Optimal Control of Stochastic Difference Volterra Equations: An Introduction - Studies in Systems, Decision and Control - Leonid Shaikhet - Knjige - Springer International Publishing AG - 9783319132389 - 9. decembra 2014
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Leonid Shaikhet
Optimal Control of Stochastic Difference Volterra Equations: An Introduction - Studies in Systems, Decision and Control 2015 edition

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This 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.

220 pages, 8 colour illustrations, biography

Medij Knjige     Hardcover Book   (Knjiga s trdim hrbtom in platnicami)
Izdano 9. decembra 2014
ISBN13 9783319132389
Založniki Springer International Publishing AG
Strani 220
Dimenzije 162 × 244 × 21 mm   ·   528 g
Jezik Angleščina  

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