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Field name	Details
Dewey Class	519
Title	Optimal Control (EB) / by Richard Vinter.
Author	Vinter, Richard B.
Other name(s)	SpringerLink (Online service)
Publication	Boston : Birkhäuser , 2010.
Physical Details	XX, 500 pages, 13 illus. : online resource.
Series	Modern Birkhäuser classics
ISBN	9780817680862
Summary Note	Optimal Control brings together many of the important advances in 'nonsmooth' optimal control over the last several decades concerning necessary conditions, minimizer regularity, and global optimality conditions associated with the HamiltonâJacobi equation. The book is largely self-contained and incorporates numerous simplifications and unifying features for the subjectâs key concepts and foundations. Features and Topics: * a comprehensive overview is provided for specialists and nonspecialists * authoritative, coherent, and accessible coverage of the role of nonsmooth analysis in investigating minimizing curves for optimal control * chapter coverage of dynamic programming and the regularity of minimizers * explains the necessary conditions for nonconvex problems This book is an excellent presentation of the foundations and applications of nonsmooth optimal control for postgraduates, researchers, and professionals in systems, control, optimization, and applied mathematics. ----- Each chapter contains a well-written introduction and notes. They include the author's deep insights on the subject matter and provide historical comments and guidance to related literature. This book may well become an important milestone in the literature of optimal control.âMathematical Reviews This remarkable book presents Optimal Control seen as a natural development of Calculus of Variations so as to deal with the control of engineering devices. ... Thanks to a great effort to be self-contained, it renders accessibly the subject to a wide audience. Therefore, it is recommended to all researchers and professionals interested in Optimal Control and its engineering and economic applications. It can serve as an excellent textbook for graduate courses in Optimal Control (with special emphasis on Nonsmooth Analysis). âAutomatica The book may be an essential resource for potential readers, experts in control and optimization, as well as postgraduates and applied mathematicians, and it will be valued for its accessibility and clear exposition.âApplications of Mathematics:
Contents note	Preface -- Notation -- Overview -- Measurable Multifunctions and Differential Inclusions -- Variational Principles -- Nonsmooth Analysis -- Subdifferential Calculus -- The Maximum Principle.-The Extended Euler Lagrange and Hamilton Conditions -- Necessary Conditions for Free Time Problems -- The Maximum Principle for State Constrained Problems -- The Extended Euler Lagrange Condition and Hamilton Inclusion for State Constrained Problems.-Regularity of Minimizers -- Dynamic Programming -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-0-8176-8086-2
Links to Related Works	Subject References: Calculus of variations and optimal control; optimization . Control . Mathematics . Systems theory . Systems Theory, Control . Authors: Vinter, Richard B. . Vinter, Richard B. . Corporate Authors: SpringerLink (Online service) . Series: Modern Birkhäuser classics . Classification: 519 .

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Optimal Control

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