Parametric absolute stability of Lur'e systems

IEEE Transactions on Automatic Control

Volumn 43, Issue 11, 1998, Pages 1649-1653

  Wada, Teruyo ^a   Ikeda, Masao ^b   Ohta, Yuzo ^c   Šiljak, Dragoslav D ^d  

^a Osaka City University   (Japan)

^b OSAKA UNIVERSITY   (Japan)

^c KOBE UNIVERSITY   (Japan)

^d Santa Clara University   (United States)

Author keywords

Equilibrium analysis; Nonlinear system; Parametric absolute stability

Indexed keywords

ALGORITHMS; CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; PARAMETER ESTIMATION; SYSTEM STABILITY; UNCERTAIN SYSTEMS;

LUR'E-TYPE NONLINEAR CONTROL SYSTEMS; PARAMETRIC ABSOLUTE STABILITY; POLYGON INTERVAL ARITHMETIC ALGORITHMS;

NONLINEAR CONTROL SYSTEMS;

EID: 0032204103     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.728889     Document Type: Article

References (14)

1. M. Ikeda, Y. Ohta, and D. D. Šiljak, "Parametric stability," in New Trends in Systems Theory, G. Conte, A. M. Perdon, and B. Wyman, Eds. Boston, MA: Birkhauser, 1990, pp. 1-20.
2. T. Wada, D. D. Šiljak, Y. Ohta, and M. Ikeda, "Parametric stability of control systems," in Recent Advances in Mathematical Theory of Systems, Control, Networks and Signal Processing II, H. Kimura and S. Kodama, Eds. Mita, 1992, pp. 377-382.
3. Y. Ohta and D. D. Šiljak, "Parametric quadratic stabilizability of uncertain nonlinear systems," Syst. Contr. Lett., vol. 22, pp. 437-444, 1992.
4. D. D. Šiljak, Nonlinear Systems. New York: Wiley, 1969.
5. A. Tesi and A. Vicino, "Robust absolute stability of Lur'e control systems in parameter space," Automatica, vol. 27, pp. 147-151, 1991.
6. G. Fruchter, "Generalized zero sets location and absolute robust stabilization of continuous nonlinear control systems," Automatica, vol. 27, pp. 501-512, 1991.
7. H. Chapellat, M. Dahleh, and S. P. Bhattacharyya, "On robust nonlinear stability of interval control systems," IEEE Trans. Automat. Contr., vol. 36, pp. 59-67, 1991.
8. M. Dahleh, A. Tesi, and A. Vicino, "On the robust Popov criterion for interval Lur'e system," IEEE Trans. Automat. Contr., vol. 38, pp. 1400-1405, 1993.
9. T. Mori, T. Nishimura, Y. Kuroe, and H. Kokame, "Comments on 'On the robust Popov criterion for interval Lur'e systems,'" IEEE Trans. Automat. Contr., vol. 40, pp. 136-137, 1995.
10. Y. Ohta, L. Gong, and H. Haneda, "Polygon interval arithmetic and design of robust control systems," in Proc. 29th Conf. Decision and Control, Honolulu, HI, 1990, pp. 1065-1067.
11. V. M. Popov, "On the absolute stability of nonlinear control systems," Avtomatika i Telemekhanika, vol. 22, no. 8, pp. 961-979, 1961 (in Russian).
12. M. A. Aizerman and F. R. Gantmacher, Absolute Stability of Regulator Systems (translated by E. Polak). San Francisco, CA: Holden-Day, 1964.
13. J. Ackermann et al., Robust Control: Systems with Uncertain Physical Parameters. London, U.K.: Springer, 1993.
14. W. Siena, "Algorithms for tree structured decomposition," in Proc. 31st Conf. Decision and Control, Tucson, AZ, 1992, pp. 739-740.