Robust stability of linear systems with delayed perturbations

IEEE Transactions on Automatic Control

Volumn 41, Issue 12, 1996, Pages 1820-1822

  Kim, Jin Hoon ^a  

^a Chungbuk National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; MATHEMATICAL MODELS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; SYSTEM STABILITY; THEOREM PROVING;

DELAYED PERTURBATIONS;

LINEAR CONTROL SYSTEMS;

EID: 0030414388     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.545749     Document Type: Article

References (11)

1. E. Cheres, Z. J. Palmor, and S. Gutman, "Quantitative measures of robustness for systems including delayed perturbations," IEEE Trans. Automat. Contr., vol. 34, pp. 1203-1204, 1989.
2. A. Hmamed, "Further results on the stability of uncertain time-delay systems," Int. J. Syst. Sci., vol. 22, no. 3, pp. 605-614, 1991.
3. T.-J. Su and C.-G. Huang, "Robust stability of delay dependence for linear uncertain systems," IEEE Trans. Automat. Contr., vol. 37, pp. 1656-1659, 1992.
4. K. K. Shyu and J. J. Yan, "Robust stability of uncertain time-delay systems and its stabilization by variable structured control," Int. J. Contr., vol. 57, no. 1, pp. 237-246, 1993.
5. H. Trinh and M. Aldeen, "On the stability of linear systems with delayed perturbations," IEEE Trans. Automat. Contr., vol. 39, pp. 1948-1951, 1994.
6. H. Wu and K. Mizukami, "Robust stability criteria for dynamical systems including delayed perturbations," IEEE Trans. Automat. Contr., vol. 40, pp. 487-490, 1995.
7. R. K. Yedavalli and Z. Liang, "Reduced conservatism in stability robustness bounds by state transformation," IEEE Trans. Automat. Contr., vol. AC-31, pp. 863-866, 1986.
8. K. Zhou and P. P. Khargonekar, "Stability robustness bounds for linear state-space models with structured uncertainty," IEEE Trans. Automat. Contr., vol. 32, pp. 621-623, 1987.
9. M. E. Sezer and D. D. Siljak, "A note on robust stability bounds," IEEE Trans. Automat. Contr., vol. 34, no. 11, pp. 1212-1214, 1989.
10. H.-G. Chcn and K.-W. Han, "Improved quantitative measures on robustness for multivariable systems," IEEE Trans. Automat. Contr., vol. 39, no. 4, pp. 807-810, 1994.
11. A. R. Amir-Moez, "Extreme properties of eigenvalues of a Hermitian transformation and singular values of the sum and product of linear transformations," Duke Math. J., vol. 23, pp. 463-467, 1956.