Kojima, Chiaki (Kyoto Univ.), Takaba, Kiyotsugu (Kyoto Univ.)

A Lyapunov Stability Analysis of 2-D Discrete-Time Behaviors

Scheduled for presentation during the Mini-Symposium "Behavioral systems theory" (FrA11), Friday, July 28, 2006, 11:15−11:40, Room 104a

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 25, 2024

Abstract

This paper is concerned with a Lyapunov stability analysis of a two-dimensional (2-D) linear discrete-time system described by a high-order partial difference-algebraic equation in the behavioral framework. A sufficient condition for the asymptotic stability of the 2-D system is derived in terms of quadratic difference forms. This condition can be checked by solving the four-variable polynomial Lyapunov equation. Moreover, it is shown that the present condition is a generalization of some of the existing stability conditions for the Fornasini-Marchesini state-space model.