Finite time stability conditions for non-autonomous continuous systems

International Journal of Control

Volumn 81, Issue 5, 2008, Pages 797-803

  Moulay, E ^a   Perruquetti, W ^b  

^a INSTITUT DE RECHERCHE EN COMMUNICATIONS ET CYBERNÉTIQUE DE NANTES   (France)

^b ECOLE CENTRALE DE LILLE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

LYAPUNOV FUNCTIONS; SYSTEM STABILITY;

CONTINUOUS SYSTEMS; FINITE TIME STABILITY CONDITIONS; SUFFICIENT CONDITIONS;

AUTONOMOUS AGENTS;

EID: 41849099637     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170701650303     Document Type: Article

References (16)

1. S.P. Bhat and D.S. Bernstein, "Continuous finite-time stabilization of the translational and rotational, double integrator", IEEE Trans. Automat. Contr., 43, pp. 678-682, 1998.
2. S.P. Bhat and D.S. Bernstein, "Finite time stability of continuous autonomous systems", SIAM J. Contr. Optim, 38, pp. 751-766, 2000.
3. W. Hahn, Theory and Application of Liapunov's Direct Method, Upper Saddle River, NJ: Prentice-Hall Inc., 1963.
4. V.T. Haimo, "Finite time controllers", SIAM J. Contr. Optim, 24, pp. 760-770, 1986.
5. J.K. Hale, Ordinary Differential Equations, 2nd ed., Krieger: Pure and Applied Mathematics XXI, 1980.
6. Y. Hong, "Finite-time stabilization and stabilizability of a class of controllable systems", Syst. Contr. Lett., 46, pp. 231-236, 2002.
7. Y. Hong, J. Huang and Y. Xu, "On an output feedback finite-time stabilization problem", IEEE Trans. Automat. Contr., 46, pp. 305-309, 2001.
8. Y. Hong, Y. Xu and J. Huang, "Finite-time control for robot manipulators", Syst. Contr. Lett., 46, pp. 243-253, 2002.
9. H.K. Khalil, Nonlinear Systems, Upper Saddle River, NJ: Prentice-Hall, 1996.
10. A.M. Lyapunov, "Stability of Motion: General Problem", Internat. J. Contr., Lyapunov Centenary Issue, 55, pp. 520-790, 1992.
11. E. Moulay and W. Perruquetti, "Finite time stability of non-linear systems", in IEEE Conference on Decision and Control, Hawaii, USA, pp. 3641-3646, 2003.
12. E. Moulay and W. Perruquetti, "Finite time stability and stabilization of a class of continuous systems", J. Math. Anal. Appl., 323, pp. 1430-1443, 2006a.
13. E. Moulay and W. Perruquetti, "Finite-time stability and stabilization: state of the art", in Advances in Variable Structure and Sliding Mode Control, 334, Lecture Notes in Control and Information Sciences, Springer-Verlag, 2006b.
14. W. Perruquetti and S. Drakunov, "Finite time stability and stabilisation", in IEEE Conference on Decision and Control, Sydney, Australia, 2000, pp. 1894-1899.
15. E. Ryan, "Singular optimal controls for second-order saturating systems", Int. J. Contr., 3, pp. 549-564, 1979.
16. V.I. Utkin, Sliding Modes in Control Optimization, Berlin: Springer-Verlag, 1992.