Well-Posed and Ill-Posed Optimal Control Problems

2001 ◽  
Vol 109 (1) ◽  
pp. 169-185 ◽  
Author(s):  
S. Walczak
Keyword(s):  
Optimal Control ◽  
Optimal Control Problems ◽  
Control Problems ◽  
Ill Posed ◽  
Well Posed

scholarly journals Pontryagin's maximum principle for optimal control of a non-well-posed parabolic differential equation involving a state constraint

2004 ◽  
Vol 46 (2) ◽  
pp. 171-184
Author(s):  
Mi Jin Lee ◽  
Jong Yeoul Park
Keyword(s):  
Differential Equation ◽  
Optimal Control ◽  
Maximum Principle ◽  
Optimal Control Problems ◽  
Pontryagin’S Maximum Principle ◽  
State Constraint ◽  
Parabolic Differential Equation ◽  
Control Problems ◽  
Pontryagin's Maximum Principle ◽  
Well Posed

AbstractIn this paper, we study Pontryagin's maximum principle for some optimal control problems governed by a non-well-posed parabolic differential equation. A new penalty functional is applied to derive Pontryagin's maximum principle and an application for this system is given.

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