Stabilization of Markovian jump linear system over networks with random communication delay

Automatica

Volumn 45, Issue 2, 2009, Pages 416-421

  Liu, Ming ^a   Ho, Daniel W C ^a   Niu, Yugang ^b  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b EAST CHINA UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Markovian parameters; Network induced delays; Networked control systems; Stabilization

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROL THEORY; DELAY CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; LINEAR SYSTEMS; MARKOV PROCESSES; STABILIZATION;

DESIGN METHODS; ITERATIVE LINEAR MATRIX INEQUALITIES; JUMPING PARAMETERS; LOOP SYSTEMS; MARKOV CHAINS; MARKOVIAN; MARKOVIAN JUMP LINEAR SYSTEMS; MARKOVIAN PARAMETERS; MODE SIGNALS; NECESSARY AND SUFFICIENT CONDITIONS; NETWORK-INDUCED DELAYS; NETWORKED CONTROL SYSTEMS; NUMERICAL EXAMPLES; RANDOM COMMUNICATION DELAYS; STABILIZATION PROBLEMS; STABILIZING CONTROLLERS; SYSTEM STATES;

CONTROL SYSTEMS;

EID: 58349113649     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2008.06.023     Document Type: Article

References (13)

1. Azimi-Sadjadi, B. (2003). Stability of networked control systems in the presence of packet losses. In Proceedings of the conference on decision and control (pp. 676-681)
2. ∞ control of discrete-time Markovian jump linear systems with mode-dependent time-delays. IEEE Transactions on Automatic Control 46 12 (2001) 1918-1924
3. ∞ control for discrete-time jump linear systems with time delay. Journal of the Franklin Institute 336 8 (1999) 1263-1281
4. ∞ control of uncertain discrete-time Markovian jump systems with mode-dependent time delays. Systems and Control Letters 52 5 (2004) 361-376
5. Ji Y., Chizeck H.J., Feng X., and Loparo K.A. Stability and control of discrete-time jump linear systems. Control Theory and Advanced Technology 7 2 (1991) 247-270
6. Niu Y., Ho D.W.C., and Wang X. Sliding mode control for Ito stochastic systems with Markovian switching. Automatica 43 (2007) 1784-1790
7. Shi P., Boukas E.-K., and Agarwal R.K. Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay. IEEE Transactions on Automatic Control 44 11 (1999) 2139-2144
8. Xiao, L., & Arash hassibi, (2000). Control with random communication delays via a discrete-time jump system approach. In Proceedings of the Amarican Control conference
9. Xiong J., and Lam J. Stabilization of discrete-time Markovian jump linear systems via time-delayed controllers. Automatica 42 5 (2006) 747-753
10. Xiong J., and Lam J. Stabilization of linear systems over networks with bounded packet loss. Automatica 43 1 (2007) 80-87
11. Xiong J., Lam J., Gao H., and Ho D.W.C. On robust stabilization of Markovian jump systems with uncertain switching probabilities. Automatica 41 5 (2005) 897-903
12. ∞ model reduction of Markovian jump linear systems. Systems & Control Letters 50 3 (2003) 103-118
13. Zhang L., Shi Y., and Chen T. A new method for stabilization of networked control systems with random delays. IEEE Transactions on Automatic Control 50 8 (2005) 1177-1181