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Infinite Dimensional Optimization and Control Theory (Encyclopedia of Mathematics and its Applications), by Hector O. Fattorini
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This book concerns existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. The author obtains these necessary conditions from Kuhn-Tucker theorems for nonlinear programming problems in infinite dimensional spaces. The optimal control problems include control constraints, state constraints and target conditions. Fattorini studies evolution partial differential equations using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation theory. The author establishes existence of optimal controls for arbitrary control sets by means of a general theory of relaxed controls. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls.
- Sales Rank: #4991607 in Books
- Brand: Brand: Cambridge University Press
- Published on: 1999-03-28
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x 1.69" w x 6.14" l, 2.88 pounds
- Binding: Hardcover
- 816 pages
- Used Book in Good Condition
Review
"Fattorini's extensive monograph is a fundamental contribution to optimal control theory of evolution finite- or infinite-dimensional systems, and summarizes and extends his many decades of intensive research in this area...This outstanding monograph should be on the desk of every expert in optimal control theory...it will be a great source for graduate students interested in calculus of variations, nonlinear programming, optimization theory and optimal control." Mathematical Reviews
About the Author
Hector O. Fattorini graduated from the Licenciado en Matemática, Universidad de Buenos Aires in 1960 and gained a Ph.D. in Mathematics from the Courant Institute of Mathematical Sciences, New York University, in 1965. Since 1967, he has been a member of the Department of Mathematics at the University of California, Los Angeles.
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