DOI Number : 10.5614/
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Behavior for Time Invariant Finite Dimensional Discrete Linear Systems

Sisilia Sylviani, Hanni Garminia & Pudji Astuti

Algebra Research Group,  Faculty of Mathematics and Natural Sciences
Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia

Abstract. The behavior of a dynamical system, in Willemsís point of view, is the set of all trajectories of the system. Fuhrmann defines a behavior as a linear, shift invariant, and complete subspace of z-1Fm[[z-1]], the vector space consisting of power series in z-1 with coefficients in signal space W=Fm. In this paper we show that the behavior of a finite dimensional, time invariant discrete linear system in Willemsís setting is also a behavior according to Fuhrmannís.

Keywords: behavior; complete; linear system; shift invariant; trajectories.

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