Primer on the calculus of variations and optimal control theory
Material type:
TextLanguage: English Series: Student mathematical library ; volume 50Publication details: Rhode Island : American Mathematical Society, 2012 Description: xiii, 252 p. : ill. ; 22 cmISBN: 9780821887349Subject(s): Calculus of variations | Control theory | Mathematical optimizationDDC classification: 517.97 Online resources: Table of Contents | Reviews Summary: 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.
| Item type | Current library | Call number | Status | Date due | Barcode |
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NBHM Books
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NISER LIBRARY | 517.97 MES-P (Browse shelf(Opens below)) | Available | N127 | |
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NBHM Books
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SMS Library | 517.97 MES-P (Browse shelf(Opens below)) | Available | N425 |
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| 517.97 KNU-M Morse theory:smooth and discrete | 517.97 KNU-M Morse theory: smooth and discrete | 517.97 KOZ-O Organized collapse: an introduction to discrete morse theory | 517.97 MES-P Primer on the calculus of variations and optimal control theory | 517.97 MIL-M Morse theory | 517.97 SAG-I Introduction to the calculus of variations | 517.97 WOO-H History of the calculus of variations in the eighteenth century(A) |
Includes bibliographical references and index.
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.
Undergraduate and graduate students interested in the calculus of variations and optimal control.
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