03441nam a22005175i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118041000800153050001400161072001700175072002300192082001400215100003700229245011300266260006700379264006700446300004300513336002600556337002600582338003600608347002400644490002400668505031900692520140401011650001702415650003802432650001702470650002002487650002902507650001702536650001302553650002902566650004202595650003202637650005902669650003302728710003402761773002002795776003602815830002402851856004802875978-0-8176-8367-2DE-He21320141014113434.0cr nn 008mamaa120918s2013 xxu| s |||| 0|eng d a97808176836727 a10.1007/978-0-8176-8367-22doi aeng 4aTJ212-225 7aTJFM2bicssc 7aTEC0040002bisacsh04a629.82231 aKharitonov, Vladimir L.eauthor.10aTime-Delay Systemsh[electronic resource] :bLyapunov Functionals and Matrices /cby Vladimir L. Kharitonov. 1aBoston :bBirkhäuser Boston :bImprint: Birkhäuser,c2013. 1aBoston :bBirkhäuser Boston :bImprint: Birkhäuser,c2013. aXVI, 311 p. 4 illus.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aControl Engineering0 aPreface.- 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. aStability 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. 0aEngineering. 0aDifferentiable dynamical systems. 0aMathematics. 0aSystems theory. 0aEngineering mathematics.14aEngineering.24aControl.24aSystems Theory, Control.24aDynamical Systems and Ergodic Theory.24aComputational Intelligence.24aAppl.Mathematics/Computational Methods of Engineering.24aApplications of Mathematics.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780817683665 0aControl Engineering40uhttp://dx.doi.org/10.1007/978-0-8176-8367-2