This comprehensive text provides all information necessary for an introductory course on the calculus of variations and optimal control theory. Following a thorough discussion of the basic problem, including sufficient conditions for optimality, the theory and techniques are extended to problems with a free end point, a free boundary, auxiliary and inequality constraints, leading to a study of optimal control theory.
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Inside This Book
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First Sentence:
It is human nature to optimize. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
admissible extremal, admissible comparison functions, minimum cost production problem, accessory equation, semidirect method, optimal subpolicy, knapsack value, prescribed end conditions, smooth extremal, weak local minimum, unconstrained extremal, backward recursion algorithm, isoperimetric constraint, shortest route problem, strong local minimum, given variational problem, minimal surface problem, classical thin plate theory, geodesic problem, time optimal problem, extremal control, minimum complementary energy, knapsack capacities, multiplier rule, knapsack capacity Key Phrases - Capitalized Phrases (CAPs): (learn more)
Queen Dido, Uniform Forest, Consider Example, Slow Dispersion of Wave Trains, Sustained Consumption, Wheat-Trading Problem New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
It is human nature to optimize. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
admissible extremal, admissible comparison functions, minimum cost production problem, accessory equation, semidirect method, optimal subpolicy, knapsack value, prescribed end conditions, smooth extremal, weak local minimum, unconstrained extremal, backward recursion algorithm, isoperimetric constraint, shortest route problem, strong local minimum, given variational problem, minimal surface problem, classical thin plate theory, geodesic problem, time optimal problem, extremal control, minimum complementary energy, knapsack capacities, multiplier rule, knapsack capacity Key Phrases - Capitalized Phrases (CAPs): (learn more)
Queen Dido, Uniform Forest, Consider Example, Slow Dispersion of Wave Trains, Sustained Consumption, Wheat-Trading Problem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 44
books:
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1
book
cites this book:
- Optimal Control (Contemporary Soviet Mathematics) by V. M. Alekseev in Front Matter, and Back Matter
- Calculus of Variations (Dover Books on Mathematics) by I. M. Gelfand in Front Matter, and Back Matter
- L.S. Pontryagin: Mathematical Theory of Optimal Processes (Classics of Soviet Mathematics) by L.S. Pontryagin in Back Matter
- Perturbation Methods in Applied Mathematics (Applied Mathematical Sciences) by J. Kevorkian in Back Matter
- Calculus of Variations (Dover Books on Mathematics) by Robert Weinstock in Back Matter
See all 44 books this book cites
- Quantum Evolution: An Introduction to Time-Dependent Quantum Mechanics by James E. Bayfield in Back Matter
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