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Pudji Astuti
Algebra Research Group, Faculty of Mathematics and Natural Sciences Institut Teknologi Bandung
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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Behavior for Time Invariant Finite Dimensional Discrete Linear Systems Sisilia Sylviani; Hanni Garminia; Pudji Astuti
Journal of Mathematical and Fundamental Sciences Vol. 45 No. 1 (2013)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2013.45.1.4

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.
Co-Authors Hanni Garminia Sisilia Sylviani