Solving inverse optimal control problems via value functions to global optimality

2019 ◽  
Vol 74 (2) ◽  
pp. 297-325 ◽  
Author(s):  
Stephan Dempe ◽  
Felix Harder ◽  
Patrick Mehlitz ◽  
Gerd Wachsmuth
Keyword(s):  
Optimal Control ◽  
Optimal Control Problems ◽  
Control Problems ◽  
Global Optimality ◽  
Value Functions ◽  
Inverse Optimal Control

scholarly journals Optimal Control Problems Involving Combined Fractional Operators with General Analytic Kernels

Mathematics ◽  
2021 ◽  
Vol 9 (19) ◽  
pp. 2355
Author(s):  
Faïçal Ndaïrou ◽  
Delfim F. M. Torres
Keyword(s):  
Optimal Control ◽  
Optimal Control Problems ◽  
Type Inequality ◽  
Necessary Optimality Conditions ◽  
Control Problems ◽  
Global Optimality ◽  
Fractional Operators ◽  
Fractional Optimal Control ◽  
Analytic Kernel ◽  
Global Optimality Condition

Fractional optimal control problems via a wide class of fractional operators with a general analytic kernel are introduced. Necessary optimality conditions of Pontryagin type for the considered problem are obtained after proving a Gronwall type inequality as well as results on continuity and differentiability of perturbed trajectories. Moreover, a Mangasarian type sufficient global optimality condition for the general analytic kernel fractional optimal control problem is proved. An illustrative example is discussed.

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