000 02925nam a22004695i 4500
001 978-1-4471-4234-8
003 DE-He213
005 20200421112036.0
007 cr nn 008mamaa
008 120721s2013 xxk| s |||| 0|eng d
020 _a9781447142348
_9978-1-4471-4234-8
024 7 _a10.1007/978-1-4471-4234-8
_2doi
050 4 _aTJ212-225
072 7 _aTJFM
_2bicssc
072 7 _aTEC004000
_2bisacsh
082 0 4 _a629.8
_223
100 1 _aAltshuller, Dmitry.
_eauthor.
245 1 0 _aFrequency Domain Criteria for Absolute Stability
_h[electronic resource] :
_bA Delay-integral-quadratic Constraints Approach /
_cby Dmitry Altshuller.
264 1 _aLondon :
_bSpringer London :
_bImprint: Springer,
_c2013.
300 _aX, 142 p. 13 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Control and Information Sciences,
_x0170-8643 ;
_v432
505 0 _aA Historical Survey -- Foundations -- Stability Multipliers -- Time-periodic Systems.
520 _aFrequency Domain Criteria for Absolute Stability focuses on recently-developed methods of delay-integral-quadratic constraints to provide criteria for absolute stability of nonlinear control systems. The known or assumed properties of the system are the basis from which stability criteria are developed. Through these methods, many classical results are naturally extended, particularly to time-periodic but also to nonstationary systems. Mathematical prerequisites including Lebesgue-Stieltjes measures and integration are first explained in an informal style with technically more difficult proofs presented in separate sections that can be omitted without loss of continuity. The results are presented in the frequency domain - the form in which they naturally tend to arise. In some cases, the frequency-domain criteria can be converted into computationally tractable linear matrix inequalities but in others, especially those with a certain geometric interpretation, inferences concerning stability can be made directly from the frequency-domain inequalities. The book is intended for applied mathematicians and control systems theorists. It can also be of considerable use to mathematically-minded engineers working with nonlinear systems.
650 0 _aEngineering.
650 0 _aSystem theory.
650 0 _aControl engineering.
650 1 4 _aEngineering.
650 2 4 _aControl.
650 2 4 _aSystems Theory, Control.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781447142331
830 0 _aLecture Notes in Control and Information Sciences,
_x0170-8643 ;
_v432
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4471-4234-8
912 _aZDB-2-ENG
942 _cEBK
999 _c56370
_d56370