A systematic method to obtain ultimate bounds for perturbed systems

International Journal of Control

Volumn 80, Issue 2, 2007, Pages 167-178

  Kofman, E ^a   Haimovich, H ^b   Seron, M M ^a  

^a UNIVERSIDAD NACIONAL DE ROSARIO   (Argentina)

^b UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR SYSTEMS; LYAPUNOV METHODS; MODAL ANALYSIS; PERTURBATION TECHNIQUES;

NON-LINEAR FUNCTION; STATE-DEPENDENT PERTURBATION BOUNDS; SYSTEM GEOMETRY;

SYSTEMS ANALYSIS;

EID: 33751159397     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170600611265     Document Type: Article

References (16)

1. F. Bullo and D. Liberzon, "Quantized control via locational optimization", IEEE Trans. on Automatic Control, 51(1), pp. 2-13, 2006.
2. H. Haimovich, E. Kofman and M.M. Seron, "Systematic ultimate bound computation for perturbed sampled-data systems", Technical Report EE06006, The University of Newcastle, Australia, 2006. http://www.eecs.newcastle.edu.au/ cgi-bin/report_db/new_search.cgi
3. S. Huang, M.R. James, D. Nešić and P.M. Dower, "Analysis of input to state stability for discrete-time nonlinear systems via dynamic programming", Automatica, 41, pp. 2055-2065, 2005.
4. Z.P. Jiang and Y. Wang, "Input-to-state stability for discrete-time nonlinear systems", Automatica, 37, pp. 857-869, 2001.
5. H. Khalil, Nonlinear Systems, 3rd edn, New Jersey: Prentice-Hall, 2002.
6. E. Kofman, "A second order approximation for DEVS simulation of continuous systems", Simulation, 78, pp. 76-89, 2002.
7. E. Kofman, "Quantized-state control. A method for discrete event control of continuous systems", Latin American Applied Research, 33, pp. 399-406, 2003.
8. E. Kofman, "Non conservative ultimate bound estimation in LTI perturbed systems", Automatica, 41, pp. 1835-1838, 2005.
9. D.S. Laila, D. Nešić and A.R. Teel, "Open and closed loop dissipation inequalities under sampling and controller emulation", Euro. J. Contr., 18, pp. 109-125, 2002.
10. D. Nešić, A.R. Teel and P.V. Kokotović, "Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations", Systems and Control Lett., 38, pp. 259-270, 1999.
11. S. Oucheriah, "Robust tracking and model following of uncertain dynamic delay systems by memoriless linear controllers", IEEE Trans. Automat. Contr., 44, pp. 1473-1477, 1999.
12. 2 disturbance attenuation for nonlinear systems", Automatica, 38, pp. 139-145, 2002.
13. E.D. Sontag, "Smooth stabilization implies coprime factorization", IEEE Trans. on Automatic Control, 34, pp. 435-443, 1989.
14. E.D. Sontag and Y. Wang, "On characterizations of the input-to-state stability property", Systems and Control Lett., 24, pp. 351-359, 1995.
15. G. Walsh, O. Beldiman and L. Bushnell, "Error encoding algorithms for networked control systems", Automatica, 38, pp. 261-267, 2002.
16. W.S. Wong and R.W. Brockett, "Systems with finite communication bandwidth constraints - II: stabilization with limited information feedback", IEEE Trans. on Auto. Contr., 44, pp. 1049-1053, 1999.