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portada mathematical methods in optimization of differential systems
mathematical methods in optimization of differential systemsmathematical methods in optimization of differential systems
Type
Physical Book
Publisher
Author
Language
English
Pages
272
ISBN
0792331761
ISBN13
9780792331766

mathematical methods in optimization of differential systems

Barbu (Author) · Springer · Physical Book

mathematical methods in optimization of differential systems - barbu

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Synopsis "mathematical methods in optimization of differential systems"

this volume is concerned with optimal control problems governed by ordinary differential systems and partial differential equations. the emphasis is on first-order necessary conditions of optimality and the construction of optimal controllers in feedback forms. these subjects are treated using some new concepts and techniques in modern optimization theory, such as clarkes generalized gradient, ekelands variational principle, viscosity solution to the hamilton--jacobi equation, and smoothing processes for optimal control problems governed by variational inequalities. a substantial part of this book is devoted to applications and examples. a background in advanced calculus will enable readers to understand most of this book, including the statement of the pontriagin maximum principle and many of the applications. this work will be of interest to graduate students in mathematics and engineering, and researchers in applied mathematics, control theory and systems theory.

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