On dissipativity and stabilization of time-delay stochastic systems with switching control

Nonlinear Analysis: Real World Applications

Volumn 12, Issue 4, 2011, Pages 2031-2039

  Wu, Yonghong ^a   Guan, Zhi Hong ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Dissipativity; Exponential stability; Stochastic systems; Time delays

Indexed keywords

DISSIPATIVITY; EXPANSIVE PROPERTY; EXPONENTIAL STABILITY; EXPONENTIAL STABILIZATION; LYAPUNOV FUNCTIONALS; SIMULATION EXAMPLE; STABILIZATION PROBLEMS; SUFFICIENT CONDITIONS; SUPPLY RATE; SWITCHING CONTROL; SWITCHING CONTROLLERS; SYSTEMS WITH TIME DELAY; THEORETICAL RESULT; TIME-DELAY STOCHASTIC SYSTEMS;

EXPONENTIAL FUNCTIONS; STABILIZATION; STOCHASTIC SYSTEMS; SYSTEM STABILITY;

TIME DELAY;

EID: 79955522743     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2010.12.019     Document Type: Article

References (25)

1. J.C. Willems Dissipative dynamical systems, Part 1: general theory Arch. Ration. Mech 45 1972 321 351
2. J.C. Willems Dissipative dynamical systems, Part 2: quadratic supply rates Arch. Ration. Mech 45 1972 359 393
3. I.G. Polushin, and H.J. Marquez On the existence of a continuous storage function for dissipative systems Syst. Control Lett. 46 2002 85 92
4. D.J. Hill, and P.J. Moylan The stability of nonlinear dissipative systems IEEE Trans. Automat. Control 21 1976 708 711
5. D.J. Hill, and P.J. Moylan Connection between finite gain and asymptotic stability IEEE Trans. Automat. Control 25 1980 931 936
6. W.M. Haddad, V.S. Chellabonia, Dissipativity theory and stability of feedback interconnections for hybrid dynamical systems, in: Proc. Amer. Contr. Conf., Chichago, 2000, pp. 26882694.
7. V.S. Chellabonia, W.M. Haddad, and A. Kamath A dissipative dynamical systems approach to stability analysis of time delay systems Int. J. Robust Nonlinear Control 15 2005 25 33 (Pubitemid 40002574)
8. W.M. Haddad, V. Chellaboina, and T. Rajpurohit Dissipativity theory for nonnegative and compartmental dynamical systems with time delay IEEE Trans. Automat. Control 49 2004 747 751
9. J. Zhao, and D.J. Hill Dissipativity theory for switched systems IEEE Trans. Automat. Control 53 2008 941 953 (Pubitemid 351795854)
10. J. Yao, Z.H. Guan, and D.J. Hill Passivity-based control and synchronization of general complex dynamical networks Automatica 45 2009 2107 2113
11. H. Zhang, Z.H. Guan, and G. Fang Reliable dissipative for stochastic impulsive systems Automatica 44 2008 1004 1010
12. P.V. Parkshin Exponential dissipativity of the random structure diffusion processes and problems of robust stabilization Autom. Remote Control 68 2007 1852 1870
13. V. Chellaboina, S.P. Bhat, W.M. Haddad, An invariance principle for nonlinear hybrid and impulsive dynamical systems, in: Proc. Amer. Contr. Conf., 2000, pp. 6183.
14. V. Chellaboina, and W.M. Haddad Exponentially dissipative nonlinear dynamical systems: a nonlinear extension of strict positive realness Math. Probl. Eng. 1 2003 25 45 (Pubitemid 37538970)
15. U.H. Thygesen, On dissipation in stochastic systems, in: Proc, in: Proc. Amer. Contr. Conf., 1999, pp. 14301434.
16. V.S. Borkar, and S.K. Mirrer A note on stochastic dissipativeness, in directions in mathematical systems theory and optimization Lecture Notes in Control Inform. vol. 286 2003 Springer Berlin 41 49
17. P. Park, and J.W. Ko Stability and robust stability for systems with a time-varying delay Automatica 43 2007 1855 1858 (Pubitemid 47381431)
18. H∞ analysis for time-delay systems with Markovian jumping parameters J. Franklin Inst. 340 2003 423 434
19. Z. Yang, and D. Xu Stability analysis and design of impulsive control systems with time-delay IEEE Trans. Automat. Control 52 2007 1448 1454 (Pubitemid 47316692)
20. M.A. Rami, and L.E. Ghaoui LMI optimization for nonstandard Riccati equation arising in stochastic control IEEE Trans. Automat. Control 41 1996 1666 1671
21. X. Mao Exponential stability of stochastic delay interval systems with Markovian switching IEEE Trans. Automat. Control 47 2002 1604 1612 (Pubitemid 35298547)
22. X. Mao, G.G. Yin, and C. Yuan Stabilization and destabilization of hybrid systems of stochastic differential equations Automatica 43 2007 264 273 (Pubitemid 46037601)
23. Y. Ji, and H.J. Chizeck Controllability stabilizability and continuous time Markovian jump linear quadratic control IEEE Trans. Automat. Control 35 1990 777 788 (Pubitemid 20726183)
24. I.Ya. Kats Method of the Lyapunov Functions in the Problems of Stability and Stabilization of the Random structure Systems 1998 Ural. Gos. Akad. Putei Soobshch Ekaterinburg
25. Z.H. Guan, D.J. Hill, and X. Shen Hybrid Impulsive and switching systems and application to control and synchronization IEEE Trans. Automat Control 50 2005 1058 1062 (Pubitemid 41078411)