Prof. Guido Izuta

Asymptotic Stability of Partial Difference Equations Systems with Singular Matrix


Prof. Guido Izuta

Yonezawa Women's College
Department of Social Information Science
6-15-1 Toori Machi, Yonezawa
Yamagata, 990-0025 Japan
izuta@yone.ac.jp

Abstract: This paper is concerned with the asymptotic stability of 2-d (two dimensional) discrete control system expressed by a set of partial difference equations composed by a singular matrix. The aim is to establish the conditions under which the system is asymptotically stable. In order to pursue this purpose, the system is first augmented by means of the orthonormal matrix, then the Lagrange method for solving partial difference equations is considered to examine the stability of the overall system. Finally, a numerical example is presented to show how to use the testing procedure suggested here.

Biography: Guido Izuta graduated from University of Sao Paulo, Brazil, in electrical engineering, and pursued his PhD degree in automatic control engineering at Yamagata University, Japan. He is currently a Professor of computer and information science at YWJC Yamagata, Japan; and prior to this job he held academic positions at Aomori University and Yamagata University, both in Japan.
His research interests include theoretical aspects of stability of multi-dimensional systems, networked control systems, control design of time-delayed times, and robust control.