Title :
Stability condition of distributed delay systems based on the analytic solution of Lyapunov functional equations
Author_Institution :
Dept. fo Control & Instrum. Eng., Ulsan Univ., South Korea
Abstract :
An analytic solution of Lyapunov functional equations of distributed delay systems is derived. The analytic solution is computed using a matrix exponential function, while conventional computation has been relied on numerical approximations. Based on the analytic solution, a stability condition for distributed delay systems with unknown but bounded constant delay is proposed
Keywords :
Lyapunov methods; delay systems; distributed parameter systems; functional equations; matrix algebra; stability criteria; Lyapunov functional equations; analytic solution; distributed delay systems; stability condition; unknown bounded constant delay; Control systems; Delay systems; Differential equations; Instruments; Kernel; Lyapunov method; Matrix decomposition; Partial differential equations; Singular value decomposition; Stability analysis;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.914237
