Title :
Stability of positive 2-D system described by the Roesser model
Author_Institution :
Instytut Automatyki i Robotyki, Politechnika Warszawska, Warsaw, Poland
fDate :
4/1/2002 12:00:00 AM
Abstract :
The author considers the stability problem for positive two-dimensional systems described by the Roesser model. Necessary and sufficient conditions for system stability and asymptotic stability are given. The conditions for asymptotic stability of the system are very simple, one has to check only eigenvalues of two matrices
Keywords :
asymptotic stability; eigenvalues and eigenfunctions; matrix algebra; multidimensional systems; Roesser model; asymptotic stability; eigenvalues; positive 2D system; positive two-dimensional systems; stability problem; system stability; Asymptotic stability; Controllability; Digital filters; Eigenvalues and eigenfunctions; Filtering; Image processing; Partial differential equations; Power generation economics; Sufficient conditions; Two dimensional displays;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
