Event-triggered output feedback stabilization of Boolean control networks via Ledley solution

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-25 DOI:10.1016/j.cnsns.2025.108710

Anna Feng , Jie Zhong , Amol Yerudkar , Hongwei Chen , Jiahao Wu

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引用次数: 0

Abstract

This paper delves into the stabilization of Boolean control networks (BCNs) through leveraging ideas from event-triggered output feedback control and the Ledley antecedence solution methodology. Initially, one necessary and sufficient criterion is proposed to examine the stabilization of BCNs via the reachable sets established by Ledley antecedence solution. Subsequently, based on the reachable set and Ledley antecedence solution, the output control sets are established to construct the output feedback control, along with a strategy for designing the corresponding output feedback matrix. Additionally, a sufficient condition to ensure output feedback stabilization employing an event-triggered mechanism is derived, and an algorithm for formulating event-triggered output feedback control is outlined. Finally, to demonstrate the efficacy of this approach proposed in this paper, simulations are conducted to validate the effectiveness of the obtained main results.

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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.