scholarly journals A class of optimal control problems of systems governed by the first order linear dynamic equations on time scales

2009 ◽  
Vol 5 (1) ◽  
pp. 1-10 ◽  
Author(s):  
Y. Gong ◽  
◽  
X. Xiang
Keyword(s):  
Optimal Control ◽  
Time Scales ◽  
Optimal Control Problems ◽  
Dynamic Equations ◽  
Control Problems ◽  
Order Linear ◽  
First Order ◽  
Linear Dynamic

scholarly journals Existence of Solutions for Optimal Control Problems on Time Scales whose States are Absolutely Continuous

2016 ◽  
Vol 17 (1) ◽  
pp. 81
Author(s):  
Iguer L D Santos
Keyword(s):  
Optimal Control ◽  
Time Scales ◽  
Optimal Control Problems ◽  
Existence Of Solutions ◽  
Sufficient Conditions ◽  
Dynamic Equations ◽  
Control Problems ◽  
Optimal Controls ◽  
Absolutely Continuous

This paper considers a class of optimal control problems on time scales described by dynamic equations on time scales. We have established sufficient conditions for theexistence of optimal controls.

scholarly journals Vartiational Optimal-Control Problems with Delayed Arguments on Time Scales

2009 ◽  
Vol 2009 ◽  
pp. 1-15 ◽  
Author(s):  
Thabet Abdeljawad (Maraaba) ◽  
Fahd Jarad ◽  
Dumitru Baleanu
Keyword(s):  
Optimal Control ◽  
Time Scales ◽  
Optimal Control Problems ◽  
Control Problems ◽  
Delayed Arguments

scholarly journals A gradient technique for an optimal control problem governed by a system of nonlinear first order partial differential equations

1995 ◽  
Vol 36 (3) ◽  
pp. 261-273 ◽  
Author(s):  
Mohammad A. Kazemi
Keyword(s):  
Optimal Control ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Optimal Control Problems ◽  
Fréchet Derivative ◽  
Necessary Condition ◽  
Control Problems ◽  
Partial Differential ◽  
Frechet Derivative ◽  
First Order

AbstractIn this paper a class of optimal control problems with distributed parameters is considered. The governing equations are nonlinear first order partial differential equations that arise in the study of heterogeneous reactors and control of chemical processes. The main focus of the present paper is the mathematical theory underlying the algorithm. A conditional gradient method is used to devise an algorithm for solving such optimal control problems. A formula for the Fréchet derivative of the objective function is obtained, and its properties are studied. A necessary condition for optimality in terms of the Fréchet derivative is presented, and then it is shown that any accumulation point of the sequence of admissible controls generated by the algorithm satisfies this necessary condition for optimality.

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