Differential Inclusions and Optimal Control, Michal Kisielewicz
Автор: Yong Zhou Название: Fractional Evolution Equations and Inclusions ISBN: 012804277X ISBN-13(EAN): 9780128042779 Издательство: Elsevier Science Рейтинг: Цена: 11620.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Fractional evolution inclusions are an important form of differential inclusions within nonlinear mathematical analysis. They are generalizations of the much more widely developed fractional evolution equations (such as time-fractional diffusion equations) seen through the lens of multivariate analysis. Compared to fractional evolution equations, research on the theory of fractional differential inclusions is however only in its initial stage of development.
This is important because differential models with the fractional derivative providing an excellent instrument for the description of memory and hereditary properties, and have recently been proved valuable tools in the modeling of many physical phenomena.
The fractional order models of real systems are always more adequate than the classical integer order models, since the description of some systems is more accurate when the fractional derivative is used. The advantages of fractional derivatization become evident in modeling mechanical and electrical properties of real materials, description of rheological properties of rocks and in various other fields. Such models are interesting for engineers and physicists as well as so-called pure mathematicians.
Phenomena investigated in hybrid systems with dry friction, processes of controlled heat transfer, obstacle problems and others can be described with the help of various differential inclusions, both linear and nonlinear.
Fractional Evolution Equations and Inclusions is devoted to a rapidly developing area of the research for fractional evolution equations & inclusions and their applications to control theory. It studies Cauchy problems for fractional evolution equations, and fractional evolution inclusions with Hille-Yosida operators. It discusses control problems for systems governed by fractional evolution equations. Finally it provides an investigation of fractional stochastic evolution inclusions in Hilbert spaces.
Описание: This volume focuses on optimization and control of processes governed by partial differential equations. It is organized in sections which cover almost the entire spectrum of modern research in this emerging field.
Автор: F.H. Clarke; Gert Sabidussi; R.J. Stern Название: Nonlinear Analysis, Differential Equations and Control ISBN: 0792356659 ISBN-13(EAN): 9780792356653 Издательство: Springer Рейтинг: Цена: 44861.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text summarizes the latest developments, both applied and theoretical, in nonlinear and nonsmooth mathematics. The topics range from the highly theoretical, such as infinitesimal nonsmooth calculus, to the very applied, such as stabilization techniques in control systems.
Автор: F.H. Clarke; Gert Sabidussi; R.J. Stern Название: Nonlinear Analysis, Differential Equations and Control ISBN: 0792356667 ISBN-13(EAN): 9780792356660 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Summarizes developments - both applied and theoretical - in nonlinear and nonsmooth mathematics. This book is intended for first-year graduates and workers in allied fields who require an introduction to nonlinear theory, especially those working on control theory and optimization.
Автор: A. Halanay; J. Samuel Название: Differential Equations, Discrete Systems and Control ISBN: 904814888X ISBN-13(EAN): 9789048148882 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In t.lw fHll of ) )2, Professor Dr. M. Alt.ar, chairman of tIw newly established dppartnwnt or Managenwnt. wit.h Comput.er Science at thp Homanian -American Univprsity in Bucharest (a private univprsil.y), inl.roducod in t.he curriculum a course on DiffenHltial Equations and Optimal Cont.rol, asking lIS to teach such course. It was an inter8sting challengo, since for t.Iw first tim8 wo had to t8ach such mathemaLical course for st.udents with economic background and interosts. It was a natural idea to sl.m't by looking at pconomic models which were described by differpntial equations and for which problems in (\pcision making dir ariso. Since many or such models were r escribed in discret.e timp, wp elec led to elpvolop in parallel t.he theory of differential equations anel thaI, of discrete-timo systpms aur also control theory in continuous and discrete time. Tlw jll'eSPl book is t.he result of our tpaehing px wripnce wit.h this courge. It is an enlarg d version of t.he actllal lectuf( s where, depending on t.he background of tho St.lI(\('Ilts, not all proofs could be given in detail. We would like to express our grat.itude to tlw Board of the Romanian - American University, personally 1.0 the Rector, Professor Dr. Ion Smedpscu, for support, encouragement and readinpss to accept advancnd ideas in tho curriculum. fhe authors express t.heir warmest thanks 1.0 Mrs. Monica Stan . Necula for tho oxcellent procC'ssing of t.he manuscript.
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