The authors gratefully acknowledge that this work was supported by Fundaçãopara a Ciência e Tecnologia (FCT). They are also very grateful to one of the anonymous referees for his her comments and suggestions which led to significant improvements.

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Abstract

In this paper we study linear discrete two-dimensional systems in the behavioral context where control is viewed as interconnection. Within this framework the natural concept of regular interconnection has been introduced by J.C.Willems. Here we investigate regular interconnections that yield finite dimensional behaviors using tools previously developed to analyze almost implementation problems. We prove that when a finite dimensional (sub-) behavior can be achieved from a given behavior by regular interconnection then the controllable part of the original behavior is rectifiable, moreover, in this case all the other sub-behaviors are almost regularly implementable. We apply these results to characterize all stabilizable behaviors. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society

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Volume12, Issue2

Special Issue on “Recent Developments in Multidimensional Systems, Control and Signals – Theory and Applications”

March 2010

Pages 127-135

Strongly autonomous interconnections and stabilization of 2D behaviors^†

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Strongly autonomous interconnections and stabilization of 2D behaviors†

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Strongly autonomous interconnections and stabilization of 2D behaviors^†