Stabilization and finite-gain stabilizability of delay linear systems subject to input saturation

Lecture Notes in Control and Information Sciences

Volumn 352, Issue , 2007, Pages 329-341

  Yakoubi, Karim ^a   Chitour, Yacine ^a  

^a UNIV PARIS SUD   (France)

Author keywords

Finite gain stability; Linear continuous time delay systems; Lyapunov functions; Saturated feedback; Stabilization; Time delay systems

Indexed keywords

EID: 34247143325     PISSN: 01708643     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-49556-7_20     Document Type: Article

References (15)

1. Liu W., Chitour Y., Sontag E.D. (1996) On finite-gain stabilizability of linear systems subject to input saturation. Siam J. Control &: Optimazation 34(4):1190-1219
2. Mazenc F., Mondie S., Niculescu S. (2003) Global Asymptotic Stabilization for Chains of Integrators with a Delay in the Input. IEEE Transactions on Automatic Control 48(1):57-63
3. Mazenc F., Mondie S., Niculescu S. (2002) Global Stabilization of oscillators with bounded Delayed Input. In Proc. 41th IEEE Conference on decision and control, Las Vegas, Nevada
4. 2- bounded. In Proc. IFAC World Congress, San Francisco, California
5. Niculescu S.-I. (2001) Delay effects on stability: a control perspective. Lecture Notes in Control and Information, Springer-Verlag, Berlin Heidelberg New York
6. Sontag E.D., Sussmann H.J. (1990) Nonlinear output feedback design for linear systems with saturating controls. In Proc. IEEE Conf. Decision and Control, pp. 3414-3416, Honolulu, Haiwai
7. Reed M., Simon B. (1978) Methods of modern Mathematical Physics, Analysis of operators. Academic Press, New York
8. Saberi A., Hou P., Stoorvogel A. A. (2000) On simultaneous global external and global internal stabilization of critically unstable linear systems with saturating actuators. IEEE Transactions on Automatic Control 45(6):117-135
9. Sontag E.D. (1988) Comments on integral variants of ISS. Systems & Control Letters 43:93-100
10. Sontag E.D. (1994) Mathematical control theory: Deterministic Finite Dimensional systems. Springer Verlag, Berlin Heidelberg New York
11. Sussmann H.J., Sontag E.D., Yang Y. (1994) A general result on the stabilization of linear systems using bounded controls. IEEE Transactions Automatic Control 39:2411-2425
12. Teel A. (1992) Global stabilization and restricted tracking for multiple integrators with bounded controls. Systems &: Control Letters 18:165-171
13. Van Der Schaft A.J. (1996) L2-gain and passivity techniques in nonlinear control. Lecture Notes in Control and Information Sciences, Springer-Verlag, Berlin Heidelberg New York
14. Yakoubi K., Chitour Y. (2006) Linear systems subject to input saturation and time delay: Global asymptotic stabilization. Submitted
15. p-stabilization. Submitted