Closure, Lower Closure, and Semicontinuity Theorems in Optimal Control

1971 ◽  
Vol 9 (2) ◽  
pp. 287-315 ◽  
Author(s):  
Lamberto Cesari
Keyword(s):  
Optimal Control ◽  
Lower Closure

scholarly journals Optimal Control of a Nonlinear PDE Governed by Fractional Laplacian

2021 ◽  
Author(s):  
Rafał Kamocki
Keyword(s):  
Optimal Control ◽  
Fractional Laplacian ◽  
Nonlinear Pde ◽  
Optimal Solutions ◽  
Dirichlet Laplacian ◽  
Existence Of Optimal Solutions ◽  
Closure Theorem ◽  
Orientor Fields ◽  
Lower Closure ◽  
Lower Closure Theorem

AbstractWe consider an optimal control problem containing a control system described by a partial nonlinear differential equation with the fractional Dirichlet–Laplacian, associated to an integral cost. We investigate the existence of optimal solutions for such a problem. In our study we use Filippov’s approach combined with a lower closure theorem for orientor fields.

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