Title :
On robust stability of 2-D discrete systems
Author_Institution :
Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
fDate :
3/1/1995 12:00:00 AM
Abstract :
Presents a study on robust stability of two-dimensional (2-D) discrete systems in the Fornasini-Marchesini (F-M) state space setting. A measure of stability robustness of a stable F-M model is defined. The relation of this measure to its counterpart in the Roessor state space and related computational issues are addressed. Three lower bounds of the stability-robustness measure defined are derived using a one-dimensional parameterization approach and a 2-D Lyapunov approach. A numerical example is included to illustrate the main results obtained
Keywords :
Lyapunov methods; asymptotic stability; discrete systems; multidimensional systems; robust control; state-space methods; 2-D Lyapunov approach; 2-D discrete systems; Fornasini-Marchesini state space; Roessor state space; lower bounds; one-dimensional parameterization approach; robust stability; stability-robustness measure; Artificial intelligence; Equations; Lyapunov method; Robust stability; State-space methods; Subspace constraints; Sufficient conditions; Symmetric matrices; Uncertain systems; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
