Variation paradigm for asymptotic gain of switched time-delay systems

Author

Han, Thanh-Trung ; Ge, Shuzhi Sam ; Lee, Tong Heng

Author_Institution

Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

3885

Lastpage

3890

Abstract

Variation paradigm is introduced for stability in terms of asymptotic gain of persistent dwell-time switched time-delay systems. The principle of small-variation small-state is conceived to formulate conditions on ultimate variations between end times of dwell-time switching intervals for convergence in these intervals. Trajectory convergence is then derived using evolutionary data in both retarded times and periods of persistence carried by functional state. Application to a consensus problem without all-time connectivity is presented.

Keywords

asymptotic stability; delays; asymptotic gain; persistent dwell-time systems; retarded times; small variation small state principle; stability; state consensus; switched time delay systems; trajectory convergence; Asymptotic stability; Communication switching; Convergence; Delay systems; Evolution (biology); Sufficient conditions; Switched systems; Systems engineering and theory; Timing; Switched systems; state consensus; time-delay systems; variation paradigm;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400026

Filename

5400026