Title :
Algebraic necessary and sufficient conditions for the stability of 2-D discrete systems
Author :
Agathoklis, P. ; Jury, E.I. ; Mansour, M.
Author_Institution :
Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
Abstract :
Algebraic necessary and sufficient conditions for the stability analysis of 2-D discrete systems are presented. These conditions are developed based on the frequency-dependent formulation of the Lyapunov equation using Kronecker products. It is shown that these necessary and sufficient conditions for internal stability of 2-D discrete systems are equivalent to testing the eigenvalues of constant matrices. This is a simplification over earlier tests which require testing the positivity of one or more functions of ω for all ω ε[0,2π]
Keywords :
Lyapunov methods; discrete systems; multidimensional systems; stability; 2D discrete systems; Kronecker products; Lyapunov equation; constant matrices; eigenvalues; frequency-dependent formulation; internal stability; positivity; stability; Automatic control; Eigenvalues and eigenfunctions; Equations; Frequency dependence; Industrial electronics; Polynomials; Stability analysis; Sufficient conditions; System testing;
Conference_Titel :
Circuits and Systems, 1991., IEEE International Sympoisum on
Print_ISBN :
0-7803-0050-5
DOI :
10.1109/ISCAS.1991.176408
