On uniform boundedness of parameterized discrete-time systems with decaying inputs: Applications to cascades

Systems and Control Letters

Volumn 49, Issue 3, 2003, Pages 163-174

  Loría, Antonio ^a   Nešić, Dragan ^b  

^a ENSIEG   (France)

^b UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Cascaded systems; Discrete time; Integral input to state stability; Stability; Time varying

Indexed keywords

CASCADE CONTROL SYSTEMS; CONTROL EQUIPMENT; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS;

UNIFORM BOUNDEDNESS;

SAMPLED DATA CONTROL SYSTEMS;

EID: 0038181084     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(02)00319-5     Document Type: Article

References (23)

1. Angeli D. Intrinsic robustness of global asymptotic stability. System Control Lett. 38:1999;297-307.
2. Angeli D., Nešić D. Power characterizations of ISS and integral ISS. IEEE Trans. Automat. Control. 46:2001;1298-1303.
3. Angeli D., Sontag E. Forward completeness, unboundedness observability, and their Lyapunov characterizations. System Control Lett. 38:1999;209-217.
4. Angeli D., Sontag E., Wang Y. A characterization of integral input to state stability. IEEE Trans. Automat. Control. 45:2000;1082-1097.
5. Arcak M., Angeli D., Sontag E. A unifying integral ISS framework for stability of nonlinear cascades. SIAM J. Control Optim. 40:2002;888-1904.
6. Isidori A. Nonlinear Control Systems. 3rd Edition:1995;Springer, Berlin.
7. Jiang Z-P., Wang Y. Input-to-state stability for discrete-time nonlinear systems. Automatica. 37(6):2001;857-869.
8. Kokotović P.V., Sussmann H.J. A positive real condition for global stabilization of nonlinear systems. System Control Lett. 13(4):1989;125-133.
9. A. Loría, D. Nešić, On necessary and sufficient conditions for UGAS of discrete-time parameterized systems, Technical Report, LSS, 2002.
10. A. Loría, D. Nešić, On uniform asymptotic stability of time-varying parameterized discrete-time cascades, Technical Report, LSS, submitted to IEEE Trans. Automat. Control.
11. A. Loría, D. Nešić, Stability of time-varying discrete-time cascades, in: Proceedings of the 15th. IFAC World Congress, Barcelona, Spain, 2002, Paper No. 652.
12. Mazenc F., Praly L. Adding integrators, saturated controls and global asymptotic stabilization of feedforward systems. IEEE Trans. Automat. Control. 41(11):1996;1559-1579.
13. Nešić D., Teel A., Kokotović P. Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations. System Control Lett. 38:1999;259-270.
14. Nešić D., Teel A., Sontag E. Formulas relating script K sign ℒ stability estimates of discrete-time and sampled-data nonlinear systems System Control Lett. 38:1999;49-60.
15. D. Nešić, A.R. Teel, A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models. IEEE Trans. Automat. Control, accepted subject to minor modifications.
16. Panteley E., Loría A. On global uniform asymptotic stability of non linear time-varying non autonomous systems in cascade. System Control Lett. 33(2):1998;131-138.
17. Panteley E., Loría A. Growth rate conditions for stability of cascaded time-varying systems. Automatica. 37(3):2001;453-460.
18. Sansone G., Conti R. Nonlinear Differential Equations. 1964;Pergamon Press, Oxford, England.
19. Seibert P., Suárez R. Global stabilization of nonlinear cascaded systems. System Control Lett. 14:1990;347-352.
20. Sepulchre R., Janković M., Kokotović P. Constructive Nonlinear Control. 1997;Springer, New York.
21. Sontag E. Smooth stabilization implies coprime factorization. IEEE Trans. Automat. Control. 34(4):1989;435-443.
22. Sontag E.D. Comments on integral variants of ISS. System Control Lett. 34:1998;93-100.
23. Sussman H.J., Kokotović P.V. The peaking phenomenon and the global stabilization of nonlinear systems. IEEE Trans. Automat. Control. 36(4):1991;424-439.