Time-delay systems : Lyapunov functionals and matrices

Stability is one of the most studied issues in the theory of time-delay systems, but the corresponding chapters of published volumes on time-delay systems do not include a comprehensive study of a counterpart of classical Lyapunov theory for linear delay free systems. The principal goal of the book...

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Détails bibliographiques
Auteur principal: Kharitonov, Vladimir L.
Format: Livre numérique
Langue:Anglais
Publié: Boston, MA : Birkhäuser Boston [20..].
Cham : Springer Nature
Édition:1st ed. 2013.
Collection:Control Engineering
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Accès Université d'Orléans
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Note: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Time-Delay Systems, Lyapunov Functionals and Matrices, Vladimir L. Kharitonov., Boston, Springer, 2013, 1vol. (XVI-311 p.), Control Engineering, 978-0-8176-8366-5
• Time-Delay Systems, Texte imprimé, 9780817683689
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245 1 0 |a Time-delay systems :  |b Lyapunov functionals and matrices   |c by Vladimir L. Kharitonov. 
250 |a 1st ed. 2013. 
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490 0 |a Control Engineering  |x 2373-7727 
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500 |a Archives Springer e-books (Licence nationale) 
505 1 |a Preface.- Notations and Symbols.- Part I: Delay Type Systems 1 General Theory. 2 Single Delay Case.- 3 Multiple Delay Case.- 4 Systems with Distributed Delay.- Part II: Neutral Type Systems.- 5 General Theory.-        6 Linear Systems.- 7 Distributed Delay Case References Subject Index 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a Stability is one of the most studied issues in the theory of time-delay systems, but the corresponding chapters of published volumes on time-delay systems do not include a comprehensive study of a counterpart of classical Lyapunov theory for linear delay free systems. The principal goal of the book is to fill this gap, and to provide readers with a systematic and exhaustive treatment of the basic concepts of the Lyapunov-Krasovskii approach to the stability analysis of linear time-delay systems. The book is organized into two parts. The first part is dedicated to the case of retarded type time-delay systems; it consists of four chapters, which respectively deal with results concerning the existence and uniqueness of the solutions of an initial value problem, the class of linear systems with one delay, the case of systems with several delays, and the case of systems with distributed delays. The second part of the book studies the case of neutral type time-delay systems, containing three chapters that extend the results presented earlier in the book to neutral time-delay systems and treating special classes of linear time-delay systems.  Time-Delay Systems: Lyapunov Functionals and Matrices will be of great use and interest to researchers and graduate students in automatic control and applied mathematics as well as practicing engineers involved in control system design. 
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