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1. |
Record Nr. |
UNINA9910299677503321 |
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Autore |
Shaikhet Leonid |
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Titolo |
Optimal Control of Stochastic Difference Volterra Equations : An Introduction / / by Leonid Shaikhet |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
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ISBN |
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Edizione |
[1st ed. 2015.] |
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Descrizione fisica |
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1 online resource (224 p.) |
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Collana |
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Studies in Systems, Decision and Control, , 2198-4182 ; ; 17 |
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Disciplina |
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Soggetti |
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Control engineering |
System theory |
Calculus of variations |
Control and Systems Theory |
Systems Theory, Control |
Calculus of Variations and Optimal Control; Optimization |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Stochastic 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. |
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Sommario/riassunto |
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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 |
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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. |
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2. |
Record Nr. |
UNINA9910346854603321 |
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Autore |
Portillo María P |
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Titolo |
Benefits of Resveratrol Supplementation / María P. Portillo, Alfredo Fernandez-Quintela |
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Pubbl/distr/stampa |
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Basel, Switzerland : , : MDPI, , 2019 |
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ISBN |
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Descrizione fisica |
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1 electronic resource (260 p.) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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In recent years, great attention has been paid to polyphenols due to their positive effects on health. One of the most widely-studied phenolic compounds is resveratrol. This molecule, which is naturally present in some foods, shows beneficial effects on various physiological and biochemical processes, thus representing a potential tool for the prevention or the treatment of diseases highly prevalent in our society. Several of these beneficial effects have been observed in human beings, but others only in pre-clinical studies so far, and therefore, it is mandatory to continue with the scientific research in this field. Indeed, new knowledge concerning these issues could enable the development of novel functional foods or nutraceuticals, incorporating resveratrol, suitable for preventing or treating diseases such as cancer, cardiovascular diseases, obesity, dislipemia, insulin resistance and diabetes, liver diseases, etc. |
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