Improved delay-range-dependent stability criterion for discrete-time systems with interval time-varying delay

Journal of Information and Computational Science

Volumn 8, Issue 14, 2011, Pages 3321-3328

  Zhang, Wei ^a   Wang, Jinghua ^a   Liang, Yan ^a   Han, Zhengzhi ^b  

^a SHANGHAI UNIVERSITY OF ENGINEERING SCIENCE   (China)

^b SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Delay range dependent stability; Discrete time systems; Interval time varying delay; Linear matrix inequality (Lmi); Lyapunov Krasovskii functional

Indexed keywords

DELAY-RANGE-DEPENDENT; DISCRETE TIME SYSTEM; FINITE-SUM INEQUALITY; FREE-WEIGHTING MATRICES; INTERVAL TIME-VARYING DELAYS; LINEAR MATRIX INEQUALITY (LMI); LYAPUNOV-KRASOVSKII FUNCTIONALS; MODEL TRANSFORMATION; NUMERICAL EXAMPLE;

DIGITAL CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; LINEAR TRANSFORMATIONS; LYAPUNOV FUNCTIONS; NUMERICAL METHODS; STABILITY CRITERIA; TIME VARYING CONTROL SYSTEMS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 84455195718     PISSN: 15487741     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. K. Gu, V. Kharitonov, J. Chen, Stability of Time-delay Systems, Birkhauser, Boston, 2003.
2. S. Xu, J. Lam, A survey of linear matrix inequality techniques in stability analysis of delay systems, International Journal System Science, 39 (2008) 1095-1113.
3. X. Liang, X. Liao, T. Wang, Delay-independent criteria of global exponential stability for Cohen-Grossberg neural networks with time-varying delays, Journal of Information and Computational Science, 6 (2009) 189-197.
4. X. Ding, S. Zhong, M. Ye, Stability analysis of a class of switching systems with the time-varying perturbations in the time delayed, Journal of Information and Computational Science, 5 (2008) 2011-2016.
5. H. Su, W. Zhang, Seconde-order consensus of multiple agents with coupling delay, Communications in Theoretical Physics, 51 (2009) 101-109.
6. E. Fridman, U. Shaked, Stability and guaranteed cost control of uncertain discrete delay systems, International Journal of Control, 78 (2005) 235-246.
7. P. Park, A delay-dependent stability criterion for systems with uncertain time-invariant delays, IEEE Transation on Automatic Control, 44, (1999) 876-877.
8. Y. S. Moon, P. Park, W. H. Kwon, Y. S. Lee, Delay-dependent robust stabilization of uncertain state-delayed systems, International Journal of Control, 74 (2001) 1447-1455.
9. Y. He, Q. Wang, C. Lin, M. Wu, Delay-range-dependent stability for systems with time-varying delay, Automatica, 43 (2007) 371-376.
10. Y. He, M. Wu, J. She, G. Liu, Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties, IEEE Transation on Automatic Control, 49 (2004) 828-832.
11. W. Zhang, X. S. Cai, Z. Z. Han, Robust stability criteria for systems with interval time-varying delay and nonlinear perturbations, Journal of Computational and Applied Mathematics, 234 (2010) 174-180.
12. H. Shao, Improved delay-dependent stability criteria for systems with a delay varying in a range, Automatica, 44 (2008) 3215-3218.
13. H. Shao, New delay-dependent stability criteria for systems with interval delay, Automatica, 45 (2009) 744-749.
14. B. Zhang, S. Xu, Y. Zou, Improved stability criterion and its applications in delayed controller design for discrete-time systems, Automatica, 44 (2008) 2963-2967.
15. H. Gao, T. Chen, New results on stability of discrete-time systems with time-varying state delay, IEEE Transation on Automatic Control, 52 (2007) 328-334.
16. H. Gao, J. Lam, C. Wang, Y. Wang, Delay dependent output feedback stabilization of discrete-time systems with time-varying state delay, IEE Proceedings of Control Theory & Applications, 151 (2004) 691-698.
17. X. Jiang, Q. Han, X. Yu, Stability criteria for linear discrete-time systems with interval-like time-varying delay, In Proceedings of the American Control Conference, Portland, 2005, pp. 2817-2822.
18. W. Zhang, Q. Y. Xie, X. S. Cai, Z. Z. Han, New stability criteria for discrete-time systems with interval time-varying delay and polytopic uncertainty, Latain American Applied Research, 40 (2010) 119-124.
19. X. Jiang, Q. Han, New stability criteria uncertain linear systems with interval time-varying delay, Automatica, 44 (2008) 2680-2685.