LEADER 04871nam 22008415 450 001 9910438056503321 005 20200701010454.0 010 $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 $a20120918d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aTime-Delay Systems$b[electronic resource] $eLyapunov Functionals and Matrices /$fby Vladimir Kharitonov 205 $a1st ed. 2013. 210 1$aBoston, MA :$cBirkhäuser Boston :$cImprint: Birkhäuser,$d2013. 215 $a1 online resource (323 p.) 225 1 $aControl Engineering,$x2373-7719 300 $aDescription based upon print version of record. 311 $a0-8176-8366-6 320 $aIncludes bibliographical references and index. 327 $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. 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,$x2373-7719 606 $aControl engineering 606 $aSystem theory 606 $aDynamics 606 $aErgodic theory 606 $aComputational intelligence 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aComputational Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/T11014 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 615 0$aControl engineering. 615 0$aSystem theory. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aComputational intelligence. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 14$aControl and Systems Theory. 615 24$aSystems Theory, Control. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aComputational Intelligence. 615 24$aMathematical and Computational Engineering. 615 24$aApplications of Mathematics. 676 $a629.8 676 $a629.83 700 $aKharitonov$b Vladimir$4aut$4http://id.loc.gov/vocabulary/relators/aut$01060087 906 $aBOOK 912 $a9910438056503321 996 $aTime-Delay Systems$92510982 997 $aUNINA