000 | 03972nam a22004935i 4500 | ||
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001 | 978-3-319-13239-6 | ||
003 | DE-He213 | ||
005 | 20200421112046.0 | ||
007 | cr nn 008mamaa | ||
008 | 141126s2015 gw | s |||| 0|eng d | ||
020 |
_a9783319132396 _9978-3-319-13239-6 |
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024 | 7 |
_a10.1007/978-3-319-13239-6 _2doi |
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050 | 4 | _aTJ212-225 | |
072 | 7 |
_aTJFM _2bicssc |
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072 | 7 |
_aTEC004000 _2bisacsh |
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082 | 0 | 4 |
_a629.8 _223 |
100 | 1 |
_aShaikhet, Leonid. _eauthor. |
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245 | 1 | 0 |
_aOptimal Control of Stochastic Difference Volterra Equations _h[electronic resource] : _bAn Introduction / _cby Leonid Shaikhet. |
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2015. |
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300 |
_aX, 220 p. 8 illus. in color. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aStudies in Systems, Decision and Control, _x2198-4182 ; _v17 |
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505 | 0 | _aStochastic Difference Volterra Equations and Some Auxiliary Statements -- Optimal Control -- Successive Approximations to the Optimal Control -- Optimal and Quasioptimal Stabilization -- Optimal Estimation -- Optimal Control of Stochastic Difference Volterra Equations by Incomplete Information. | |
520 | _aThis book showcases a subclass of hereditary systems, that is, systems with behaviour depending not only on their current state but also on their past history; it is an introduction to the mathematical theory of optimal control for stochastic difference Volterra equations of neutral type. As such, it will be of much interest to researchers interested in modelling processes in physics, mechanics, automatic regulation, economics and finance, biology, sociology and medicine for all of which such equations are very popular tools. The text deals with problems of optimal control such as meeting given performance criteria, and stabilization, extending them to neutral stochastic difference Volterra equations. In particular, it contrasts the difference analogues of solutions to optimal control and optimal estimation problems for stochastic integral Volterra equations with optimal solutions for corresponding problems in stochastic difference Volterra equations. Optimal Control of Stochastic Difference Volterra Equations commences with an historical introduction to the emergence of this type of equation with some additional mathematical preliminaries. It then deals with the necessary conditions for optimality in the control of the equations and constructs a feedback control scheme. The approximation of stochastic quasilinear Volterra equations with quadratic performance functionals is then considered. Optimal stabilization is discussed and the filtering problem formulated. Finally, two methods of solving the optimal control problem for partly observable linear stochastic processes, also with quadratic performance functionals, are developed. Integrating the author's own research within the context of the current state-of-the-art of research in difference equations, hereditary systems theory and optimal control, this book is addressed to specialists in mathematical optimal control theory and to graduate students in pure and applied mathematics and control engineering. | ||
650 | 0 | _aEngineering. | |
650 | 0 | _aSystem theory. | |
650 | 0 | _aCalculus of variations. | |
650 | 0 | _aControl engineering. | |
650 | 1 | 4 | _aEngineering. |
650 | 2 | 4 | _aControl. |
650 | 2 | 4 | _aSystems Theory, Control. |
650 | 2 | 4 | _aCalculus of Variations and Optimal Control; Optimization. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783319132389 |
830 | 0 |
_aStudies in Systems, Decision and Control, _x2198-4182 ; _v17 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-319-13239-6 |
912 | _aZDB-2-ENG | ||
942 | _cEBK | ||
999 |
_c56912 _d56912 |