The Third National Seminar on Control and Optimization , 2019-11-13

Title : ( Nash equilibria in the fractional differential game )

Authors: MINA YAVARI , Sohrab Effati ,

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Abstract

In this paper we consider Nash equilibria for the affine linear quadratic fractional differential game for a finite planning horizon where the dynamic system depends on Caputo fractional derivatives. The Nash equilibrium is a proposed solution of a noncooperative game involving two or more players in which each player assumed to know the equilibrium strategies of the other players, and no player has anything to gain by changing only their own strategy. According to the Pontryagin minimum principle for optimal control problems and by constructing an error function, we define an unconstrained minimization problem. In order to solve this problem, we can use any optimization algorithms.

Keywords

, Nash Equilibrium, Linear quadratic fractional differential games, Fractional optimal control problems, Caputo fractional derivative, Optimization.
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@inproceedings{paperid:1078136,
author = {مینا یاوری and Effati, Sohrab},
title = {Nash equilibria in the fractional differential game},
booktitle = {The Third National Seminar on Control and Optimization},
year = {2019},
location = {سبزوار, IRAN},
keywords = {Nash Equilibrium; Linear quadratic fractional differential games; Fractional optimal control problems; Caputo fractional derivative; Optimization.},
}

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%0 Conference Proceedings
%T Nash equilibria in the fractional differential game
%A مینا یاوری
%A Effati, Sohrab
%J The Third National Seminar on Control and Optimization
%D 2019

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