Title :
The Lyapunov equation for n-dimensional discrete systems
Author_Institution :
Dept. of Electr. Eng., Victoria Univ., BC, Canada
fDate :
4/1/1988 12:00:00 AM
Abstract :
The necessary and sufficient conditions for the existence of positive definite solutions to the n-D Lyapunov equation are presented. It is shown that there exist n-D stable systems for which no positive definite solutions to the n-D Lyapunov equation exist. Furthermore, it is pointed out that some results on the 2-D Lyapunov equation cannot be extended to either the three- or higher-dimensional case
Keywords :
Lyapunov methods; control system analysis; discrete systems; multidimensional systems; stability; Lyapunov equation; discrete systems; multidimensional systems; n-D equation; necessary and sufficient conditions; positive definite solutions; stable systems; Circuit stability; Circuits and systems; Equations; Multidimensional systems; Polynomials; Sufficient conditions; Symmetric matrices;
Journal_Title :
Circuits and Systems, IEEE Transactions on
