1,721,224 research outputs found
Grobner basis techniques for Laurent polynomial ideals and applications to multidimensional systems
No full textA solution of the Cauchy problem for multidimensional discrete linear shift-invariant systems
No full textAbstractWe propose a solution of the Cauchy problem for multidimensional linear shift-invariant systems over Zr that can be described by a set of multidimensional difference equations. We give a method for finding an initial condition structure. It consists in finding subsets of Zr where the signals can be given arbitrarily and where they fix the trajectory on the whole grid. Moreover we develop an efficient algorithm computing the whole trajectory, once given the initial conditions. For this purpose we develop some constructive techniques for Laurent polynomial modules
Causal input/output representation of 2D systems in the behavioral approach
No full textIn this paper the concept of causal input/output representation of two-dimensional (2D) systems in the behavioral approach is introduced. These representations provide an interesting connection between classical 2D systems theory and 2D systems theory in the behavioral approach. Some characterizations of such representations are presented. Finally, a technique that allows us to obtain causal input/output representations is proposed
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