Finite-time contractive stabilization for fractional-order switched systems via event-triggered impulse control

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-06 DOI:10.1016/j.cnsns.2025.108658

P. Gokul , Ardak Kashkynbayev , M. Prakash , Rakkiyappan Rajan

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引用次数: 0

Abstract

This article investigates the issue of finite-time stabilization for fractional-order switched nonlinear system (FOSNS) under the novel framework of mode-dependent event-triggered mechanism (MDETM). Initially, this study effectively addresses Zeno behavior (ZB) avoidance in FOSNS by the MDETM approach. This mechanism operates through the strategy of event-triggered impulsive control (ETIC) and the constraint of mode-specific average dwell time. Following this, we establish finite-time stability (FTS) and finite-time contractive stability (FTCS) for general FOSNS by employing the Lyapunov-based methodology. This approach is employed to analyze situations where the fractional derivatives of Lyapunov functions (LFs) of the modes are indefinite. Furthermore, the criteria of ZB, FTS, and FTCS are validated for application of FOSNS that adheres to the same framework as proposed for general FOSNS. The utilization of linear matrix inequality (LMI) was employed to derive the control gain matrix, ensuring the preservation of the stability property. To conclude, the efficacy of the introduced ETIC strategies is demonstrated through the analysis of two illustrative examples.

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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.