Title :
Delay-dependent stability analysis of linear system with multiple state delays
Author :
Dey, Rajeeb ; Ghosh, Sandip ; Ray, Goshaidas
Author_Institution :
Dept. of Electr. Eng., Indian Inst. of Technol., Kharagpur
Abstract :
Delay-dependent stability analysis of systems with multiple time-varying delays is considered. A smaller dimensional linear matrix inequality (LMI) involving less number of matrix variables compared to the method of He et al. 2004 is derived, which offers less constrained LMI and hence it is numerically advantageous. The results of this paper are illustrated by considering numerical examples and compared with existing approaches, which shows the effectiveness of the proposed stability criteria in terms of conservativeness in delay bound and also bears less computational complexity.
Keywords :
delay systems; linear matrix inequalities; linear systems; stability; stability criteria; time-varying systems; LMI; computational complexity; delay-dependent stability analysis; linear matrix inequality; linear system; matrix variables; multiple state delays; stability criteria; Computational complexity; Delay effects; Delay systems; Helium; Information systems; Linear matrix inequalities; Linear systems; Stability analysis; Stability criteria; Time varying systems; Delay-dependent stability; Linear matrix inequality; Lyapunov-Krasovskii functional; Time-varying delay;
Conference_Titel :
Industrial and Information Systems, 2007. ICIIS 2007. International Conference on
Conference_Location :
Penadeniya
Print_ISBN :
978-1-4244-1151-1
Electronic_ISBN :
978-1-4244-1152-8
DOI :
10.1109/ICIINFS.2007.4579184
