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Guido Izuta

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Guido Izuta

WSEAS Transactions on Systems and Control

Print ISSN: 1991-8763
E-ISSN: 2224-2856

Volume 12, 2017

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

Volume 12, 2017

Asymptotic Stability Analysis of 2-D Discrete State Space Systems with Singular Matrix

AUTHORS: Guido Izuta

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ABSTRACT: The aim of this paper is to establish, on the basis of Lagrange method for solving partial difference equations, conditions under an asymptotic stability analysis procedure to investigate conditions for the existence of a solution to 2-D (two dimensional) discrete system whose state space representation is composed by a non-singular matrix. To accomplish it, the concept of generalized inverse of matrices and Jordan canonical transformation are applied on the original system and then Lagrange solutions to the transformed systems are pursued. Once the conditions are determined on the grounds of the transformed system and the existence conditions of solutions for this system is accomplished, the conditions for the original system is obtained by back transformation. A numerical example is given to show how the procedure works.

KEYWORDS: 2-D systems, analysis, asymptotic stability, Lagrange method


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WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 12, 2017, Art. #41, pp. 386-392

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