Input-to-state stabilization of linear systems with positive outputs

Systems and Control Letters

Volumn 35, Issue 4, 1998, Pages 245-255

  Nesic D ^a   Sontag, E D ^b  

^a University of California   (United States)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

Discrete time; Measurement disturbances; Positive output; Robustness

Indexed keywords

EID: 0013049064     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(98)00060-7     Document Type: Article

References (18)

1. A. Astolfi, A. Schaufelberger, State and output feedback stabilization of multiple chained systems with discontinuous control, Systems Control Lett. 32 (1997) 49-56.
2. J.-M. Coron, On the stabilization of controllable and observable systems by an output feedback law, Math. Control Signals Systems 7 (1994) 187-216.
3. J.-M. Coron, L. Praly, L. Teel, Feedback stabilization of nonlinear systems: sufficient conditions and Lyapunov and input-output techniques, in: Trends in Control, Springer, Berlin, 1995, pp. 293-348.
4. R.A. Freeman, Global internal stabilizability does not imply global external stabilizability for small sensor disturbances, IEEE Trans. Automat. Control 40 (1995) 2119-2122.
5. R.A. Freeman, Time-varying feedback for the global stabilization of nonlinear systems with measurement disturbances, in: Proc. European Control Conf. Brussels, Belgium, 1997.
6. R. Koplon, E.D. Sontag, Linear systems with sign-observations, SIAM J. Control Optim. 31 (1993) 1245-1266.
7. G. Kreisselmeier, Stabilization of linear systems in the presence of output measurement saturation, Systems Control Lett. 29 (1996) 27-30.
8. Yu.S. Ledyaev, E.D. Sontag, Stabilization under measurement noise: Lyapunov characterization, in: Proc. Amer. Control Conf., Philadelphia, vol. 3, 1998, pp. 1658-1662.
9. F. Mazenc, L. Praly, W.P. Dayawansa, Global stabilization by output feedback: examples and counterexamples, Systems Control Lett. 23 (1994) 119-125.
10. D. Nešić, Dead-beat control for polynomial systems, Ph.D. Thesis, The Australian National University, Canberra, 1996.
11. D. Nešić, I.M.Y. Mareels, Dead beat control of simple Hammerstein systems, IEEE Trans. Automat. Control 43 (1998) 1184-1188.
12. E.D. Sontag, Conditions for abstract nonlinear regulation, Inform. and Control 51 (1981) 105-127.
13. E.D. Sontag, Abstract regulation of nonlinear systems: stabilization, Part II, in: Proc. Conf. Info. Sci. and Systems, Princeton, March 1982, pp. 431-435.
14. E.D. Sontag, Smooth stabilization implies coprime factorization, IEEE Trans. Automat. Control. 34 (1989) 435-443.
15. E.D. Sontag, Mathematical Control Theory: Deterministic Finite Dimensional Systems, Springer, New York, 1990; 2nd ed., Springer, New York, 1998.
16. E.D. Sontag, On the input-to-state stability property, European J. Control 1 (1995) 24-36.
17. E.D. Sontag, Y. Wang, New characterizations of the input to state stability property, IEEE Trans. Automat. Control 41 (1996) 1283-1294.
18. J. Tsinias, Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation, ESAIM Control Optim. Calc. Var. 2 (1997) 57-85.