Time-Dependent Subdifferential Evolution Inclusions and Optimal Control
Author： Shouchuan Hu;Nikolaos S. Papageorgiou
Publisher： American Mathematical Society
Publication year： 2013
E-ISBN: 9781470402211
P-ISBN(Paperback): 9780821807798
P-ISBN(Hardback): 9780821807798
Subject： O175 differential equations, integral equations
Keyword： Differential Equations
Language： ENG
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Time-Dependent Subdifferential Evolution Inclusions and Optimal Control
Description
This volume studies multivalued evolution equations driven by time-dependent subdifferential operators and optimal control problems for such systems. The formulation is general enough to incorporate problems with time varying constraints. For evolution inclusions, existence relaxation and structural results for the solution set are proved. For optimal control problems, a general existence theory is developed, different forms of the relaxed problem are introduced and studied, well-posedness properties are investigated and the precise relation between the properties of relaxability and well-posedness is established. Various examples of systems which fit in the abstract framework are analyzed.