Title :
The importance of bounded real and positive real functions in the stability analysis of 2-D system
Author :
Agathoklis, P. ; Jury, E.I. ; Mansour, M.
Author_Institution :
Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
Abstract :
The necessary and sufficient conditions for the existence of positive definite solutions for the 2-D Lyapunov equation for 2-D discrete, 2-D continuous, and differential-delay systems are presented. It is shown that these conditions are related to the strictly positive real and strictly bounded real conditions. The relationship between these conditions and the stability ones is also discussed
Keywords :
Lyapunov methods; delays; multidimensional systems; stability; 2-D system; 2D continuous systems; 2D discrete systems; bounded real conditions; differential-delay systems; positive real functions; stability analysis; Automatic control; Continuous time systems; Delay systems; Equations; Industrial electronics; Polynomials; Stability analysis; State-space methods; Sufficient conditions; Testing;
Conference_Titel :
Circuits and Systems, 1991., IEEE International Sympoisum on
Print_ISBN :
0-7803-0050-5
DOI :
10.1109/ISCAS.1991.176289
