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ArticleOriginal scientific text

Title

Positivity and stabilization of 2D linear systems

Authors 1

Affiliations

  1. Białystok Technical University, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Białystok

Abstract

The problem of finding a gain matrix of the state-feedback of 2D linear system such that the closed-loop system is positive and asymptotically stable is formulated and solved. Necessary and sufficient conditions for the solvability of the problem are established. It is shown that the problem can be reduced to suitable linear programming problem. The proposed approach can be extended to 2D linear system described by the 2D Roesser model.

Keywords

ENG
linear 2D systems, general model, positivity, stabilization, state-feedback

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2009/29/1
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Pages:
43-52
Main language of publication
English
Received
2009-03-05
Published
2009

DOI: 10.7151/dmdico.1103

Exact and natural sciences