scholarly journals On the computational algorithms for time-lag optimal control problems

1985 ◽  
Vol 32 (2) ◽  
pp. 309-311
Author(s):  
Kar Hung Wong
Keyword(s):  
Optimal Control ◽  
Differential Equations ◽  
Time Delays ◽  
Optimal Control Problems ◽  
Time Lag ◽  
Neumann Boundary ◽  
Parabolic Partial Differential Equations ◽  
Control Problems ◽  
Computational Algorithms ◽  
Delayed Arguments

In this thesis we study the following two types of hereditary optimal control problems: (i) problems governed by systems of ordinary differential equations with discrete time-delayed arguments appearing in both the state and the control variables; (ii) problems governed by parabolic partial differential equations with Neumann boundary conditions involving time-delays.

scholarly journals A conditional gradient method for a class of time-lag optimal control problems

1984 ◽  
Vol 25 (4) ◽  
pp. 518-537 ◽  
Author(s):  
K. H. Wong ◽  
K. L. Teo
Keyword(s):  
Optimal Control ◽  
Computational Algorithm ◽  
Optimal Control Problems ◽  
Convergence Property ◽  
Time Lag ◽  
Control Problems ◽  
Bounded Control ◽  
Conditional Gradient Method ◽  
Gradient Technique ◽  
Delayed Arguments

AbstractIn this paper, we consider a class of optimal control problems with discrete time delayed arguments and bounded control region. A computational algorithm for solving this class of time lag optimal control problems is developed by means of the conditional gradient technique. The convergence property of the algorithm is also investigated.

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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