LEADER 03246nam 2200637 a 450 001 9910438056503321 005 20200520144314.0 010 $a1-283-62170-3 010 $a9786613934154 010 $a0-8176-8367-4 024 7 $a10.1007/978-0-8176-8367-2 035 $a(CKB)2670000000242643 035 $a(EBL)1030322 035 $a(OCoLC)811619675 035 $a(SSID)ssj0000767214 035 $a(PQKBManifestationID)11442135 035 $a(PQKBTitleCode)TC0000767214 035 $a(PQKBWorkID)10741333 035 $a(PQKB)11454675 035 $a(DE-He213)978-0-8176-8367-2 035 $a(MiAaPQ)EBC1030322 035 $a(PPN)168288648 035 $a(EXLCZ)992670000000242643 100 $a20120802d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aTime-delay systems $eLyapunov functionals and matrices /$fVladimir L. Kharitonov 205 $a1st ed. 2013. 210 $a[New York] $cBirkhauser$dc2013 215 $a1 online resource (323 p.) 225 1 $aControl engineering 300 $aDescription based upon print version of record. 311 $a0-8176-8366-6 320 $aIncludes bibliographical references and index. 327 $apt. 1. Retarded type systems -- pt. 2. Neutral type systems. 330 $aStability is one of the most studied issues in the theory of time-delay systems, but the corresponding chapters of published volumes on time-delay systems do not include a comprehensive study of a counterpart of classical Lyapunov theory for linear delay free systems. The principal goal of the book is to fill this gap, and to provide readers with a systematic and exhaustive treatment of the basic concepts of the Lyapunov-Krasovskii approach to the stability analysis of linear time-delay systems. The book is organized into two parts. The first part is dedicated to the case of retarded type time-delay systems; it consists of four chapters, which respectively deal with results concerning the existence and uniqueness of the solutions of an initial value problem, the class of linear systems with one delay, the case of systems with several delays, and the case of systems with distributed delays. The second part of the book studies the case of neutral type time-delay systems, containing three chapters that extend the results presented earlier in the book to neutral time-delay systems and treating special classes of linear time-delay systems.  Time-Delay Systems: Lyapunov Functionals and Matrices will be of great use and interest to researchers and graduate students in automatic control and applied mathematics as well as practicing engineers involved in control system design. 410 0$aControl engineering (Birkhauser) 606 $aTime delay systems 606 $aLyapunov functions 606 $aMatrices 615 0$aTime delay systems. 615 0$aLyapunov functions. 615 0$aMatrices. 676 $a629.8 676 $a629.83 700 $aKharitonov$b Vladimir L$01752065 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438056503321 996 $aTime-delay systems$94187280 997 $aUNINA