Robust stability of Lure systems with time-varying uncertainties: A linear matrix inequality approach

International Journal of Systems Science

Volumn 30, Issue 1, 1999, Pages 3-9

  Konishi, Keiji ^a   Kokame, Hideki ^a  

^a Osaka Prefecture University   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL NONLINEARITIES; CONTROL SYSTEM ANALYSIS; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS;

LINEAR MATRIX INEQUALITY METHOD; LUR'E SYSTEMS;

UNCERTAIN SYSTEMS;

EID: 0032804961     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/002077299292605     Document Type: Article

References (13)

1. Boyd, S., Ghaoui, L. ElFeron, E., and Balakrishnan, V., 1994, Linear Matrix Inequalities in System and Control Theory (Philadelphia, Pennsylvania: SIAM).
2. Grujic, L. J. T., and Petkovski, D. J., 1987, On robustness of Lurie systems with multiple non-linearities. Automica, 23, 327-334.
3. ∞ control of systems under norm bounded uncertainties in all system matrices. IEEE Transactions on Automatic Control, 39, 1320-1322.
4. Gupta, S., 1996, Robust stability analysis using LMIs: beyond small gain and passivity. International Journal of Robust and Nonlinear Control, 6, 953-968.
5. ∞ control problems: LMI existence conditions and state space formulas. Automatica, 30, 1307-1317.
6. ∞control for linear delay-differential systems with time-varying uncertainties. Proceedings of the 35th IEEE Conference on Decision and Control, Kobe, Japan, pp. 2097-2102.
7. Li, X., and de Souza, C. E., 1995, LMI approach to delay-dependent robust stability and stabilization of uncertain linear delay systems. Proceedings of the 34th IEEE Conference on Decision and Control, New Orelans, Louisiana, USA, pp. 3614-3619.
8. Sakamoto, N., Sugiura, M., Hayashi, M., and Suzuki, M., 1996, Synthesis of y-positive real feedback systems. Proceedings of the 35th IEEE Conference on Decision and Control, Kobe, Japan, pp. 2854-2859.
9. Shim, D., 1996, Quadratic stability in the circle theorem of positivity theorem. International Journal of Robust and Nonlinear Control, 6, 781-788.
10. Sun, W., Khargonekar, P. P., and Shim, D., 1994, Solution to the positive real control problem for linear time-invariant system. IEEE Transactions on Automatic Control, 39, 2034-2046.
11. Vidyasagar, M., 1993, Nonlinear Systems Analysis (London: Prentice-Hall).
12. Wada, T., Ikeda, M., Ohta, Y., and Siljak, D. D., 1996, Parametric absolute stability of multivariable Lur'e systems: an LMI condition and application to polytopic systems. Proceedings of the 13th IFAC World Congress, San Francisco, california, USA, pp, 19-24.
13. Xie, L., and Soh, Y. C., 1995, Positive real control problem for uncertain linear time-invariant systems. Systems and Control Letters, 24, 265-271.