Certainty equivalence implies detectability

Systems and Control Letters

Volumn 36, Issue 1, 1999, Pages 1-13

  Hespanha, J P ^a   Morse, A S ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b YALE UNIVERSITY   (United States)

Author keywords

Adaptive control; Certainty equivalence; Detectability; Input to state stability

Indexed keywords

EID: 0001887382     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(98)00057-7     Document Type: Article

References (17)

1. M.A. Aizerman, F.R. Gantmacher, Absolute Stability of Regulator Systems, Holden-Day, San Franscisco, CA, 1964.
2. E.D. Sontag, Smooth stabilization implies coprime factorization, IEEE Trans. Automat. Control 34(4) (1989) 435-443.
3. J.P. Hespanha, Logic-based switching algorithms in control, Ph.D. Thesis, Yale University, 1998.
4. J.P. Hespanha, A.S. Morse, Certainty equivalence implies detectability, Proc. NOLCOS, 1998.
5. J.P. Hespanha, A.S. Morse, Scale-independent hysteresis switching, Technical Report, Yale University, May 1998.
6. I. Kanellakopoulos, P.V. Kokotovic, A.S. Morse, A toolkit for nonlinear feedback design, Systems Control Lett. 18 (1992) 83-92.
7. M. Krstić, I. Kanellakopoulos, P. Kokotović, Nonlinear adaptive control design, in: Adaptive and Learning Systems for Signal Processing, Communications, and Control, Wiley, New York, 1995.
8. A.S. Morse, Control using logic-based switching, in: A. Isidori (Ed.), Trends in Control, Springer, Berlin, 1995, pp. 69-113.
9. A.S. Morse, Supervisory control of families of linear set-piont controllers - Part 1: exact matching, IEEE Trans. Automat. Control (1996) 1413-1431.
10. A.S. Morse, Towards a unified theory of parameter adaptive control - Part 2: certainty equivalence and implicit tuning, IEEE Trans. Automat. Control 37(1) (1992) 15-29.
11. A.S. Morse, F.M. Pait, Mimo design models and internal regulators for cyclicly-switched parameter-adaptive control systems, IEEE Trans. Automat. Control 39(9) (1994) 1809-1818.
12. J.W. Polderman, I. Mareels, Adaptive Systems - An Introduction, Birkhäuser, Basel, 1996.
13. E.D. Sontag, A. Teel, Changing supply functions in input/state stable systems, IEEE Trans. Automat. Control 40(8) (1995) 1476-1478.
14. E.D. Sontag, Y. Wang, Detectability of nonlinear systems, Proc. 30th CISS, vol. 2, 1996, pp. 1031-1036.
15. E.D. Sontag, Y. Wang, New characterizations of input-to-state stability, IEEE Trans. Automat. Control 41(9) (1996) 1283-1294.
16. E.D. Sontag, Y. Wang, On characterizations of the input-to-state stability property, Systems Control Lett. 24 (1995) 351-359.
17. E.D. Sontag, Y. Wang, Output-to-state stability and detectability of nonlinear systems, Systems Control Lett. 29(5) (1997) 279-290.