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All Journal Math Educa Journal Mathematics and Applications (MAp) Journal
Asfa’ani, Ezhari
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Mathematics

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Journal : Math Educa Journal

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Hubungan antara Keterobservasian dan Keterkonstruksian Sistem Linier Kontinu Bergantung Waktu Asfa’ani, Ezhari
Math Educa Journal Vol 1, No 1 (2017)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/mej.v1i1.1545

Abstract

Continuous time-varying linier system is a model which many peoples to find in any applications. This paper to teaching connection of observability and constructibility for continuous time-varying linear system. With algebra method we can proof any theorems to result connection of observability and constructibility for continuous time-varying linear system. Futhermore, we gave any examples for illustration to be valid this theorems and this proof.
Titik Setimbang Nash pada Permainan Linear Kuadratik Non-kooperatif dengan Asumsi Keseluruhan Pemain dapat Menstabilkan Sistem Asfa’ani, Ezhari
Math Educa Journal Vol 1, No 2 (2017)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/mej.v1i2.28

Abstract

We discuss about Nash equilibria for the linear quadratic differential game for an infinite planning horizon. We consider an open-loop information structure. In the standard literature this problem is solved under the assumption and provide both necessary and sufficient conditions for existence of Nash equilibria for this game under the assumption that the system as a whole is stabilizable.      Keywords: linear quadratic differential games, open-loop information structure
Co-Authors Andi Susanto Darvi Mailisa Putri Hasibuan, Lilis Harianti Miftahul Jannah Nana Sepriyanti Nz, Virza Gavinda