Quadratic Pareto optimal control of parabolic equation with state-control constraints and an infinite number of variables

2003 ◽  
Vol 20 (2) ◽  
pp. 167-178 ◽  
Author(s):  
G. M. Bahaa
Keyword(s):  
Optimal Control ◽  
Parabolic Equation ◽  
Infinite Number ◽  
Pareto Optimal ◽  
Control Constraints ◽  
State Control

scholarly journals An existence theorem for an optimal control problem in banach spaces

1989 ◽  
Vol 39 (2) ◽  
pp. 239-247 ◽  
Author(s):  
Evgenios P. Avgerinos ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Optimal Control ◽  
Distributed Parameter ◽  
Control Constraints ◽  
Distributed Parameter System ◽  
State Control ◽  
Parameter System ◽  
Control Pair ◽  
Feedback Type ◽  
Cost Criterion ◽  
Nonlinear Distributed Parameter System

In this paper we prove the existence of an optimal admissible state-control pair for a nonlinear distributed parameter system, with control constraints of feedback type and with an integral cost criterion. An example is also worked in detail.

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