p-Moment stability of stochastic differential equations with impulsive jump and Markovian switching

Automatica

Volumn 42, Issue 10, 2006, Pages 1753-1759

  Wu, Huijun ^a   Sun, Jitao ^a  

^a TONGJI UNIVERSITY   (China)

Author keywords

Impulsive jump; Liapunov function; Markovian switching; p Moment stability; Stochastic differential equation

Indexed keywords

FUNCTIONS; LYAPUNOV METHODS; MARKOV PROCESSES; RANDOM PROCESSES; SWITCHING; SYSTEM STABILITY;

MARKOVIAN SWITCHING; P-MOMENT STABILITY; STOCHASTIC DIFFERENTIAL EQUATION;

DIFFERENTIAL EQUATIONS;

EID: 33747810413     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2006.05.009     Document Type: Article

References (17)

1. Basak G.K., Bisi A., and Ghosh M.K. Stability of a random diffusion with linear drift. Journal of Mathematics Analysis and Application 202 (1996) 604-622
2. 2-control of Markovian jump linear system via convex analysis. Automatica 35 (1999) 259-268
3. de Farias D.P., Geromel J.C., do Val J.B.R., and Costa O.L.V. Output feedback control of Markov jump linear systems in continuous-time. IEEE Transactions on Automatic Control 45 5 (2000) 944-949
4. 2-control for jump linear systems: Cluster observations of the Markov state. Automatica 38 (2002) 343-349
5. Ji Y., and Chizeck H.J. Controllability, stability and continuous-time Markovian jump linear quadratic control. IEEE Transactions on Automatic Control 35 (1990) 777-788
6. Liu X. Impulsive stabilization and applications to population growth models. Rocky Mountain Journal of Mathematics 25 (1995) 269-284
7. Liu X., and Rohlf K. Impulsive control of Lotka-Volterra models. Mathematical Control Information 15 (1998) 381-395
8. Mao X. Stability of stochastic differential equations with Markovian switching. Stochastic Process and Application 79 1 (1999) 45-67
9. Mariton M. Jump linear systems in automatic control (1990), Marcel Dekker, New York
10. Oksendal B. Stochastic differential equations. (4th ed.) (1995), Springer, New York
11. Skorohod A.V. Asymptotic methods in the theory of stochastic differential equations (2004), American Mathematical Society, Providence, RI
12. Sun J.T., and Zhang Y.P. Stability analysis of impulsive control systems. IEE Proceedings of Control Theory and Applications 150 4 (2003) 331-334
13. Sun J.T., Zhang Y.P., and Wu Q.D. Less conservative condition for asymptotic stability of impulsive control systems. IEEE Transactions on Automatic Control 48 5 (2003) 829-831
14. Wu S.J., Han D., and Meng X.Z. p-Moment stability of stochastic differential equations with jumps. Applied Mathematics and Computation 152 2 (2004) 505-519
15. ∞ filtering for uncertain Markovian jump systems with mode-dependent time delays. IEEE Transactions on Automatic Control 48 5 (2003) 900-907
16. Yang T. Impulsive control. IEEE Transactions on Automatic Control 44 (1999) 1081-1083
17. Yang T. Impulsive systems and control: Theory and applications (2001), Nova Science Publishers, Huntington, NY