Infinite Dimensional Optimization and Control Theory

Infinite Dimensional Optimization and Control Theory

eBook - 1999
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This book is on existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. These necessary conditions are obtained from Kuhn-Tucker theorems for nonlinear programming problems in infinite dimensional spaces. The optimal control problems include control constraints, state constraints and target conditions. Evolution partial differential equations are studied using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation theory. Existence of optimal controls is established for arbitrary control sets by means of a general theory of relaxed controls.
Publisher: New York : Cambridge University Press, 1999
ISBN: 9781107088580
1107088585
9780511574795
0511574797
0521421256
0521451256
9780521451253
Characteristics: 1 online resource (xv, 798 pages)

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