Note on absolute stability of uncertain systems

Automatica

Volumn 37, Issue 4, 2001, Pages 605-610

  Impram, Serkan T ^a   Munro, Neil ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; PERTURBATION TECHNIQUES; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; UNCERTAIN SYSTEMS;

POPOV CRITERION;

NONLINEAR CONTROL SYSTEMS;

EID: 0034818049     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(00)00194-1     Document Type: Article

References (14)

1. Aizerman, M. A., & Gantmacher, F. R. (1964). Absolute stability of regulator systems. San Francisco, CA: Holden-Day.
2. Bartlett, A. C., Tesi, A., & Vicino, A. (1993). Frequency response of uncertain systems with interval plants. IEEE Transactions on Automatic Control, AC-38, 929-933.
3. Bhattacharyya, S. P., Chapellat, H., & Keel, L. H. (1995). Robust control: The parametric approach. Upper Saddle River, NJ: Prentice-Hall.
4. Brockett, R. W. (1966). The status of stability theory for deterministic systems. IEEE Transactions on Automatic Control, AC-11, 596-607.
5. Dahleh, M., Tesi, A., & Vicino, A. (1993). On the robust Popov criterion for interval Lur'e system. IEEE Transactions on Automatic Control, AC-38, 1400-1405.
6. Hollot, C. V., & Tempo, R. (1994). On the Nyquist envelope of an interval plant family. IEEE Transactions on Automatic Control, AC-39, 391-396.
7. Marquez, H. J., & Diduch, P. (1994). Absolute stability of systems with parametric uncertainty and nonlinear feedback. IEEE Transactions on Automatic Control, AC-39, 664-668.
8. Mori, T., Nishimura, T., & Kuroe, Y. (1994). Stability of Lur'e systems with interval plants and general sector-type nonlinearities. Proceedings of the American Control Conference, MD, USA (pp. 1013-1017).
9. Narendra, K. S., & Taylor, J. H. (1973). Frequency domain criteria for absolute stability. New York, NY: Academic Press.
10. Polyak, B. T., & Tsypkin, Y. Z. (1992). Robust Nyquist test. Automation and Remote Control, 53, 972-977.
11. Popov, V. M. (1961). Absolute stability of nonlinear systems of automatic control. Automation and Remote Control, 22, 857-875.
12. Soh, Y. C., & Foo, Y. K. (1992). Stability margins of perturbed systems. In M. Mansour, S. Balemi, & W. Truöl (Eds.), Robustness of dynamic systems with parameter uncertainties, (pp. 13-21). Basel, Switzerland: Birkhäuser Verlag.
13. Tsypkin, Y. Z., & Polyak, B. T. (1992). Robust absolute stability of continuous systems. In M. Mansour, S. Balemi, & W. Truöl (Eds.), Robustness of dynamic systems with parameter uncertainties. (pp. 113-121). Basel, Switzerland: Birkhäuser Verlag.
14. Zames, G. (1966). On the input-output stability of time-varying nonlinear feedback systems, Parts I and II. IEEE Transactions on Automatic Control, AC-11, 228-238, 465-476.