On Stability Robustness of 2-D Systems Described by theFornasini–Marchesini Model

Authors:
Tatsushi Ooba
Affiliations:
Department of Mechanical Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466-8555, Japan.
Venue:
Multidimensional Systems and Signal Processing
Year:
2001

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Abstract

This paper studies the stability robustness estimates of two-dimensional(2-D) dynamics in the Fornasini–Marchesini model. It isstressed that the use of 2-D Lyapunov matrix inequality is limitedin application to the stability robustness estimate problem.Two alternative ways to estimate the stability robustness ofa 2-D dynamics are proposed. These are applicable in any stable2-D dynamics. The comparison between the stability robustnessestimate by the 2-D Lyapunov matrix inequality and those presentedin this paper is illustrated by a numerical example.