scholarly journals Relaxation of optimal control problems driven by nonlinear evolution equations

2020 ◽  
Vol 9 (4) ◽  
pp. 1027-1040
Author(s):  
Leszek Gasiński ◽  
◽  
Nikolaos S. Papageorgiou ◽  
Keyword(s):  
Optimal Control ◽  
Evolution Equations ◽  
Optimal Control Problems ◽  
Nonlinear Evolution ◽  
Nonlinear Evolution Equations ◽  
Control Problems

scholarly journals Optimality conditions for systems driven by nonlinear evolution equations

1995 ◽  
Vol 1 (1) ◽  
pp. 27-36
Author(s):  
N. Papageorgiou
Keyword(s):  
Nonlinear Evolution Equation ◽  
Evolution Equations ◽  
Optimal Control Problems ◽  
Nonlinear Evolution ◽  
Sufficient Conditions ◽  
Nonlinear Evolution Equations ◽  
Control Problems ◽  
Terminal Constraints ◽  
Sufficient Conditions For Optimality ◽  
Necessary And Sufficient

Using the Dubovitskii-Milyutin theory we derive necessary and sufficient conditions for optimality for a class of Lagrange optimal control problems monitored by a nonlinear evolution equation and involving initial and/or terminal constraints. An example of a parabolic control system is also included.

scholarly journals Optimal control of nonlinear second order evolution equations

1993 ◽  
Vol 6 (2) ◽  
pp. 123-135 ◽  
Author(s):  
N. U. Ahmed ◽  
Sebti Kerbal
Keyword(s):  
Optimal Control ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Second Order ◽  
Nonlinear Evolution Equations ◽  
Optimal Solutions ◽  
Existence Of Optimal Solutions ◽  
Lagrange Problem

In this paper we study the optimal control of systems governed by second order nonlinear evolution equations. We establish the existence of optimal solutions for Lagrange problem.

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