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001 978-1-4614-8663-3
003 DE-He213
005 20140220082832.0
007 cr nn 008mamaa
008 131004s2013 xxu| s |||| 0|eng d
020 _a9781461486633
_9978-1-4614-8663-3
024 7 _a10.1007/978-1-4614-8663-3
_2doi
050 4 _aQ295
050 4 _aQA402.3-402.37
072 7 _aGPFC
_2bicssc
072 7 _aSCI064000
_2bisacsh
072 7 _aTEC004000
_2bisacsh
082 0 4 _a519
_223
100 1 _aDragan, Vasile.
_eauthor.
245 1 0 _aMathematical Methods in Robust Control of Linear Stochastic Systems
_h[electronic resource] /
_cby Vasile Dragan, Toader Morozan, Adrian-Mihail Stoica.
250 _a2nd ed. 2013.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aXV, 442 p. 10 illus., 8 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPreliminaries to Probability Theory and Stochastic Differential Equations -- Linear Differential Equations with Positive Evolution on Ordered Banach Spaces -- Exponential Stability in Mean Square -- Structural Properties of Linear Stochastic Systems -- A Class of Nonlinear Differential Equations on an Ordered Linear Space of Symmetric Matrices with Applications to Riccati Differential Equations of Stochastic Control -- Linear Quadratic Optimization Problems for Linear Stochastic Systems -- Stochastic H2 Optimal Control -- Stochastic Version of the Bounded Real Lemma and Applications -- Robust Stabilization of Linear Stochastic Systems.
520 _aThis second edition of Mathematical Methods in the Robust Control of Linear Stochastic Systems includes a large number of recent results in the control of linear stochastic systems. More specifically, the new results presented are:  - A unified and abstract framework for Riccati type equations arising in the stochastic control - Stability and control problems for systems perturbed by homogeneous Markov processes with infinite number of states - Mixed H2 / H∞ control problem and numerical procedures - Linear differential equations with positive evolution on ordered Banach spaces with applications for stochastic systems including both multiplicative white noise and Markovian jumps represented by a Markov chain with countable infinite set of states -  Kalman filtering for stochastic systems subject both to state dependent noise and Markovian jumps -  H∞ reduced order filters for stochastic systems  The book will appeal to graduate students, researchers in advanced control engineering, finance, mathematical systems theory, applied probability and stochastic processes, and numerical analysis. From Reviews of the First Edition:  This book is concerned with robust control of stochastic systems. One of the main features is its coverage of jump Markovian systems. … Overall, this book presents results taking into consideration both white noise and Markov chain perturbations. It is clearly written and should be useful for people working in applied mathematics and in control and systems theory. The references cited provide further reading sources.  (George Yin, Mathematical Reviews, Issue 2007 m) This book considers linear time varying stochastic systems, subjected to white noise disturbances and system parameter Markovian jumping, in the context of optimal control … robust stabilization, and disturbance attenuation. … The material presented in the book is organized in seven chapters. … The book is very well written and organized. … is a valuable reference for all researchers and graduate students in applied mathematics and control engineering interested in linear stochastic time varying control systems with Markovian parameter jumping and white noise disturbances. (Zoran Gajic, SIAM Review, Vol. 49 (3), 2007)
650 0 _aMathematics.
650 0 _aSystems theory.
650 0 _aDistribution (Probability theory).
650 1 4 _aMathematics.
650 2 4 _aSystems Theory, Control.
650 2 4 _aProbability Theory and Stochastic Processes.
700 1 _aMorozan, Toader.
_eauthor.
700 1 _aStoica, Adrian-Mihail.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461486626
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-8663-3
912 _aZDB-2-SMA
999 _c96077
_d96077