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State Dependent Impulses


State Dependent Impulses
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State Dependent Impulses


State Dependent Impulses
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Author : Irena Rachůnková
language : en
Publisher: Springer
Release Date : 2015-09-29

State Dependent Impulses written by Irena Rachůnková and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-29 with Mathematics categories.


This book offers the reader a new approach to the solvability of boundary value problems with state-dependent impulses and provides recently obtained existence results for state dependent impulsive problems with general linear boundary conditions. It covers fixed-time impulsive boundary value problems both regular and singular and deals with higher order differential equations or with systems that are subject to general linear boundary conditions. We treat state-dependent impulsive boundary value problems, including a new approach giving effective conditions for the solvability of the Dirichlet problem with one state-dependent impulse condition and we show that the depicted approach can be extended to problems with a finite number of state-dependent impulses. We investigate the Sturm–Liouville boundary value problem for a more general right-hand side of a differential equation. Finally, we offer generalizations to higher order differential equations or differential systems subject to general linear boundary conditions.



State Dependent Impulses


State Dependent Impulses
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Author : Irena Rachunková
language : en
Publisher:
Release Date : 2015

State Dependent Impulses written by Irena Rachunková and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.




Impulsive Systems With Delays


Impulsive Systems With Delays
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Author : Xiaodi Li
language : en
Publisher: Springer Nature
Release Date : 2021-10-15

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.



Reset Control Systems


Reset Control Systems
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Author : Alfonso Baños
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-14

Reset Control Systems written by Alfonso Baños and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-14 with Technology & Engineering categories.


Reset Control Systems addresses the analysis for reset control treating both its basic form, and some useful variations of the reset action and reset condition. The issues regarding reset control – concepts and motivation; analysis tools; and the application of design methodologies to real-world examples – are given thorough coverage. The text opens with a historical perspective which moves from the seminal work of the Clegg integrator and Horowitz FORE to more recent approaches based on impulsive/hybrid control systems and explains the motivation for reset compensation. Preliminary material is also included. The focus then turns to stability analysis for systems using techniques which account for various time- and frequency-domain criteria. The final section of the book is centered on control systems design and application. The PI+CI compensator is detailed as are a proposed frequency domain approach using quantitative feedback theory and ideas for design improvement. Design examples are given.



Proceedings Of The Conference On Differential Difference Equations And Applications


Proceedings Of The Conference On Differential Difference Equations And Applications
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Author : Ravi P. Agarwal
language : en
Publisher: Hindawi Publishing Corporation
Release Date : 2006

Proceedings Of The Conference On Differential Difference Equations And Applications written by Ravi P. Agarwal and has been published by Hindawi Publishing Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Difference equations categories.




Recent Advances In Control Problems Of Dynamical Systems And Networks


Recent Advances In Control Problems Of Dynamical Systems And Networks
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Author : Ju H. Park
language : en
Publisher: Springer Nature
Release Date : 2020-08-11

Recent Advances In Control Problems Of Dynamical Systems And Networks written by Ju H. Park and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-11 with Technology & Engineering categories.


This edited book introduces readers to new analytical techniques and controller design schemes used to solve the emerging “hottest” problems in dynamic control systems and networks. In recent years, the study of dynamic systems and networks has faced major changes and challenges with the rapid advancement of IT technology, accompanied by the 4th Industrial Revolution. Many new factors that now have to be considered, and which haven’t been addressed from control engineering perspectives to date, are naturally emerging as the systems become more complex and networked. The general scope of this book includes the modeling of the system itself and uncertainty elements, examining stability under various criteria, and controller design techniques to achieve specific control objectives in various dynamic systems and networks. In terms of traditional stability matters, this includes the following special issues: finite-time stability and stabilization, consensus/synchronization, fault-tolerant control, event-triggered control, and sampled-data control for classical linear/nonlinear systems, interconnected systems, fractional-order systems, switched systems, neural networks, and complex networks. In terms of introducing graduate students and professional researchers studying control engineering and applied mathematics to the latest research trends in the areas mentioned above, this book offers an excellent guide.



Dynamics Of Continuous Discrete Impulsive Systems


Dynamics Of Continuous Discrete Impulsive Systems
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Author :
language : en
Publisher:
Release Date : 2009

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.




Mathematical Reviews


Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2008

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 2008 with Mathematics categories.




Stability And Boundedness Of Impulsive Systems With Time Delay


Stability And Boundedness Of Impulsive Systems With Time Delay
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Author : Qing Wang
language : en
Publisher:
Release Date : 2007

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.



Official Gazette Of The United States Patent Office


Official Gazette Of The United States Patent Office
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Author : USA Patent Office
language : en
Publisher:
Release Date : 1899

Official Gazette Of The United States Patent Office written by USA Patent Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1899 with categories.