Existence of optimal controls for nonlinear systems in Banach spaces

1987 ◽  
Vol 53 (3) ◽  
pp. 451-459 ◽  
Author(s):  
N. S. Papageorgiou
Keyword(s):  
Nonlinear Systems ◽  
Banach Spaces ◽  
Optimal Controls ◽  
Existence Of Optimal Controls

scholarly journals On the existence of optimal controls in Banach spaces

1983 ◽  
Vol 27 (3) ◽  
pp. 395-401 ◽  
Author(s):  
Mohan Joshi
Keyword(s):  
Optimal Control ◽  
Banach Spaces ◽  
Optimal Controls ◽  
Operator Equations ◽  
Existence Of Optimal Controls ◽  
Hammerstein Operator

We prove the existence of an optimal control in Banach spaces for a system characterized by Hammerstein operator equations.

scholarly journals Existence and optimal controls for nonlocal fractional evolution equations of order (1,2) in Banach spaces

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Denghao Pang ◽  
Wei Jiang ◽  
Azmat Ullah Khan Niazi ◽  
Jiale Sheng
Keyword(s):  
Banach Spaces ◽  
Mild Solution ◽  
Measure Of Noncompactness ◽  
Evolution Equations ◽  
Well Posedness ◽  
Optimal Controls ◽  
Lagrange Problem ◽  
Fractional Differential ◽  
Fractional Evolution Systems ◽  
Definition Of

AbstractIn this paper, we mainly investigate the existence, continuous dependence, and the optimal control for nonlocal fractional differential evolution equations of order (1,2) in Banach spaces. We define a competent definition of a mild solution. On this basis, we verify the well-posedness of the mild solution. Meanwhile, with a construction of Lagrange problem, we elaborate the existence of optimal pairs of the fractional evolution systems. The main tools are the fractional calculus, cosine family, multivalued analysis, measure of noncompactness method, and fixed point theorem. Finally, an example is propounded to illustrate the validity of our main results.

On the Existence of Optimal Controls

1962 ◽  
Vol 84 (1) ◽  
pp. 13-20 ◽  
Author(s):  
L. Markus ◽  
E. B. Lee
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Optimal Control ◽  
Optimal Controls ◽  
Optimum Control ◽  
Existence Of Optimal Controls ◽  
Differential Equation Models ◽  
Controlling Processes

The problem of existence of various types of optimum controls for controlling processes which are described by ordinary differential equation models is considered. The results presented enable one to test if there does exist an optimum control in the class of controls under consideration before proceeding to the construction of an optimal control.

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