{"title":"延迟混沌鲁尔系统的可变增益间歇稳定和同步化","authors":"Yili Wang , Wu-Hua Chen , Xiaomei Lu","doi":"10.1016/j.cnsns.2024.108353","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, a variable gain intermittent control strategy for stabilization and synchronization of chaotic Lur’e systems with time-varying delay is proposed. In contrast to the conventional constant gain intermittent control strategies, the proposed intermittent control strategy allows the control gain to vary with the operation duration of the intermittent controller. The construction of variable control gains is based on a partition scheme on the time-varying working intervals. In order to align with the structure of the variable intermittent control gain function, a pair of partition-dependent piecewise Lyapunov functions are introduced. Two distinct Razumikhin-type analysis techniques, one for the working intervals and the other for the resting intervals, are employed to derive novel criteria for intermittent stabilization and synchronization. The desired intermittent control/synchronization gain functions can be obtained by solving a convex minimization problem, which is capable of minimizing the control width under specified constraints on the gain norm. The numerical results demonstrate that, in comparison with the conventional constant gain strategies, the proposed variable gain intermittent control strategy is capable of efficiently reducing the intermittent control rate.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4000,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Variable gain intermittent stabilization and synchronization for delayed chaotic Lur’e systems\",\"authors\":\"Yili Wang , Wu-Hua Chen , Xiaomei Lu\",\"doi\":\"10.1016/j.cnsns.2024.108353\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this paper, a variable gain intermittent control strategy for stabilization and synchronization of chaotic Lur’e systems with time-varying delay is proposed. In contrast to the conventional constant gain intermittent control strategies, the proposed intermittent control strategy allows the control gain to vary with the operation duration of the intermittent controller. The construction of variable control gains is based on a partition scheme on the time-varying working intervals. In order to align with the structure of the variable intermittent control gain function, a pair of partition-dependent piecewise Lyapunov functions are introduced. Two distinct Razumikhin-type analysis techniques, one for the working intervals and the other for the resting intervals, are employed to derive novel criteria for intermittent stabilization and synchronization. The desired intermittent control/synchronization gain functions can be obtained by solving a convex minimization problem, which is capable of minimizing the control width under specified constraints on the gain norm. The numerical results demonstrate that, in comparison with the conventional constant gain strategies, the proposed variable gain intermittent control strategy is capable of efficiently reducing the intermittent control rate.</div></div>\",\"PeriodicalId\":50658,\"journal\":{\"name\":\"Communications in Nonlinear Science and Numerical Simulation\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.4000,\"publicationDate\":\"2024-09-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Nonlinear Science and Numerical Simulation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1007570424005380\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Nonlinear Science and Numerical Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1007570424005380","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Variable gain intermittent stabilization and synchronization for delayed chaotic Lur’e systems
In this paper, a variable gain intermittent control strategy for stabilization and synchronization of chaotic Lur’e systems with time-varying delay is proposed. In contrast to the conventional constant gain intermittent control strategies, the proposed intermittent control strategy allows the control gain to vary with the operation duration of the intermittent controller. The construction of variable control gains is based on a partition scheme on the time-varying working intervals. In order to align with the structure of the variable intermittent control gain function, a pair of partition-dependent piecewise Lyapunov functions are introduced. Two distinct Razumikhin-type analysis techniques, one for the working intervals and the other for the resting intervals, are employed to derive novel criteria for intermittent stabilization and synchronization. The desired intermittent control/synchronization gain functions can be obtained by solving a convex minimization problem, which is capable of minimizing the control width under specified constraints on the gain norm. The numerical results demonstrate that, in comparison with the conventional constant gain strategies, the proposed variable gain intermittent control strategy is capable of efficiently reducing the intermittent control rate.
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.
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