Investigation of the Nash Equilibrium Problem in Quasi-Linear Stationary Stochastic Dynamic Systems Functioning on an Unlimited Time Interval

2021 ◽  
Vol 60 (6) ◽  
pp. 875-882
Author(s):  
A. S. Agapova ◽  
M. M. Khrustalev
Keyword(s):  
Nash Equilibrium ◽  
Equilibrium Problem ◽  
Dynamic Systems ◽  
Time Interval ◽  
Stochastic Dynamic ◽  
Nash Equilibrium Problem ◽  
Unlimited Time ◽  
Stochastic Dynamic Systems

Neural network for solving Nash equilibrium problem in application of multiuser power control

2014 ◽  
Vol 57 ◽  
pp. 73-78 ◽  
Author(s):  
Xing He ◽  
Junzhi Yu ◽  
Tingwen Huang ◽  
Chuandong Li ◽  
Chaojie Li
Keyword(s):  
Neural Network ◽  
Nash Equilibrium ◽  
Power Control ◽  
Equilibrium Problem ◽  
Nash Equilibrium Problem

scholarly journals Approximate Controllability of Sobolev Type Nonlocal Fractional Stochastic Dynamic Systems in Hilbert Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Mourad Kerboua ◽  
Amar Debbouche ◽  
Dumitru Baleanu
Keyword(s):  
Control Systems ◽  
Hilbert Spaces ◽  
Dynamic Systems ◽  
Approximate Controllability ◽  
Dynamic Control ◽  
Sufficient Conditions ◽  
Sobolev Type ◽  
Stochastic Dynamic ◽  
Deterministic Control ◽  
Stochastic Dynamic Systems

We study a class of fractional stochastic dynamic control systems of Sobolev type in Hilbert spaces. We use fixed point technique, fractional calculus, stochastic analysis, and methods adopted directly from deterministic control problems for the main results. A new set of sufficient conditions for approximate controllability is formulated and proved. An example is also given to provide the obtained theory.

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