scholarly journals Duality in the optimal control of hyperbolic equations with positive controls

2000 ◽  
Vol 23 (3) ◽  
pp. 181-188
Author(s):  
Jong Yeoul Park ◽  
Mi Jin Lee

We study the duality theory for hyperbolic equations. Also, we consider distributed control systems with positive control and convex cost functionals.

2003 ◽  
Vol 2003 (27) ◽  
pp. 1703-1714
Author(s):  
Mi Jin Lee ◽  
Jong Yeoul Park ◽  
Young Chel Kwon

We study the duality theory for damped hyperbolic equations. These systems have positive controls and convex cost functionals. Our main results lie in the application of duality theorem, that is,inf J=sup K, on various cost functions.


2020 ◽  
Vol 53 (2) ◽  
pp. 11081-11088
Author(s):  
Andreea B. Alexandru ◽  
George J. Pappas

Author(s):  
Alexandre Dos Santos Roque ◽  
Nasser Jazdi ◽  
Edison Pignaton De Freitas ◽  
Carlos Eduardo Pereira

1997 ◽  
Vol 30 (12) ◽  
pp. 293-298
Author(s):  
Lim Peng Hun ◽  
Philip Chin Sim Moo ◽  
Yang Zhizong ◽  
Pee Suat Hoon ◽  
Lim Jin Choon

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