Optimal controls for a class of nonlinear evolution systems

We consider the abstract nonlinear evolution equation $dot{z}+ Az =uBz +f$. Viewing $u$ as control, we seek to minimize $J(u)=int_{0}^{T}L(z(t),u(t)),dt$. Under suitable hypotheses, it is shown that there exists an optimal control $overline{u}$ and that it satisfies the appropriate optimality system...

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Bibliographic Details
Main Authors: Abdelhaq Benbrik, Mohammed Berrajaa, Samir Lahrech
Format: Article
Language:English
Published: Texas State University 2006-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/14/b1/abstr.html