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 Email: pudji@math.itb.ac.id
Abstract. The behavior of a dynamical system, in Willems’s 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 Willems’s setting is also a behavior according to Fuhrmann’s.
Keywords: behavior; complete; linear system; shift invariant; trajectories.
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