Optimal Control for Nonlinear Parabolic Distributed Parameter Systems

Quan-Fang Wang

ISBN 10: 3844303960 / ISBN 13: 9783844303964

Verlag: LAP LAMBERT Academic Publishing Feb 2011, 2011

Beschreibung

Neuware -In this work, we have studied the quadratic cost optimal control problems and their numerical analysis of nonlinear parabolic distributed parameter systems. After established the fundamental existence and uniqueness results, we have developed the nonlinear optimal control theory for the equations having uniform Lipschitz continuous nonlinearity. Then we have applied the theoretical results to practical nonlinear parabolic partial differential equations including reaction-diffusion equations, diffusion Hopfield neural network equations. Furthermore, numerical evidences for these issues have also been solved by using variational method and finite element approach.Books on Demand GmbH, Überseering 33, 22297 Hamburg 108 pp. Englisch.

Bestandsnummer des Verkäufers 9783844303964

Bibliografische Details

• Titel: Optimal Control for Nonlinear Parabolic Distributed Parameter Systems
• Verlag: LAP LAMBERT Academic Publishing Feb 2011
• Veröffentlichungsdatum: 2011
• Sprache: Englisch
• ISBN-10: 3844303960
• ISBN-13: 9783844303964
• Bindung: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

In this work, we have studied the quadratic cost optimal control problems and their numerical analysis of nonlinear parabolic distributed parameter systems. After established the fundamental existence and uniqueness results, we have developed the nonlinear optimal control theory for the equations having uniform Lipschitz continuous nonlinearity. Then we have applied the theoretical results to practical nonlinear parabolic partial differential equations including reaction-diffusion equations, diffusion Hopfield neural network equations. Furthermore, numerical evidences for these issues have also been solved by using variational method and finite element approach.