Necessary and sufficient extremum conditions for discrete and differential inclusions with distributed parameters

1989 ◽  
Vol 30 (2) ◽  
pp. 266-278 ◽  
Author(s):  
�. N. Makhmudov
Keyword(s):  
Differential Inclusions ◽  
Distributed Parameters ◽  
Necessary And Sufficient ◽  
Extremum Conditions

Approximate Controllability of Partial Fractional Neutral Integro-Differential Inclusions With Infinite Delay in Hilbert Spaces

2016 ◽  
Vol 11 (1) ◽  
Author(s):  
Zuomao Yan ◽  
Hongwu Zhang
Keyword(s):  
Hilbert Spaces ◽  
Differential Inclusions ◽  
Approximate Controllability ◽  
Infinite Delay ◽  
Sufficient Conditions ◽  
Multivalued Operators ◽  
Approximately Controllable ◽  
Fractional System ◽  
The Fixed Point Theorem ◽  
Necessary And Sufficient

We study the approximate controllability of a class of fractional partial neutral integro-differential inclusions with infinite delay in Hilbert spaces. By using the analytic α-resolvent operator and the fixed point theorem for discontinuous multivalued operators due to Dhage, a new set of necessary and sufficient conditions are formulated which guarantee the approximate controllability of the nonlinear fractional system. The results are obtained under the assumption that the associated linear system is approximately controllable. An example is provided to illustrate the main results.

scholarly journals The nonsmoth optimal control problem for ensamble of trajectories of dynamic system under conditions of indeterminaci

2020 ◽  
Vol 5 ◽  
pp. 38-42
Author(s):  
Otakulov Salim ◽  
Rahimov Boykxuroz Shermuhamedovich ◽  
Haydarov Tulkinjon Turgunbayevich
Keyword(s):  
Optimal Control ◽  
Dynamic System ◽  
Control Problem ◽  
Differential Inclusions ◽  
Sufficient Conditions ◽  
Value Analysis ◽  
Minimax Control ◽  
Informational Model ◽  
The One ◽  
Necessary And Sufficient

In the paper we consider the one model of dynamic system under conditions of indeterminacy – linear controllable differential inclusions. For the informational model of the control system the minimax control problem for ensemble trajectories is researched. This control problem is study with a methods nonsmooth and multi-value analysis. The necessary and sufficient conditions of optimality are obtained.

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