Title :
On the stability and robustness of time-delay systems
Author :
Xu, S.J. ; Rachid, A.
Author_Institution :
Univ. Picardie Jules Verne, Amiens, France
Abstract :
The present paper investigates the stability and robustness problem of uncertain time delay systems described by vector-matrix differential-difference equations. Using the concept of value field of the matrix, the original problem is transformed into that of the interval polynomials with complex coefficients. The Kharitonov theorem is then used to test the Hurwitz property of the obtained family of polynomials
Keywords :
delay systems; difference equations; matrix algebra; polynomials; robust control; uncertain systems; Hurwitz property; Kharitonov theorem; interval polynomials; robustness; stability; uncertain time delay systems; value field; vector-matrix differential-difference equations; Asymptotic stability; Delay effects; Differential equations; Matrix decomposition; Polynomials; Robust stability; Robustness; State-space methods; Sufficient conditions; System testing;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.480349
