Robust stochastic stabilization and H∞ control for neutral stochastic systems with distributed delays

Circuits, Systems, and Signal Processing

Volumn 30, Issue 2, 2011, Pages 287-301

  Qiu, Jiqing ^a   He, Haikuo ^a,b   Shi, Peng ^c,d  

^a HEBEI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b CHENGDE PETROLEUM COLLEGE   (China)

^c UNIVERSITY OF GLAMORGAN   (United Kingdom)

^d VICTORIA UNIVERSITY   (Australia)

Author keywords

Control; Delay dependent; Distributed delays; H ; Neutral stochastic systems

Indexed keywords

ADMISSIBLE PARAMETERS; ASYMPTOTICALLY STABLE; DELAY DEPENDENT CRITERION; DELAY-DEPENDENT; DISTRIBUTED DELAYS; LINEAR MATRIX INEQUALITY APPROACH; MEAN SQUARE; NEUTRAL STOCHASTIC SYSTEMS; NUMERICAL EXAMPLE; PARAMETRIC UNCERTAINTIES; ROBUST STABILIZATION; STATE FEEDBACK CONTROLLER; STOCHASTIC STABILIZATION; SUFFICIENT CONDITIONS;

LINEAR MATRIX INEQUALITIES; STABILIZATION; STATE FEEDBACK; STOCHASTIC SYSTEMS;

STOCHASTIC CONTROL SYSTEMS;

EID: 79960042355     PISSN: 0278081X     EISSN: 15315878     Source Type: Journal    
DOI: 10.1007/s00034-010-9222-4     Document Type: Article

References (19)

1. S. Boyd, L.E. Ghaoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory (SIAM, Philadelphia, 1994)
2. G. Chen, Y. Shen, Robust H∞ filter design for neutral stochastic uncertain systems with time-varying delay. J. Math. Anal. Appl. 353, 196-204 (2009)
3. H. Huang, G. Feng, Delay-dependent stability for uncertain stochastic neural networks with timevarying delay. Physica A 38, 93-103 (2007) (Pubitemid 46829678)
4. C. Gong, B. Su, Delay-dependent robust stabilization for uncertain stochastic fuzzy system with timevarying delays. Int. J. Innov. Comput. Inf. Control 5, 1429-1440 (2009)
5. O.M. Kwon, J.H. Park, S.M. Lee, On stability criteria for uncertain delay-differential systems of neutral type with time-varying delays. Appl. Math. Comput. 197, 864-873 (2008) (Pubitemid 351284570)
6. C. Lu, W. Shyr, K. Yao, C. Liao, C. Huang, Delay-dependent H∞ control for discrete-time uncertain recurrent neural networks with interval time-varying delay. Int. J. Innov. Comput. Inf. Control 5, 3483-3494 (2009)
7. H. Shu, G. Wei, H∞ analysis of nonlinear stochastic time-delay systems. Chaos Solitons Fractals 26, 637-647 (2005) (Pubitemid 40654981)
8. W. Sun, Y. Chen, Global asymptotic stability analysis for neutral stochastic neural networks with time-varying delays. Commun. Nonlinear Sci. Numer. Simul. 14, 1576-1581 (2009)
9. Z. Tai, X. Wang, D. Wang, Robust stability analysis of uncertain neutral functional systems. Int. J. Innov. Comput. Inf. Control 5, 3013-3024 (2009)
10. Z. Tai, X. Wang, D. Wang, Stability criteria of uncertain neutral systems with time-varying delays. ICIC Express Lett. 3, 225-232 (2009)
11. Z. Tai, X.Wang, Real stability radius of nonlinear neutral systems with multiple delays. ICIC Express Lett. 4, 121-124 (2010)
12. G. Wei, Z. Wang, H. Shu, J. Fang, Delay-dependent stabilization of stochastic interval delay systems with nonlinear disturbances. Syst. Control Lett. 56, 623-633 (2007) (Pubitemid 47081212)
13. S. Xu, T. Chen, H∞ output feedback control for uncertain stochastic systems with time varying delays. Automatica 40, 2091-2098 (2004)
14. S. Xu, P. Shi, Y. Chu, Y. Zou, Robust stochastic stabilization and H∞ control of uncertain neutral stochastic time-delay systems. J. Math. Anal. Appl. 314, 1-16 (2006) (Pubitemid 41762108)
15. H. Yan, X. Huang, H. Zhang, M.Wang, Delay-dependent robust stability criteria of uncertain stochastic systems with time-varying delay. Chaos Solitons Fractals 40, 1668-1679 (2009)
16. J. Yu, K. Zhang, S. Fei, Further results on mean square exponential stability of uncertain stochastic delayed neural networks. Commun. Nonlinear Sci. Numer. Simul. 14, 1582-1589 (2009)
17. R. Yang, P. Shi, H. Gao, A new delay-dependent stability criterion for stochastic systems with time delays. IET Control Theory Appl. 2, 966-973 (2008)
18. J. Zhang, P. Shi, J. Qiu, H. Yang, A new criterion for exponential stability of uncertain stochastic neural networks with mixed delays. Math. Comput. Modell. 47, 1042-1051 (2008) (Pubitemid 351470057)
19. J. Zhang, P. Shi, J. Qiu, Robust stability criteria for uncertain neutral system with time delay and nonlinear uncertainties. Chaos Solitons Fractals 38, 160-167 (2008) (Pubitemid 351503978)