Novel delay-derivative-dependent stability criteria using new bounding techniques

International Journal of Robust and Nonlinear Control

Volumn 23, Issue 13, 2013, Pages 1419-1432

  Zhang, Xian Ming ^a   Han, Qing Long ^a  

^a CENTRAL QUEENSLAND UNIVERSITY   (Australia)

Author keywords

bounding technique; delay derivative dependent stability; integral inequality; interval time varying delay; stability

Indexed keywords

BOUNDING TECHNIQUES; CONVEX APPROACH; INTEGRAL INEQUALITIES; INTEGRAL TERMS; INTERVAL TIME-VARYING DELAYS; LYAPUNOV-KRASOVSKII FUNCTIONALS; NUMERICAL EXAMPLE; TIME-VARYING DELAY;

CONVERGENCE OF NUMERICAL METHODS; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; TIME VARYING CONTROL SYSTEMS;

STABILITY CRITERIA;

EID: 84880326449     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.2829     Document Type: Article

References (22)

1. Zeng HB, He Y, Wu M, Xiao SP,. Absolute stability and stabilization for Lurie networked control systems. International Journal of Robust and Nonlinear Control. Article in Press. DOI: 10.1002/rnc.1658.
2. Jiang X, Han QL,. New stability criteria for linear systems with interval time-varying delay. Automatica 2008; 44: 2680-2685.
3. Wu M, Feng ZY, He Y, She JH,. Improved delay-dependent absolute stability and robust stability for a class of nonlinear systems with a time-varying delay. International Journal of Robust and Nonlinear Control 2010; 20: 694-702.
4. Sun J, Liu GP, Chen J,. Delay-dependent stability and stabilization of neutral time-delay systems. International Journal of Robust and Nonlinear Control 2009; 19: 1364-1375.
5. Liu JL, Yue D,. Asymptotic and robust stability of T-S fuzzy genetic regulatory networks with time-varying delays. International Journal of Robust and Nonlinear Control Article in Press. DOI: 10.1002/rnc.1729.
6. Han QL, Yue D,. Absolute stability of Lur'e systems with time-varying delay. IET Control Theory and Applications 2007; 1: 854-859. (Pubitemid 46738202)
7. Shao H,. Improved delay-dependent stability criteria for systems with a delay varying in a range. Automatica 2008; 44: 3215-3218.
8. Shao H,. New delay-dependent stability criteria for systems with interval delay. Automatica 2009; 45: 744-749.
9. Pepe P,. The problem of the absolute continuity for Lyapunov-Krasovskii functionals. IEEE Transactions on Automatic Control 2007; 52: 953-957. (Pubitemid 46796087)
10. Fridman E, Shaked U, Liu K,. New conditions for delay-derivative- dependent stability. Automatica 2009; 45: 2723-2727.
11. Zhu XL, Yang GH,. Jensen integral inequality approach to stability analysis of continuous-time systems with time-varying delay. IET Control Theory and Applications 2008; 2: 524-534.
12. Zhang XM, Han QL,. Stability of linear systems with interval time-varying delays arising from networked control systems. Proceedings of IEEE Conference on Industrial Electronics, Phoenix, USA, 2010; 225-230.
13. Park PG, Ko JW, Jeong C,. Reciprocally convex approach to stability of systems with time-varying delays. Automatica 2011; 47: 235-238.
14. Han QL,. Absolute stability of time-delay systems with sector-bounded nonlinearity. Automatica 2005; 41: 2171-2176.
15. Zhang XM, Han QL,. A new stability criterion for a partial element equivalent circuit model of neutral type. IEEE Transactions on Circuits and Systems II: Express Briefs 2009; 56: 798-802.
16. Park PG, Ko JW,. Stability and robust stability for systems with a time-varying delay. Automatica 2007; 43: 1855-1858.
17. Gu K, Kharitonov L, Chen J,. Stability of Time-delay Systems. Birkhäuser: Boston, 2003.
18. Zhang XM, Wu M, Han QL, He Y,. A new integral inequality appraoch to dela-dependent robust H control. Asian Journal of Control 2006; 8: 153-160. (Pubitemid 44171787)
19. Han QL,. A discrete delay decomposition approach to stability of linear retarded and neutral systems. Automatica 2009; 45: 1948-1952.
20. Han QL,. New results for delay-dependent stability of linear systems with time-varying delay. International Journal of Systems Science 2002; 33: 213-228.
21. Han QL,. Robust stability for a class of linear systems with time-varying delay and nonlinear perturbations. Computers & Mathematics with Applications-An International Journal 2004; 47: 1201-1209.
22. Han QL, Yu L,. Robust stability of linear neutral systems with nonlinear parameter perturbations. IEE Proceedings-Control Theory and Applications 2004; 151: 539-546.