000 03687nam a22005775i 4500
001 978-0-8176-8367-2
003 DE-He213
005 20200420220215.0
007 cr nn 008mamaa
008 120918s2013 xxu| s |||| 0|eng d
020 _a9780817683672
_9978-0-8176-8367-2
024 7 _a10.1007/978-0-8176-8367-2
_2doi
050 4 _aTJ212-225
072 7 _aTJFM
_2bicssc
072 7 _aTEC004000
_2bisacsh
082 0 4 _a629.8
_223
100 1 _aKharitonov, Vladimir L.
_eauthor.
245 1 0 _aTime-Delay Systems
_h[electronic resource] :
_bLyapunov Functionals and Matrices /
_cby Vladimir L. Kharitonov.
264 1 _aBoston :
_bBirkh�auser Boston :
_bImprint: Birkh�auser,
_c2013.
300 _aXVI, 311 p. 4 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aControl Engineering
505 0 _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.
520 _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.
650 0 _aEngineering.
650 0 _aDynamics.
650 0 _aErgodic theory.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 0 _aSystem theory.
650 0 _aComputational intelligence.
650 0 _aControl engineering.
650 1 4 _aEngineering.
650 2 4 _aControl.
650 2 4 _aSystems Theory, Control.
650 2 4 _aDynamical Systems and Ergodic Theory.
650 2 4 _aComputational Intelligence.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
650 2 4 _aApplications of Mathematics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817683665
830 0 _aControl Engineering
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-8367-2
912 _aZDB-2-ENG
942 _cEBK
999 _c51541
_d51541