Title :
An algebra test for unconditional stability of linear delay systems
Author :
Gu, Nong ; Tan, Min ; Yu, Wensheng
Author_Institution :
Inst. of Autom., Acad. Sinica, Beijing, China
Abstract :
Focuses on unconditional stability problems of a class of linear systems described by delay-differential equations with commensurate delays. An algebra test for unconditional stability of such systems is given. The proposed approach makes use of some results of the current study of complete discrimination systems. Based on such a test, an efficient online algorithm is also presented for numerical implementation. Note that delay margins of the system can also be computed in our algorithm when the delay-independent criterion fails
Keywords :
delay-differential systems; differential equations; linear systems; matrix algebra; stability; algebra test; commensurate delays; complete discrimination systems; delay differential systems; delay margins; delay-differential equations; linear delay systems; online algorithm; unconditional stability; Algebra; Delay systems; Equations; Intelligent control; Laboratories; Linear systems; Polynomials; Stability; Sufficient conditions; System testing;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980956