Prof. Guido Izuta

Some Insights into Certain Kind of Asymptotically Stable Lagrange Solutions of 2-D Systems on the Grounds of Lie Algebra


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 analysis of 2-d (two-dimensional) discrete system whose state space representation is composed by two matrices generating a Lie algebra that is assumed to either have a mapping onto a null matrix or be solvable. Yet, Lagrange method for solving partial difference equations is adopted to pursue the conditions under which the system is asymptotically stable. In fact, this paper examines these conditions for systems with simultaneously diagonalizable and triangularizable matrices. Finally, it is worth noting that this work yields some new perspectives to the investigation of these kinds of systems.

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.