Title :
On stability analysis of 2-D systems based on 2-D Lyapunov matrix inequalities
Author_Institution :
Dept. of Mech. Eng., Nagoya Inst. of Technol., Japan
fDate :
8/1/2000 12:00:00 AM
Abstract :
A sufficient condition for the stability of two-dimensional (2-D) systems described in the Fornasin-Marchesini model is presented in a succinct form. The condition is expressed as a Lyapunov-like matrix inequality involved with the parallel addition of two positive definite matrices
Keywords :
Lyapunov matrix equations; multidimensional systems; stability; 2D Lyapunov matrix inequalities; 2D systems; Fornasin-Marchesini model; parallel addition; positive definite matrices; stability analysis; sufficient condition; two-dimensional systems; Eigenvalues and eigenfunctions; Linear matrix inequalities; Lyapunov method; Mechanical engineering; Polynomials; Robust stability; Stability analysis; Sufficient conditions; Symmetric matrices; Two dimensional displays;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
