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Optimal Control for Nonlinear Parabolic Distributed Parameter Systems

Optimal Control for Nonlinear Parabolic Distributed Parameter Systems

von Quan-Fang Wang
Softcover - 9783844303964
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Beschreibung

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.

with numerical analysis

Details

Verlag LAP LAMBERT Academic Publishing
Ersterscheinung 01. Februar 2011
Maße 22 cm x 15 cm x 0.7 cm
Gewicht 179 Gramm
Format Softcover
ISBN-13 9783844303964
Seiten 108