Optimal control feedback Nash in the scalar infinite non-cooperative dynamic game with discount factor

Nilwan Andiraja, Rado Yendra, Ari Pani Despina, Rahmadeni, Ahmad Fudholi

Research output: Contribution to journalArticle

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 feedback Nash, resulting for s1 = 0 and s2 = 0 founded solution for feedback Nash and there is one feedback Nash solution which stabilize dynamic system.

Original languageEnglish
Pages (from-to)3463-3468
Number of pages6
JournalGlobal Journal of Pure and Applied Mathematics
Volume12
Issue number4
Publication statusPublished - 2016

Fingerprint

Optimal Feedback Control
Discount Factor
Dynamic Games
Non-cooperative Game
Feedback control
Scalar
Feedback
Dynamic Systems
Dynamical systems
Algebraic Riccati Equation
Riccati equations
Solution Existence
Uniqueness of Solutions
Substitution
Differential equations
Substitution reactions
Game
Differential equation

Keywords

  • Discount
  • Dynamic
  • Game
  • Riccati
  • Scalar

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Optimal control feedback Nash in the scalar infinite non-cooperative dynamic game with discount factor. / Andiraja, Nilwan; Yendra, Rado; Despina, Ari Pani; Rahmadeni, ; Fudholi, Ahmad.

In: Global Journal of Pure and Applied Mathematics, Vol. 12, No. 4, 2016, p. 3463-3468.

Research output: Contribution to journalArticle

Andiraja, Nilwan ; Yendra, Rado ; Despina, Ari Pani ; Rahmadeni, ; Fudholi, Ahmad. / Optimal control feedback Nash in the scalar infinite non-cooperative dynamic game with discount factor. In: Global Journal of Pure and Applied Mathematics. 2016 ; Vol. 12, No. 4. pp. 3463-3468.
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