Impulsive Systems With Delays

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Impulsive Systems With Delays

Impulsive Systems With Delays written by Xiaodi Li and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-15 with Technology & Engineering categories.

This book systematically presents the most recent progress in stability and control of impulsive systems with delays. Impulsive systems have recently attracted continued high research interests because they provide a natural framework for mathematical modeling of many real-world processes. It focuses not only on impulsive delayed systems, but also impulsive systems with delayed impulses and impulsive systems with event-triggered mechanism, including their Lyapunov stability, finite-time stability and input-to-state stability synthesis. Special attention is paid to the bilateral effects of the delayed impulses, where comprehensive stability properties are discussed in the framework of time-dependent and state-dependent delays. New original work with event-triggered impulsive control and its applications in multi-agent systems and collective dynamics are also provided. This book will be of use to specialists who are interested in the theory of impulsive differential equations and impulsive control theory, as well as high technology specialists who work in the fields of complex networks and applied mathematics. Also, instructors teaching graduate courses and graduate students will find this book a valuable source of nonlinear system theory.

Impulsive Systems On Hybrid Time Domains

Impulsive Systems On Hybrid Time Domains written by Xinzhi Liu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-29 with Mathematics categories.

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.

Dynamics Of Continuous Discrete Impulsive Systems

Dynamics Of Continuous Discrete Impulsive Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Control theory categories.

Dynamics Of Continuous Discrete And Impulsive Systems

Dynamics Of Continuous Discrete And Impulsive Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Control theory categories.

Stability And Boundedness Of Impulsive Systems With Time Delay

Stability And Boundedness Of Impulsive Systems With Time Delay written by Qing Wang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.

The stability and boundedness theories are developed for impulsive differential equations with time delay. Definitions, notations and fundamental theory are presented for delay differential systems with both fixed and state-dependent impulses. It is usually more difficult to investigate the qualitative properties of systems with state-dependent impulses since different solutions have different moments of impulses. In this thesis, the stability problems of nontrivial solutions of systems with state-dependent impulses are ``transferred" to those of the trivial solution of systems with fixed impulses by constructing the so-called ``reduced system". Therefore, it is enough to investigate the stability problems of systems with fixed impulses. The exponential stability problem is then discussed for the system with fixed impulses. A variety of stability criteria are obtained and`numerical examples are worked out to illustrate the results, which shows that impulses do contribute to the stabilization of some delay differential equations. To unify various stability concepts and to offer a general framework for the investigation of stability theory, the concept of stability in terms of two measures is introduced and then several stability criteria are developed for impulsive delay differential equations by both the single and multiple Lyapunov functions method. Furthermore, boundedness and periodicity results are discussed for impulsive differential systems with time delay. The Lyapunov-Razumikhin technique, the Lyapunov functional method, differential inequalities, the method of variation of parameters, and the partitioned matrix method are the main tools to obtain these results. Finally, the application of the stability theory to neural networks is presented. In applications, the impulses are considered as either means of impulsive control or perturbations. Sufficient conditions for stability and stabilization of neural networks are obtained.

Dynamic Systems And Applications

Dynamic Systems And Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Differentiable dynamical systems categories.

Periodic Solutions And Stability Of Linear Impulsive Delay Differential Equations

Periodic Solutions And Stability Of Linear Impulsive Delay Differential Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.

In this thesis, we investigate impulsive differential systems with delays of the form And more generally of the form The dissertation consists of five chapters. The first chapter serves as introduction, contains preliminary considerations and assertions that will be encountered in the sequel. In chapter 2, we construct the adjoint systems and obtain the variation of parameters formulas of the solutions in terms of fundamental matrices. The asymptotic behavior of solutions of systems satisfying the Perron condition is investigated in chapter 3. In chapter4, we give a result that characterizes the behavior of solutions in the case there is a bounded solution. Moreover, a necessary and sufficient condition for the existence of periodic solutions is obtained. In the last chapter, a series of consequences on the existence of periodic solutions of functionally equivlent impulsive systems with delays is established.

Mathematical Reviews

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

Differential Equations And Dynamical Systems

Differential Equations And Dynamical Systems written by David Siegel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Differentiable dynamical systems categories.

Advanced Research On Material Science Environmental Science And Computer Science

Advanced Research On Material Science Environmental Science And Computer Science written by Helen Zhang and has been published by Trans Tech Publications Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-16 with Technology & Engineering categories.

Selected, peer reviewed papers from the 2011 International Conference on Material Science, Environmental Science and Computer Science (MSESCS 2011), September 24-25, 2011, Guangzhou, China