Uniform practical asymptotic stability of time-varying parameterized discrete-time cascades

Proceedings of the IEEE Conference on Decision and Control

Volumn 6, Issue , 2003, Pages 5973-5978

  Nešić, Dragan ^a   Loría, Antonio ^b  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b UNIV PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; CONTROL SYSTEM ANALYSIS; DIGITAL CONTROL SYSTEMS; LYAPUNOV METHODS; PARAMETER ESTIMATION; SYSTEM STABILITY; THEOREM PROVING; TIME VARYING CONTROL SYSTEMS;

INPUT TO STATE STABILITY (ISS); PARAMETERIZED SYSTEMS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 1542348509     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2003.1271966     Document Type: Conference Paper

References (12)

1. M. Arcak, D. Angeli, and E. Sontag. A unifying integral ISS framework for stability of nonlinear cascades. SIAM J. on Contr. and Opt., 40:888-1904, 2002.
2. Z-P. Jiang and Y. Wang. Input-to-state stability for discrete-time nonlinear systems. Automatica, 37(6):857-869, 2001.
3. H. Khalil. Nonlinear systems. Macmillan Publishing Co., 2nd ed. New York, 1996.
4. A. A. J. Lefeber, K. Y. Pettersen, and H. Nijmeijer. Tracking control of an underactuated ship. IEEE Trans. Contr. Syst. Technol., 11(1):52-62, 2003.
5. A. Loría and D. Nešić. On uniform boundedness of parameterized discrete-time systems with decaying inputs: applications to cascades. Syst. & Contr. Letters, 49(3): 163-174, 2003. In press.
6. D. Nešić and A. Loría. On uniform asymptotic stability of time-varying parameterized discrete-time cascades, eprint no. arXiv:math.OC/0307167, July 2003. Available from http://front.math.ucdavis.edu/math.OC/0307167.
7. D. Nešić, A. Teel, and P. Kokotović. Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations. Syst. & Contr. Letters, 38:259-270, 1999.
8. D. Nešić, A. Teel, and E. Sontag. Formulas relating script K sign script L sing. stability estimates of discrete-time and sampled-data nonlinear systems. Syst. & Contr. Letters, 38:49-60, 1999.
9. D. Nešić and A. R. Teel. A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models. IEEE Trans. on Automat. Contr., 2002. Accepted subject to minor modifications.
10. E. Panteley and A. Loría. Growth rate conditions for stability of cascaded time-varying systems. Automatica, 37(3):453-460, 2001.
11. E. D. Sontag. Remarks on stabilization and Input-to-State stability. In Proc. 28th. IEEE Conf. Decision Contr., pages 1376-1378, Tampa, F1, 1989.
12. E.D. Sontag and Y. Wang. On characterizations of the input-to-state stability property. Syst. & Contr. Letters, 24:351-359, 1995.