ISBN: 9780521154543 - infinite dimensional optimization and control theory (encyclopedia of mathematics & its applications, 62, band 62) (3 Ergebnisse)

Zustand: New. In English.

Zustand: New. Treats optimal problems for systems described by ODEs and PDEs, using an approach that unifies finite and infinite dimensional nonlinear programming. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 816 pages, Illustrations. BIC Classification: PBUD. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 41. Weight in Grams: 1120. . 2010. Reissue. paperback. . . . . Books ship from the US and Ireland. …

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls.…