Optimal control of distributed parabolic systems with multiple time delays given in the integral form

2005 ◽  
Vol 22 (2) ◽  
pp. 149-170 ◽  
Author(s):  
A. Kowalewski
Keyword(s):  
Optimal Control ◽  
Time Delays ◽  
Integral Form ◽  
Parabolic Systems ◽  
Multiple Time ◽  
Multiple Time Delays

scholarly journals Optimality Conditions for Infinite Order Distributed Parabolic Systems with Multiple Time Delays Given in Integral Form

2012 ◽  
Vol 2012 ◽  
pp. 1-25 ◽  
Author(s):  
Bahaa G. M.
Keyword(s):  
Optimality Conditions ◽  
Time Delays ◽  
Infinite Order ◽  
Neumann Boundary ◽  
Integral Form ◽  
Parabolic Systems ◽  
Multiple Time ◽  
State Equations ◽  
Multiple Time Delays ◽  
Performance Functional

The optimal boundary control problem for (n×n) infinite order distributed parabolic systems with multiple time delays given in the integral form both in the state equations and in the Neumann boundary conditions is considered. Constraints on controls are imposed. Necessary and suffacient optimality conditions for the Neumann problem with the quadratic performance functional are derived.

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