Title :
Algebraic necessary and sufficient conditions for the stability of 2-D discrete systems
Author :
Agathoklis, P. ; Jury, E.I. ; Mansour, Mohamed
Author_Institution :
Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
fDate :
4/1/1993 12:00:00 AM
Abstract :
Algebraic necessary and sufficient conditions for the stability analysis of 2-D discrete systems are presented. These conditions are based on the frequency-dependent formulation of the Lyapunov equation using Kronecker products. It is shown that these conditions for internal stability of 2-D discrete systems are equivalent to testing the eigenvalues of constant matrices only
Keywords :
Lyapunov methods; discrete systems; multidimensional systems; stability; 2D discrete systems; Kronecker products; Lyapunov equation; eigenvalues; frequency-dependent formulation; stability; Circuit stability; Continuous time systems; Digital signal processing; Eigenvalues and eigenfunctions; Equations; Frequency dependence; Polynomials; Stability analysis; Sufficient conditions; Testing;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
