H∞ filtering for a class of stochastic Markovian jump systems with impulsive effects

International Journal of Robust and Nonlinear Control

Volumn 18, Issue 1, 2008, Pages 1-13

  Dong, Yuewu ^a   Sun, Jitao ^a   Wu, Qidi ^a  

^a TONGJI UNIVERSITY   (China)

Author keywords

H filtering; Impulsive system; Linear matrix inequality; Markovian jump; Sampled measurements; Stochastic system

Indexed keywords

ERROR ANALYSIS; LINEAR MATRIX INEQUALITIES; NUMERICAL METHODS;

IMPULSIVE SYSTEM; SAMPLED MEASUREMENTS; STOCHASTIC SYSTEM;

MARKOV PROCESSES;

EID: 38049134756     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.1194     Document Type: Article

References (23)

1. Bainov DD, Simeonov PS. Systems with Impulse Effect: Stability Theory tnul Applications. Halsted: New York, 1989.
2. Lakshmikantham V, Liu XZ. On quasi-stability for impulsive differential systems. Nonlinear Analysis 1989; 13: 819-828.
3. Pandit SG, Deo SG. Differential Systems Involving Impulses. Springer: Berlin, 1982.
4. Ye H, Michel AN. Hou L. Stability analysis of systems with impulse effects. IEEE Transactions on Automatic Control 1998; 43(12): 1719-1723.
5. Guan ZH, Chen GR. Ueta T. On impulsive control of a periodically forced chaotic pendulum system. IEEE Transactions on Automatic Control 2000; 45(9): 1724-1727.
6. Sun JT, Zhang YP, Wu QD. Impulsive control for stabilization and synchronization of Lorenz systems. Physics Letters A 2002;298:153- 160.
7. Oksendal B. Stochastic Differential Equations (4th edn). Springer: New York, 1995.
8. Spiliotis J, Tsinias J. Notions of exponential robust stochastic stability, ISS and their Lyapunov characterizations. International Journal of Robust ana" Nonlinear Control 2003; 13(2): 173-187.
9. ∞ filtering for uncertain impulsive stochastic systems under sampled measurements. Automatica 2003; 39:509-516.
10. Basin M, Alcorta-Garcia A, Rodriguez-Gonzalez J. Optimal filtering for linear systems with state and observation delays. International Journal of Robust and Nonlinear Control 2005; 15(17):859-871.
11. Ji Y. Chizeck HJ. Controllability, stabilizability and continuous-time Markovian jump linear quadratic control. IEEE Transactions on Automatic Control 1990; 35(7):777-788.
12. Mariton M. Jump Linear Systems in Automatic Control. Marcel Dekker: New York, 1990.
13. Yue D, Han QL. Delay-dependent exponential stability of stochastic systems with time-varying delay, non-linearity, and Markovian switching. IEEE Transactions on Automatic Control 2005; 50(2):217-222.
14. Mao XR. Stability of stochastic difleretial equations with Markovian switching. Stochastic Processes and their Applications 1999; 79(1):45-67.
15. Boukas EK. Output feedback stabilization of stochastic non-linear hybrid systems. IMA Journal of Mathematical Control and Information 2006; 23:137-148.
16. ∞, control for uncertain discrete-time stochastic bilinear systems with Markovian switching. International Journal of Robust and Nonlinear Control 2005; 15(5):20l-217.
17. 2-control for jump linear systems: cluster observations of the Markov state. Automatica 2002; 38:343-349.
18. ∞, constant feedback stabilization of stochastic systems. IMA Journal of Mathematical Control and Information 2005; 22:334-349.
19. ∞ filtering for a class of uncertain nonlinear systems. System Control Letters 1993; 20(6):419-426.
20. ∞ minimum error state estimation of linear stationary processes. IEEE Transactions on Automatic Control 1990; 35(5):554-558.
21. Shi P. Filtering on sampled-data systems with parametric uncertainty. IEEE Transactions on Automatic Control 1998; 43(7): 1022-1027.
22. Wu HJ, Sun JT. p-Moment stability of stochastic differential equations with impulsive jump and Markovian switching. Automatica 2006; 42(10):1753-1759.
23. Boukas EK, Liu ZK. Deterministic and Stochastic Systems with Time-delay. Birkhauser: Boston, MA, 2002.