Title :
Stability and the matrix Lyapunov equation for differential systems with delays
Author_Institution :
Dept. de Electr. y Electron., Univ. del Pais Vasco, Leioa, Spain
Abstract :
The author establishes sufficient conditions for the stability of linear and time-variant delay differential systems including their various usual subclasses (i.e., point, distributed, and mixed point-distributed delay systems). Sufficient conditions for stability are obtained in terms of the Schur complement of operators and the frequency-domain Lyapunov equation
Keywords :
Lyapunov methods; delay-differential systems; linear systems; stability; Schur complement of operators; distributed delay systems; frequency-domain Lyapunov equation; linear systems; matrix Lyapunov equation; mixed point-distributed delay systems; point delay systems; stability; time-variant delay differential systems; Delay effects; Delay lines; Delay systems; Differential equations; Feedback; Laplace equations; Riccati equations; Stability; Sufficient conditions; Symmetric matrices;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371712
