Continuous control-Lyapunov functions for asymptotically controllable time-varying systems

International Journal of Control

Volumn 72, Issue 18, 1999, Pages 1630-1641

  Albertini, Francesca ^a   Sontag, E ^b  

^a UNIVERSITY OF PADOVA   (Italy)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROLLABILITY; DIFFERENTIAL EQUATIONS; LYAPUNOV METHODS; STATE SPACE METHODS; SYSTEM STABILITY; THEOREM PROVING;

CONTINUOUS CONTROL-LYAPUNOV FUNCTION;

TIME VARYING CONTROL SYSTEMS;

EID: 0343081544     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071799219977     Document Type: Article

References (11)

1. ärstein, Z., 1978, Relaxed controls and dynamics of control systems. SIAM Journal of Control and Optimization, 16, 689-701.
2. ärstein, Z., 1983, Stabilization with relaxed controls. Nonlinear Analysis, TMA7, 1163-1173.
3. Clarke, F. H., Ledyaev, Yu. S., Söntag, E. D., and Subbotin, A. I., Asymptotic controllability implies feedback stabilization. IEEE Transactions on Automatic Control, 42, 1394-1407.
4. Hahn, W., 1967, Stability of Motion (Berlin, Heidelberg, New York: Springer-Verlag).
5. Isidori, ä., 1989, Nonlinear Control Systems, Third Edition (London: Springer-Verlag).
6. Krstic, M., Kanellakopoulos, I., and Kokotovic, P., 1995, Nonlinear and Adaptive Control Design (New York: Wiley).
7. Krstic, M., and Deng, H., 1998, Stabilization of Uncertain Nonlinear Systems (London: Springer-Verlag).
8. Lin, Y., Sontag, E. D., and Wang, Y., A smooth converse Lyapunov theorem for robust stability. SIAM Journal of Control and Optimization, 34: 124-160.
9. Sontag, E. D., 1983, A Lyapunov-like characterization of asymptotic controllability. SIAM Journal of Control and Optimization, 21, 462-471.
10. Sontag, E. D., 1998, Mathematical Control Theory, Deterministic Finite Dimensional Systems, Second Edition (New York: Springer-Verlag).
11. Sontag, E. D., 1999, Stability and stabilization: Discontinuities and the effect of disturbances. Proceedings of NATO Advanced Study Institute ‘Nonlinear Analysis, Differential Equations, and Control’, Montreal, Jul/Aug 1998 (Kluwer), pp. 551-598.