Independent of delay stability criteria for uncertain linear state space models

Automatica

Volumn 33, Issue 2, 1997, Pages 171-179

  Luo, J S ^a   Van Den Bosch, P P J ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Linear systems; Lyapunov approach; Stability robustness; Time delay

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LINEAR CONTROL SYSTEMS; LYAPUNOV METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; ROBUSTNESS (CONTROL SYSTEMS); STATE SPACE METHODS;

LINEAR UNCERTAIN SYSTEMS; STRUCTURED PARAMETER UNCERTAINTY; TIME DELAY;

STABILITY CRITERIA;

EID: 0031062111     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(96)00160-4     Document Type: Article

References (22)

1. Chen, J. and Latchman, H. A. (1995) Frequency sweeping tests for stability independent of delay. IEEE Transactions on Automatic Control AC-40, 1640-1645.
2. Chen, J., Xue, D. M. and Shafai, B. (1995) On sufficient conditions for stability independent of delay. IEEE Transactions on Automatic Control AC-40, 1675-1680.
3. Cheres, E., Gutman, E. and Palmor, Z. J. (1989) Stabilization of uncertain dynamic systems including state delay. IEEE Transactions on Automatic Control AC-34, 1199-1203.
4. Hmamed, A. (1986) On the stability of time-delay systems: new results. International Journal of Control 43, 321-324.
5. Hmamed, A. (1991) Further results on the stability of uncertain time-delay systems. International Journal of Systems Science 22, 605-614.
6. Kamen, E. W. (1982) Linear systems with commensurate time delays: stability and stabilization independent of delay. IEEE Transactions on Automatic Control AC-27, 367-375.
7. ∞ control theory. IEEE Transactions on Automatic Control AC-35, 356-361.
8. Luo, J. S., Johnson, A. and van den Bosch, P. P. J. (1995a) Delay-independent robust stability of uncertain linear systems. Systems and Control Letters 24, 33-39.
9. Luo, J. S., Johnson, A. and van den Bosch, P. P. J. (1995b) Lyapunov stability robust analysis and robustness design for linear continuous-time systems. International Journal of Control 64(6), 1233-1251.
10. Mahmoud, M. S. and Al-Mathairi, N. F. (1994) Quadratic Stabilization of continuous time systems with state-delay and norm-bounded time varying uncertainties. IEEE Transactions on Automatic Control AC-39, 2135-2139.
11. Mori, T. (1985) Criteria for asymptotic stability of linear time-delay systems. IEEE Transactions on Automatic Control AC-30, 158-161.
12. Mori, T. and Kokame, H. (1989) Stability of ẋ = Ax(t) + Bx(t - τ). IEEE Transactions on Automatic Control AC-34, 460-462.
13. Mori, T., Noldus, E. and Kuwahara, M. (1983) A way to stabilize linear systems with delayed state. Automatica 19, 571-573.
14. Shi, Z. C. and Gao, W. B. (1986) A necessary and sufficient condition for the positive-definite of interval symmetric matrices. International Journal of Control 43, 325-328.
15. Shyu, K. K. and Yan, J. J. (1993) Robust stability of uncertain time-delay systems and its stabilization by variable structure control. International Journal of Control 57, 237-246.
16. Sobel, K. M., Banda, S. S. and Yeh, H. H. (1989) Robust control for linear system with structured state space uncertainty. International Journal of Control 50, 1991-2004.
17. Su, T. J. and Huang, C. G. (1992) Robust stability of delay dependence for linear uncertain systems. IEEE Transactions on Automatic Control AC-37, 1656-1659.
18. Thowsen, A. (1982) A transformation for stability analysis of linear delay systems. International Journal of Systems Science 13, 1372-1378.
19. Tissir, E. and Hmamed, A. (1994) Stability tests of interval time delay systems. Systems and Control Letters 23, 263-270.
20. Trinh, H. and Aldeen, M. (1994) On the stability of linear systems with delayed perturbations. IEEE Transactions on Automatic Control AC-39, 1948-1951.
21. Xu, B. (1994) Comments on 'robust stability of delay dependence for linear uncertain systems'. IEEE Transactions on Automatic Control AC-39, 2365.
22. Zhou, K. and Khargonekar, P. P. (1987) Stability robustness bounds for linear state space models with structured uncertainty. IEEE Transactions on Automatic Control AC-32, 621-623.