scholarly journals Synthesis of optimal boundary control of parabolic systems with delay and distributed parameters on the graph

2017 ◽  
Vol 13 (2) ◽  
pp. 209-224 ◽  
Author(s):  
Vyacheslav V. Provotorov ◽  
◽  
Elena N. Provotorova ◽  
Keyword(s):  
Boundary Control ◽  
Parabolic Systems ◽  
Optimal Boundary ◽  
Distributed Parameters ◽  
Optimal Boundary Control

scholarly journals The Cost Functional and Its Gradient in Optimal Boundary Control Problem for Parabolic Systems

2017 ◽  
Vol 06 (01) ◽  
pp. 26-37 ◽  
Author(s):  
Mohamed A. El-Sayed ◽  
Moustafa M. Salama ◽  
M. H. Farag ◽  
Fahad B. Al-Thobaiti
Keyword(s):  
Control Problem ◽  
Boundary Control ◽  
Parabolic Systems ◽  
Cost Functional ◽  
Optimal Boundary ◽  
Boundary Control Problem ◽  
Optimal Boundary Control ◽  
The Cost

scholarly journals Optimal boundary control problems of retarded parabolic systems

2013 ◽  
Vol 23 (3) ◽  
pp. 261-279 ◽  
Author(s):  
Adam Kowalewski ◽  
Anna Krakowiak
Keyword(s):  
Neumann Problem ◽  
Boundary Control ◽  
Sufficient Conditions ◽  
Parabolic Systems ◽  
Control Problems ◽  
Optimal Boundary ◽  
Optimal Boundary Control ◽  
Boundary Control Problems ◽  
The Neumann Problem ◽  
Necessary And Sufficient

Abstract Optimal boundary control problems of retarded parabolic systems are presented. Necessary and sufficient conditions of optimality are derived for the Neumann problem. A simple example of application is also presented.

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