scholarly journals Optimal control of a rate-independent evolution equation via viscous regularization

2017 ◽  
Vol 10 (6) ◽  
pp. 1467-1485 ◽  
Author(s):  
Ulisse Stefanelli ◽  
◽  
Daniel Wachsmuth ◽  
Gerd Wachsmuth ◽  
◽  
...  
Keyword(s):  
Optimal Control ◽  
Evolution Equation ◽  
Independent Evolution ◽  
Viscous Regularization

scholarly journals Admissible relaxation in optimal control problems for infinite dimensional uncertain systems

1992 ◽  
Vol 5 (3) ◽  
pp. 227-236 ◽  
Author(s):  
N. U. Ahmed ◽  
X. Xiang
Keyword(s):  
Banach Space ◽  
Optimal Control ◽  
Evolution Equation ◽  
Uncertain Systems ◽  
Optimal Control Problems ◽  
Original System ◽  
Control Problems ◽  
Infinite Dimensional ◽  
Relaxed System

In this paper we present a result on admissible relaxation for a class of systems governed by an uncertain evolution equation on Banach space. We show that the set of original trajectories is dense in the set of relaxed trajectories and that under certain assumptions the relaxed system is equivalent to the original system.

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