Absolute Stability with a Generalized Sector Condition

Proceedings of the American Control Conference

Volumn 3, Issue , 2003, Pages 1855-1860

  Hu, Tingshu ^a   Huang, Bin ^a   Lin, Zongli ^a  

^a University of Virginia   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL THEORY; MATRIX ALGEBRA; OPTIMIZATION; SET THEORY; SYSTEM STABILITY;

VERTEX ANALYSIS;

NONLINEAR SYSTEMS;

EID: 0142153616     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. M.A. Aizerman and F.R. Gantmacher, Absolute Stability of Regulator Systems, Holden-Day, San Francisco, CA, 1964.
2. W. M. Haddad, V. Kapila and V. S. Chellabonia, "Guaranteed domain of attraction for multivariable Lur'e systems via open Lyapunov surfaces," in Proceedings of 13th IFAC Wold Congress, San Francisco, pp. 13-18, 1996.
3. T. Hu and Z. Lin, "Exact characterization of invariant ellipsoids for linear systems with saturating actuators," IEEE Trans. on Automat. Contr., Vol. 47, No. 1, pp. 164-169, 2002.
4. T. Hu and Z. Lin, "Composite quadratic Lyapunov functions for constrained control systems," IEEE Trans. on Automat. Contr., March, 2003.
5. T. Hu, Z. Lin and B. M. Chen, "An analysis and design method for linear systems subject to actuator saturation and disturbance," Automatica, Vol. 38, No. 2, pp. 351-359, 2002.
6. H. Khalil, Nonlinear Systems, Prentice-Hall, Upper Saddle River, NJ, 1996.
7. D. Liu and A. Molchanov, "Criteria for robust absolute stability of time-varying nonlinear continuous-time systems," Automatica, Vol. 38, pp. 627-637, 2002.
8. K.S. Narendra and J. Taylor, Frequency Domain Methods for Absolute Stability, Academic Press, New York, 1973.
9. M. G. Safonov, Stability and Robustness of Multivariable Feedback Systems, MIT Press, 1980.
10. J-J. E. Slotine and W. Li. Applied Nonlinear Control. Prentice-Hall, Englewood Cliffs, NJ, 1991.
11. M. M. Vidyasagar, Nonlinear Systems Analysis, Prentice-Hall, Englewood Cliffs, New Jersy, 1993.
12. J. A. Walker and N. H. McClamroch, "Finite regions of attraction for the problem of Lur'e," Int. J. of Control, Vol. 6, No. 4, pp. 331-336, 1967.
13. J. L. Willems, "The computation of finte stability regions by means of open Lyapunov surfaces," Int. J. Control, Vol. 10, No. 5, pp. 537-544, 1969.