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Titlebook: Impulsive Systems on Hybrid Time Domains; Xinzhi Liu,Kexue Zhang Book 2019 Springer Nature Switzerland AG 2019 impulsive systems.time scal

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发表于 2025-3-21 17:47:22 | 显示全部楼层 |阅读模式
书目名称Impulsive Systems on Hybrid Time Domains
编辑Xinzhi Liu,Kexue Zhang
视频video
概述Discusses the most recent developments in the theory and applications of various impulsive systems.Provides reader with fundamentals of differential and difference equations and theory of time scales.
丛书名称IFSR International Series in Systems Science and Systems Engineering
图书封面Titlebook: Impulsive Systems on Hybrid Time Domains;  Xinzhi Liu,Kexue Zhang Book 2019 Springer Nature Switzerland AG 2019 impulsive systems.time scal
描述This monograph discusses the issues of stability and the control of impulsive systems on hybrid time domains, with systems presented on discrete-time domains, continuous-time domains, and hybrid-time domains (time scales). Research on impulsive systems has recently attracted increased interest around the globe, and significant progress has been made in the theory and application of these systems. This book introduces recent developments in impulsive systems and fundamentals of various types of differential and difference equations. It also covers studies in stability related to time delays and other various control applications on the different impulsive systems. In addition to the analyses presented on dynamical systems that are with or without delays or impulses, this book concludes with possible future directions pertaining to this research..
出版日期Book 2019
关键词impulsive systems; time scales; time-delay; stability; synchornization; Lyapunov function; Krasocskii-Lyap
版次1
doihttps://doi.org/10.1007/978-3-030-06212-5
isbn_ebook978-3-030-06212-5Series ISSN 1574-0463 Series E-ISSN 2698-5497
issn_series 1574-0463
copyrightSpringer Nature Switzerland AG 2019
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发表于 2025-3-21 22:30:34 | 显示全部楼层
Control Problems on Time Scalesented to achieve synchronization of DNs on time scales with the state of an isolated node. Based on the theory of time scales and the direct Lyapunov method, a synchronization criterion is established for linear DNs on general time scales. Numerical simulations are given to illustrate the effectiveness of the theoretical analysis.
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Exponential Stability of Impulsive Time-Delay Systems on Time Scalesunov-Razumikhin technique. Exponential stability is studied in Section 9.3 by the method of Lyapunov functionals. Stability results presented in this chapter extend and generalize the results introduced in Chapter . for discrete-time impulsive systems with time-delay to impulsive time-delay systems on hybrid time domains.
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