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Nilwan Andiraja
UIN Sultan Syarif Kasim Riau, Pekanbaru
Computer Science & IT Control & Systems Engineering Electrical & Electronics Engineering Industrial & Manufacturing Engineering Mathematics

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Vektor Kendali Permainan Dinamis LQ Non-Kooperatif Waktu Tak Berhingga Nilwan Andiraja
Seminar Nasional Teknologi Informasi Komunikasi dan Industri 2016: SNTIKI 8
Publisher : UIN Sultan Syarif Kasim Riau

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Abstract

In this paper discuss about control vector with Nash criterion in linier quadratic non-cooperativedynamic game two player case with infinite time. Discuss was started from general equations for noncooperative dynamic game N player for infinite time with several assumption. Then, with same assumptionto made general equation for non-cooperative dynamic game two player for infinite time. Based ondifferential equation and objective function for each player algebraic Riccati equation was formed for firstplayer and second player, to made control vector with Nash criterion. Finally, control vector with Nash forfirst player and second player used to analysis about stability of dynamic function.Keywords: game, linear, quadratic, non-cooperative, control
Aplikasi Teori Kendali Pada Permainan Dinamis Non-Kooperatif Waktu tak Berhingga Nilwan Andiraja
Seminar Nasional Teknologi Informasi Komunikasi dan Industri 2012: SNTIKI 4
Publisher : UIN Sultan Syarif Kasim Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (967.458 KB)

Abstract

In this paper discuss about application the control theory to form control vector in linier quadratic non-cooperative dynamic game two-player with Nash strategy for infinite time. Discuss was started from general equation for optimal control of continuous time, then discuss to continue to general equation for non-cooperative dynamic game N player for finite time with several assumption. Then, with the same assumption to made general equation for non-cooperative dynamic game two-player for infinite time, which consisting of differential equation dynamical system and objective function suitably. Moreover, with used control theory to form algebraic Riccati equation suitably with differential equation and objective function for each player. Based on algebraic Riccati equation was formed, gotten solution which used to form control vector suitably for each player. Finally gets to be concluded there are exists control vector in linear quadratic non-cooperative dynamic game two-player with Nash strategy for infinite time.Keywords: non-cooperative dynamic game, algebraic Riccati, control vector
Aplikasi Geometri pada Permainan Dinamis Non-Kooperatif Skalar Waktu tak Berhingga Nilwan Andiraja
Seminar Nasional Teknologi Informasi Komunikasi dan Industri 2015: SNTIKI 7
Publisher : UIN Sultan Syarif Kasim Riau

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Abstract

In this research was discuss about to find equilibrium Nash in non-cooperative dynamic game two-player with scalar case for infinite time, by application the analytic geometry. Discuss was started from made of equation model for non-cooperative dynamic game two-player with scalar case for infinite time based on equation of non-cooperative dynamic game for infinite time. Then made of two the algebraic Riccati equation and control vector for each player. The control vector is used for made of stability condition of game. Then is used the curse of analytic geometry for analyse equilibrium Nash for dynamic game. Base on analyse, there are two algebraic Riccati equation which it is special case of the algebraic of second degree which it is hyperbolic equation. Then, based on of stability condition of game then equilibrium Nash can get from intersection point of two hyperbolic in adequate area for stability condition of game.Keywords: Dynamic, Game ,Geometry, Riccati, Scalar
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