000 03697nam a22005655i 4500
001 978-1-4419-0630-4
003 DE-He213
005 20140220084502.0
007 cr nn 008mamaa
008 100301s2010 xxu| s |||| 0|eng d
020 _a9781441906304
_9978-1-4419-0630-4
024 7 _a10.1007/978-1-4419-0630-4
_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 Discrete-Time Linear Stochastic Systems
_h[electronic resource] /
_cby Vasile Dragan, Toader Morozan, Adrian-Mihail Stoica.
250 _aFirst.
264 1 _aNew York, NY :
_bSpringer New York,
_c2010.
300 _bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aElements of probability theory -- Discrete-time linear equations defined by positive operators -- Mean square exponential stability -- Structural properties of linear stochastic systems -- Discrete-time Riccati equations of stochastic control -- Linear quadratic optimization problems -- Discrete-time stochastic optimal control -- Robust stability and robust stabilization of discrete-time linear stochastic systems.
520 _aIn this monograph the authors develop a theory for the robust control of discrete-time stochastic systems, subjected to both independent random perturbations and to Markov chains. Such systems are widely used to provide mathematical models for real processes in fields such as aerospace engineering, communications, manufacturing, finance and economy. The theory is a continuation of the authors’ work presented in their previous book entitled "Mathematical Methods in Robust Control of Linear Stochastic Systems" published by Springer in 2006. Key features: - Provides a common unifying framework for discrete-time stochastic systems corrupted with both independent random perturbations and with Markovian jumps which are usually treated separately in the control literature - Covers preliminary material on probability theory, independent random variables, conditional expectation and Markov chains - Proposes new numerical algorithms to solve coupled matrix algebraic Riccati equations - Leads the reader in a natural way to the original results through a systematic presentation - Presents new theoretical results with detailed numerical examples The monograph is geared to researchers and graduate students in advanced control engineering, applied mathematics, mathematical systems theory and finance. It is also accessible to undergraduate students with a fundamental knowledge in the theory of stochastic systems.
650 0 _aMathematics.
650 0 _aFunctional equations.
650 0 _aSystems theory.
650 0 _aNumerical analysis.
650 0 _aMathematical optimization.
650 0 _aDistribution (Probability theory).
650 1 4 _aMathematics.
650 2 4 _aSystems Theory, Control.
650 2 4 _aOptimization.
650 2 4 _aNumerical Analysis.
650 2 4 _aDifference and Functional Equations.
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:
_z9781441906298
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4419-0630-4
912 _aZDB-2-SMA
999 _c110227
_d110227