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Optimal Control Feedback Nash in The Scalar Infinite Non-cooperative Dynamic Game with Discount Factor

Nilwan Andiraja, - and Rado Yendra, - and Ari Pani Desvina, - and RAHMADENI, - and Ahmad Fudholi, - (2016) Optimal Control Feedback Nash in The Scalar Infinite Non-cooperative Dynamic Game with Discount Factor. Global Journal of Pure and Applied Mathematics, 12 (4). pp. 3463-3468. ISSN 0973-1768 (print) 0973-9750 (online)

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Abstract

In this research was discuss about equation of dynamic system game with infinite time for scalar case with discount factor. Based system of dynamic game formed algebraic Riccati equation for infinite time. Furthermore, based solution from algebraic Riccati equation, formed feedback Nash for each player. Then analyzed about stability of system with substitution feedback Nash to differential equation dynamic system. Moreover, for existence solution and uniqueness solution of 3464 Nilwan Andiraja et al feedback Nash, resulting for and founded solution for feedback Nash and there is one feedback Nash solution which stabilize dynamic system. Keywords: Dynamic, discount, game, riccati, scalar.

Item Type: Article
Subjects: 500 Ilmu-ilmu Alam dan Matematika > 510 Matematika
Divisions: Fakultas Sains dan Teknologi > Matematika
Depositing User: Gusneli -
Date Deposited: 13 Apr 2023 07:51
Last Modified: 13 Apr 2023 07:51
URI: http://repository.uin-suska.ac.id/id/eprint/69990

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