Strict Lyapunov functions for time-varying systems

Automatica

Volumn 39, Issue 2, 2003, Pages 349-353

  Mazenc, F ^a  

^a INRIA   (France)

Author keywords

Lyapunov functions; Nonlinear systems; Time varying

Indexed keywords

LYAPUNOV METHODS; NONLINEAR CONTROL SYSTEMS; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); THEOREM PROVING;

CONTROL LAWS;

TIME VARYING CONTROL SYSTEMS;

EID: 0037293273     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(02)00233-9     Document Type: Article

References (15)

1. Aeyels, D., & Peuteman, J. (1997). New criteria for exponential and uniform asymptotic stability of nonlinear time-variant differential equations. Proceedings of the 36th IEEE conference on decision and control, San Diego.
2. Aeyels D., Peuteman J. A new asymptotic stability criterion for nonlinear time-variant differential equations. IEEE Transactions on Automatic Control. 43(7):1998;968-971.
3. Barbashin E.A., Krasovskii N.N. Doklady Akademii Nauk, SSSR. 86:1957;453-456. (in Russian).
4. Jankovic, M. (1999). Control Lyapunov-Razumikhin functions for time delay systems. Proceedings of the 38th IEEE conference on decision and control, Phoenix.
5. Jankovic M. Control Lyapunov-Razumikhin functions and robust stabilization of time delay systems. IEEE Transactions on Automatic Control. 46(7):2001;1048-1060.
6. Jiang Z.P., Nijmeijer H. Tracking control of mobile robots. A case study in backstepping Automatica. 33(7):1997;1393-1399.
7. LaSalle J.P. Stability theory for ordinary differential equations. Journal of Differential Equations. 4:1968;57-65.
8. Mazenc F. Interconnected nonlinear systems, local and global stabilization. Systems and Control Letters. 35(5):1998;317-323.
9. Mazenc F., Niculescu S. Lyapunov stability analysis for nonlinear delay systems. Systems and Control Letters. 42(4):2001;245-251.
10. Mazenc F., Praly L. Adding an integration and global asymptotic stabilization of feedforward systems. IEEE Transactions on Automatic Control. 41(11):1996;1559-1578.
11. Mazenc F., Praly L. Asymptotic tracking of a state reference for systems with a feedforward structure. Automatica. 36(2):2000;179-187.
12. Narendra K.S., Annaswamy A.M. Persistent excitation in adaptive systems. International Journal of Control. 45:1987;127-160.
13. Sepulchre R., Jankovic M., Kokotovic P.V. Constructive nonlinear control. 1996;Springer, Berlin.
14. Sontag E.D. A "universal" construction of Artstein's theorem on nonlinear stabilization. Systems and Control Letters. 13:1989;117-123.
15. Teel A.R. Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorems. IEEE Transactions on Automatic Control. 43(7):1998;960-964.