Title :
On global stability of a linear time-varying system in the presence of two kinds of local instabilities
Author :
Tong, Wen ; Plotkin, Eugene I. ; Swamy, M.N.S.
Author_Institution :
Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Que., Canada
Abstract :
In this paper, we introduce two new types of local instabilities which exclusively pertain to a linear time-varying (LTV) system. Investigation of these local instabilities has lead to new necessary and sufficient conditions for a LTV system to be globally stable. It is shown that a direct extension of the stability conditions of a linear time-invariant (LTI) system is not applicable to a LTV system. The admissible area for a set of coefficients of a globally stable LTV system has been established and this area is found to be much larger than its LTI system counterpart
Keywords :
linear systems; poles and zeros; stability; time-varying systems; transfer functions; LTV system; admissible area; global stability; linear time-varying system; local instabilities; Eigenvalues and eigenfunctions; Lyapunov method; Matrix converters; Stability; Sufficient conditions; System testing; Time domain analysis; Time varying systems;
Conference_Titel :
Circuits and Systems, 1994., Proceedings of the 37th Midwest Symposium on
Conference_Location :
Lafayette, LA
Print_ISBN :
0-7803-2428-5
DOI :
10.1109/MWSCAS.1994.519056
