HUBUNGAN ANTARA KETERCAPAIAN DAN KETERKONTROLAN SISTEM LINIER KONTINU BERGANTUNG TERHADAP WAKTU

Virza Gavinda Nz, Ezhari Asfa’ani

Abstract


Sistem linier kontinu bergantung terhadap waktu merupakan suatu model yang banyak dijumpai dalam beberapa aplikasi. Artikel ini mengkaji hubungan antara ketercapaian dan keterkontrolan sistem linier kontinu bergantung waktu. Dengan menggunakan metode aljabar dibuktikan beberapa teorema agar diperoleh hubungan antara ketercapaian dan keterkontrolan sistem linier kontinu bergantung terhadap waktu. Selain itu, diberikan beberapa contoh sebagai ilustrasi untuk memperkuat keberlakuan teorema-teorema yang telah dibuktikan.

Abstract

Continuous time-varying linier system is a model which many peoples to find in any applications. This paper to teaching connection of reachability and controllability for continuous time-varying linear system. With algebra method we can proof any theorems to result connection of reachability and controllability for continuous time-varying linear system. Futhermore, we given any examples for illustration to be valid this theorems and this proof.


Keywords


ketercapaian, keterkontrolan, sistem linier kontinu bergantung terhadap waktu

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References


Anton, H. 1991. Aljabar Linier Elementer Edisi Lima. Terjemahan, Erlangga. Jakarta.

Antsaklis, Panos J. dan Anthony N. Michel. 2006. Linear Systems. Birkhauser. Boston.

Antsaklis, Panos J. dan Anthony N. Michel. 2007. A Linear Systems Primer. Birkhauser. Boston.

Cullen, C.G. 1966. Matrices and Linear Transformation. Addison Wesley Publising. Pittburg-Pennsylvania.

Gopal, M. 1993. Modern Control System Theory. New Age International (P) Ltd. New Delhi.

Jacob, Bill. 1990. Linear Algebra. W.H. Freeman and Company. New York.

Laub, Alan J. 2005. Matrix Analysis for Scientists and Engineers. SIAM. USA.




DOI: https://doi.org/10.15548/map.v1i2.1178

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