Control Theory And The Calculus Of Variations
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Control Theory And The Calculus Of Variations
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Author : Alampallam Venkatachalaiyer Balakrishnan
language : en
Publisher:
Release Date :
Control Theory And The Calculus Of Variations written by Alampallam Venkatachalaiyer Balakrishnan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Control theory categories.
A Primer On The Calculus Of Variations And Optimal Control Theory
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Author : Mike Mesterton-Gibbons
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
A Primer On The Calculus Of Variations And Optimal Control Theory written by Mike Mesterton-Gibbons and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
The calculus of variations is used to find functions that optimize quantities expressed in terms of integrals. Optimal control theory seeks to find functions that minimize cost integrals for systems described by differential equations. This book is an introduction to both the classical theory of the calculus of variations and the more modern developments of optimal control theory from the perspective of an applied mathematician. It focuses on understanding concepts and how to apply them. The range of potential applications is broad: the calculus of variations and optimal control theory have been widely used in numerous ways in biology, criminology, economics, engineering, finance, management science, and physics. Applications described in this book include cancer chemotherapy, navigational control, and renewable resource harvesting. The prerequisites for the book are modest: the standard calculus sequence, a first course on ordinary differential equations, and some facility with the use of mathematical software. It is suitable for an undergraduate or beginning graduate course, or for self study. It provides excellent preparation for more advanced books and courses on the calculus of variations and optimal control theory.
Control Theory And The Calculus Of Variations Ed
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Author : Workshop on Calculus of Variations and Control Theory, University of California, Los Angeles, 1968
language : en
Publisher:
Release Date :
Control Theory And The Calculus Of Variations Ed written by Workshop on Calculus of Variations and Control Theory, University of California, Los Angeles, 1968 and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Calculus of variations categories.
Control Theory And The Calculus Of Variations Based On The Lectures Presented At The Workshop On Calculus Of Variations And Control Theory University Of California Los Angeles July 1968
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Author : Workshop on Calculus of Variations and Control Theory
language : en
Publisher:
Release Date : 1969
Control Theory And The Calculus Of Variations Based On The Lectures Presented At The Workshop On Calculus Of Variations And Control Theory University Of California Los Angeles July 1968 written by Workshop on Calculus of Variations and Control Theory and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
Constrained Optimization In The Calculus Of Variations And Optimal Control Theory
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Author : J Gregory
language : en
Publisher: CRC Press
Release Date : 2018-01-18
Constrained Optimization In The Calculus Of Variations And Optimal Control Theory written by J Gregory and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-18 with Mathematics categories.
The major purpose of this book is to present the theoretical ideas and the analytical and numerical methods to enable the reader to understand and efficiently solve these important optimizational problems.The first half of this book should serve as the major component of a classical one or two semester course in the calculus of variations and optimal control theory. The second half of the book will describe the current research of the authors which is directed to solving these problems numerically. In particular, we present new reformulations of constrained problems which leads to unconstrained problems in the calculus of variations and new general, accurate and efficient numerical methods to solve the reformulated problems. We believe that these new methods will allow the reader to solve important problems.
Calculus Of Variations And Optimal Control Theory
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Author : Daniel Liberzon
language : en
Publisher: Princeton University Press
Release Date : 2011-12-19
Calculus Of Variations And Optimal Control Theory written by Daniel Liberzon and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-19 with Mathematics categories.
This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. It then gives a complete proof of the maximum principle and covers key topics such as the Hamilton-Jacobi-Bellman theory of dynamic programming and linear-quadratic optimal control. Calculus of Variations and Optimal Control Theory also traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter, and suggestions for further study. Offers a concise yet rigorous introduction Requires limited background in control theory or advanced mathematics Provides a complete proof of the maximum principle Uses consistent notation in the exposition of classical and modern topics Traces the historical development of the subject Solutions manual (available only to teachers) Leading universities that have adopted this book include: University of Illinois at Urbana-Champaign ECE 553: Optimum Control Systems Georgia Institute of Technology ECE 6553: Optimal Control and Optimization University of Pennsylvania ESE 680: Optimal Control Theory University of Notre Dame EE 60565: Optimal Control
The Calculus Of Variations And Optimal Control
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Author : George Leitmann
language : en
Publisher: Springer Science & Business Media
Release Date : 1981-05-31
The Calculus Of Variations And Optimal Control written by George Leitmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-05-31 with Mathematics categories.
This book is intended to present an introductory treatment of the calculus of variations in Part I and of optimal control theory in Part II. The discussion in Part I is restricted to the simplest problem of the calculus of variations. The topic is entirely classical; all of the basic theory had been developed before the turn of the century. Consequently the material comes from many sources.
Calculus Of Variations And Optimal Control Theory
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Author : Magnus R. Hestenes
language : en
Publisher:
Release Date : 1969
Calculus Of Variations And Optimal Control Theory written by Magnus R. Hestenes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
Control Theory Methods In Economics
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Author : Jati Sengupta
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-01-31
Control Theory Methods In Economics written by Jati Sengupta and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-31 with Business & Economics categories.
Control theory methods in economics have historically developed over three phases. The first involved basically the feedback control rules in a deterministic framework which were applied in macrodynamic models for analyzing stabilization policies. The second phase raised the issues of various types of inconsistencies in deterministic optimal control models due to changing information and other aspects of stochasticity. Rational expectations models have been extensively used in this plan to resolve some of the inconsistency problems. The third phase has recently focused on the various aspects of adaptive control. where stochasticity and information adaptivity are introduced in diverse ways e.g .• risk adjustment and risk sensitivity of optimal control, recursive updating rules via Kalman filtering and weighted recursive least squares and variable structure control methods in nonlinear framework. Problems of efficient econometric estimation of optimal control models have now acquired significant importance. This monograph provides an integrated view of control theory methods, synthesizing the three phases from feedback control to stochastic control and from stochastic control to adaptive control. Aspects of econometric estimation are strongly emphasized here, since these are very important in empirical applications in economics.
Lectures On The Calculus Of Variations And Optimal Control Theory
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Author : Laurence C. Young
language : en
Publisher:
Release Date : 1962
Lectures On The Calculus Of Variations And Optimal Control Theory written by Laurence C. Young and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Calculus of variations categories.