Keterkendalian dan keterobservasian pada sistem linear atas ring komutatif melalui pendekatan model polinomial

SURYANI, Primastuti Indah, Prof.Dr. Sri Wahyuni, MS

2007 | Tesis | S2 Matematika

Sistem linear abstrak quintuple atas ring komutatif membangkitkan struktur sistem yang baru, disebut sistem linear abstrak quadruple atas ring polinomial. Karakterisasi keterkendalian dan keterobservasian dari kedua sistem tersebut saling berkaitan dan dapat ditunjukkan melalui sifat homomorfisma dan coprime.

A quintuple abstract linear system over a commutative ring induces a new abstract linear system, which is called a quadruple linear system over a polynomial ring. The characterization of controllability and observability of two systems above is correspondence each other. It is shown by the property of homomorphisms and coprimeness.

Kata Kunci : Sistem Linear,Ring Komulatif,Keterkendalian, controllability, observability, coprimeness