The notion of V-detectability and stabilization of invariant sets of nonlinear systems

Systems and Control Letters

Volumn 39, Issue 5, 2000, Pages 327-338

  Shiriaev, A S ^a,b  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b UNIVERSITY OF SOUTHERN DENMARK   (Denmark)

Author keywords

Invariant set stabilizability; Nonlinear systems; Swinging of pendulum; Zero state detectability

Indexed keywords

EID: 0002373319     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(99)00112-7     Document Type: Article

References (11)

1. C.I. Byrnes, A. Isidori, J.C. Willems, Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems, IEEE Trans. Automat. Control 36 (1991) 1228-1240.
2. A.L. Fradkov, Adaptive Control of Complex Systems, Moscow, Nauka, 1990 (in Russian).
3. A.L. Fradkov, I.A. Makarov, A.S. Shiriaev, O.P. Tomchina, Control of oscillations in Hamiltonian systems, Proceedings of the 4th European Control Conference, Brussels, 1997, the paper No. 328.
4. A.L. Fradkov, I.V. Miroshnik, V.O. Nikifirov, Nonlinear and Adaptive Control of Complex Systems, Kluwer Academic Publishers, Dordrecht, 1999.
5. A.L. Fradkov, A.Yu. Pogromsky, Introduction to Control of Oscillations and Chaos, World Scientific, Singapore, 1998.
6. P. Hartman, Ordinary Differential Equations, Wiley, New York, 1964.
7. D. Hill, P. Moylan, The stability of nonlinear dissipative systems, IEEE Trans. Automat. Control 21 (1976) 708-711.
8. R. Sepulchre, M. Janković, P.V. Kokotović, Constructive Nonlinear Control, Springer, Berlin, 1997.
9. A.S. Shiriaev, New tests of zero-state detectability, Proceedings of the 4th IFAC Symposium on Nonlinear Control Systems Design, Vol. 2, Enschede, The Netherlands, July 1998, pp. 533-538.
10. A.S. Shiriaev, Control of oscillations of a nonlinear systems in the sense of nonnegative functional, Dokl. Math. 59 (2) (1999) 334-336.
11. J.C. Willems, Dissipative dynamic systems. Part 1, general theory, Arch. Rat. Mech. Anal. 45 (5) (1972) 321-351.