A revisited tsypkin criterion for discrete-time nonlinear Lur'e systems with monotonic sector-restrictions

Automatica

Volumn 34, Issue 11, 1998, Pages 1417-1420

  Park, PooGyeon ^a   Kim, Sang Woo ^a  

^a Pohang University of Science and Technology (POSTECH)   (South Korea)

Author keywords

Nonlinear system; Robust stability

Indexed keywords

CONTROL SYSTEM ANALYSIS; LYAPUNOV METHODS; NONLINEAR CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); STABILITY CRITERIA; SYSTEM STABILITY;

NONLINEAR LUR'E SYSTEMS; TSYPKIN CRITERION;

DISCRETE TIME CONTROL SYSTEMS;

EID: 0032205333     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(98)00100-9     Document Type: Article

References (13)

1. Anderson, B. D. O. and S. Vongpanitlerd (1973). Network Analysis and Synthesis: A Modern Systems Theory Approach. Prentice-Hall Inc., Englewood Cliffs, NJ.
2. Haddad, W. M. and D. S. Bernstein (1994). Parameter-dependent Lyapunov functions and the discrete-time Popov criterion for robust analysis. Automatica, 30, 1015-1021.
3. Jury, E. I. and B. W. Lee (1964a). On absolute stability of nonlinear sampled-data systems. IEEE Trans. Automat. Control, AC-9, 51-61.
4. Jury, E. I. and B. W. Lee (1964b). On the stability of a class of nonlinear sampled-data systems. IEEE Trans. Automat. Control, AC-9, 551-554.
5. Kapila, V. and W. M. Haddad (1996). A multivariable extension of the Tsypkin criterion using a Lyapunov-function approach. IEEE Trans. Automat. Control, 41(1), 149-152.
6. Narendra, K. S. and J. H. Taylor (1973). Frequency Domain Criteria for Absolute Stability. Academic Press, New York.
7. Popov, V. M. (1961). Absolute stability of nonlinear systems of automatic control. Automatika i Telemekhanika, 22, 961-979.
8. Premaratne, K. and E. I. Jury (1994). Discrete-time positive-real lemma revisited: the discrete-time counterpart of the Kalman-Yakubovitch lemma. IEEE Trans. Circuit Systems, 41(11), 747-750.
9. Brockett, R. W. and J. L. Willems (1965a). Frequency domain stability criteria - part I. IEEE Trans Automat. Control, AC-10, 255-261. 3.
10. Brockett, R. W. and J. L. Willems (1965b). Frequency domain stability criteria - part II. IEEE Trans Automat. Control, AC-10, 407-413. 4.
11. Trentelman, H. L. an dJ. C. Willems (1991). The dissipation inequality and the algebraic Riccati equation. In The Riccati Equation, S. Bittanti, A. J. Laub and J. C. Willems (eds), Springer, Berlin, pp. 197-242.
12. Tsypkin, Y. Z. (1964). A criterion for absolute stability of automatic pulse systems with monotonie characteristics of the nonlinear element. Sov. Phys. Doklady, 9, 263-266.
13. Vidyasagar, M. (1993). Nonlinear System Analysis, 2nd edn. Prentice-Hall, Englewood Cliffs, NJ.