Robust H∞ control of uncertain linear impulsive stochastic systems

International Journal of Robust and Nonlinear Control

Volumn 18, Issue 13, 2008, Pages 1348-1371

  Chen, Wu Hua ^a   Wang, Jun Ge ^a   Tang, You Jian ^a   Lu, Xiaomei ^a  

^a College of Mathematics and Information Science ^*  (China)

Author keywords

H control; Impulsive systems; Linear matrix inequality; Mean square exponential stability; Stochastic systems

Indexed keywords

IMPULSIVE SYSTEMS; LINEAR MATRIX INEQUALITY; MEAN-SQUARE EXPONENTIAL STABILITY; ROBUST H; ROBUST STABILITY; STOCHASTIC SYSTEMS;

EID: 49749106689     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.1286     Document Type: Article

References (21)

1. Deo SG, Pandit SG. Differential Systems Involving Impulses. Springer: New York, 1982.
2. Bainov DD, Simeonov PS. Systems with Impulse Effect: Stability, Theory and Applications. Ellis Horwood: Chichester, 1989.
3. Yang T. Impulsive Systems and Control: Theory and Applications. Nova Science: New York, 2001.
4. Li ZG, Soh CB, Xu XH. Stability of impulsive differential systems. Journal of Mathematical Analysis and Applications 1997; 216(2):644-655.
5. Li ZG, Wen CY, Soh YC. Analysis and design of impulsive control systems. IEEE Transactions on Automatic Control 2001; 46(6):894-897.
6. Liu X, Ballinger G. Uniform asymptotic stability of impulsive delay differential equations. Computers and Mathematics with Applications 2001; 41(7-8):903-915.
7. Hui Y, Anthony NM, Ling H. Stability analysis of systems with impulsive effects. IEEE Transactions on Automatic Control 1998; 43(12): 1719-1723.
8. Hespanha JP, Liberzon D, Teel A. On input-to-state stability of impulsive system. Proceedings of CDC-ECC05, Seville, Spain, December 2005; 3992-3997.
9. Haddad WM, Chellaboina V, Kablar NA. Non-linear impulsive dynamical systems. Part I: stability and dissipativity. International Journal of Control 2001; 74(17):1631-1658.
10. ∞ control of singular impulsive systems with uncertain perturbations. IEEE Transactions on Circuits and Systems II 2005; 52(6):293-298.
11. ∞, control of singular-impulsive systems via switching control. Systems and Control Letters 2006; 55(11):879-886.
12. Hao F, Chu T, Wang L, Huang L. An LMI approach to persistent bounded disturbance rejection for uncertain impulsive systems. IEEE Transactions on Circuits and Systems II 2003; 50(6):785-788.
13. Hasminskii KL. Stochastic Stability of Differential Equations. Sijtjoff and Noordhoff: Alphen, 1980.
14. Mao X. Stochastic Differential Equations and their Applications. Horwood Publishing: Chichester, 1997.
15. Wu S, Han D, Meng X. p-Moment stability of stochastic differential equations with jumps. Applied Mathematics and Computation 2004; 152(2):505-519.
16. Wu H, Sun J. p-Moment stability of stochastic differential equations with impulsive jump and Markovian switching. Automatica 2006; 42(10): 1753-1759.
17. Wang Y, Xie L, de Souza CE. Robust control of a class of uncertain nonlinear system. Systems and Control Letters 1992; 19(2): 139-149.
18. Hespanha JP, Morse AS. Stability of switched systems with average dwell-time. Proceedings of the 38th IEEE Conference on Decision and Control, Seville, Spain, 12-15 December 2005; 2655-2660.
19. Morse As. Supervisory control of families of linear set-point controllers. Part I. Exact matching. IEEE Transactions on Automatic Control 1996; 41(10):1413-1431.
20. Hespanha JP. Uniform stability of switched linear systems: extensions of LaSalles invariance principle. IEEE Transactions on Automatic Control 2004; 49(4):470-482.
21. Boyd S, EI Ghaoui L, Feron E, Balakrishnan V. Linear Matrix Inequalities in Systems and Control Theory. SIAM: Philadelphia, PA, 1994.