Decentralized stabilization of large-scale linear continuous systems with N X N time-varying delays

International Journal of Systems Science

Volumn 31, Issue 4, 2000, Pages 489-496

  Xu, Bugong ^a  

^a SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DECENTRALIZED CONTROL; FEEDBACK CONTROL; LYAPUNOV METHODS; MATRIX ALGEBRA; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS;

TIME-VARYING DELAYS;

LINEAR CONTROL SYSTEMS;

EID: 0034175341     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/002077200291073     Document Type: Article

References (14)

1. Cheres, E., Gutman, S., and Palmor, Z. J 1989, Stabilization of uncertain dynamic systems including state delay. IEEE Transactions on Automatic Control, 34, 1199-1203.
2. Geromel, J. C., and Yamakami, A., 1982, Stabilization of continuous and discrete linear systems subjected to control structure constraints. International Journal of Control, 43, 429-444.
3. Hale, J. K., 1977, Theory of Functional Differential Equations (New York: Springer-Verlag), chapter 5.
4. Hale, J. K., and Lunel, S. M. V., 1993, Introduction to Functional Differential Equations (New York: Springer-Verlag), chapter 5.
5. Hmamed, A., 1997, Further results on the robust stability of linear systems including delayed perturbations. Automatica, 33, 1763-1765.
6. Hu, Z., 1994, Decentralized stabilization of large scale interconnected systems with delays. IEEE Transactions on Automatic Control, 39, 180-182.
7. Jeung, E. T., Oh, D. C., Kim, J. H., and Park, H. B., 1996, Robust controller design for uncertain systems with time delays: LMI approach. Automatica, 32, 1229-1231.
8. Kim, J.-H., 1996, Robust stability of linear systems with delayed perturbations. IEEE Transactions on Automatic Control, 41, 1820-1822.
9. Lee, T. N., and Radovic, U. L., 1987, General decentralized stabilization of large-scale linear continuous and discrete time-delay systems. International Journal of Control, 46, 2127-2140; 1988, Decentralized stabilization of linear continuous and discrete-time systems with delays in interconnections. IEEE Transactions on Automatic Control, 33, 757 761.
10. Razumikhin, B. S., 1960, The application of Lyapunov’s method to problems in the stability of systems with delay. Automation and Remote Control, 21, 515-520.
11. Thrinh, H., and Aldeen, M., 1995a, A comment on ‘Decentralized stabilization of large scale interconnected systems with delays’. IEEE Transactions on Automatic Control, 40, 914-916; 1995b, Stability robustness bounds for linear systems with delayed perturbations. Proceedings of the Institution of Electrical Engineers Pt D, 142, 345-350.
12. Wu, H., and Mizukami, K., 1996, Linear and nonlinear stabilizing continuous controllers of uncertain dynamical systems including state delay. IEEE Transactions on Automatic Control, 41, 116-121.
13. Xu, B., 1994, Comments on ‘Robust stability of delay dependence for linear uncertain systems’. IEEE Transactions on Automatic Control, 39, 2365; 1997, Stability robustness bounds for linear systems with multiple time-varying delayed perturbations. International Journal of Systems Science, 28, 1311-1317; 1999, Decay estimates for retarded dynamic systems. International Journal of Systems Science, 30, 427439.
14. Xu, B., Fu, Y., and Bai, L., 1996, Further results on robust bounds for large-scale time-delay systems with structured and unstructured uncertainties. International Journal of Systems Science, 27, 1491-1495.