Lyapunov based small-gain theorem for parameterized discrete-time interconnected ISS systems

Proceedings of the IEEE Conference on Decision and Control

Volumn 2, Issue , 2002, Pages 2292-2297

  Laila, Dina Shona ^a   Nešić, Dragan ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Discrete time; Input to state stability; Lyapunov method; Nonlinear; Small gain

Indexed keywords

COMPUTER SIMULATION; CONTROL SYSTEM ANALYSIS; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; LYAPUNOV METHODS; NONLINEAR CONTROL SYSTEMS; PARAMETER ESTIMATION; SAMPLED DATA CONTROL SYSTEMS; SYSTEM STABILITY; THEOREM PROVING;

DISCRETE TIME MODEL; FEEDBACK CONNECTION; FEEDBACK INTERCONNECTION; INPUT TO STATE STABILITY;

LARGE SCALE SYSTEMS;

EID: 0036993769     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. D. Angeli, E. D. Sontag and Y. Wang, "A characterization of integral input to state stability," IEEE TAC, vol.45 no. 6 pp. 1082-1097, 2000.
2. Z. P. Jiang, A. R. Teel and L. Praly, "Small-gain theorem for ISS systems and applications," Math. Control Signals Systems, vol. 7, pp 95-120, 1994.
3. Z. P. Jiang, I. M. Y. Mareels and Y. Wang, "A Lyapunov formulation of the nonlinear small-gain theorem for interconneced ISS systems," Automatica, vol. 32, no. 8, pp. 1211-1215, 1996.
4. Z. P. Jiang and Y. Wang, "Input-to-state stability for discrete-time nonlinear systems," Automatica, vol. 37, pp. 857-869, 2001.
5. D. Nešić, A. R. Teel and P. Kokotović, "Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations," Syst. Contr. Lett., vol. 38, pp. 259-270, 1999.
6. D. Nešić and D. S. Laila, "A note on input-to-state stabilization for nonlinear sampled-data systems," IEEE TAC, vol. 47, pp. 1153-1158, 2002.
7. D. S. Laila and D. Nešić, "Changing supply rates for input-output to state stable discrete-time nonlinear systems with applications", submitted for publication, 2001.
8. D. Nešić and A. R. Teel, "Changing supply functions in input-to-state stable systems: the discrete-time case", IEEE TAC, vol. 46, pp. 960-962, 2001.
9. 2-Gain and Passivity Techniques in Nonlinear Control, Springer, 2000.
10. E. D. Sontag "Smooth stabilization implies coprime factorization," IEEE TAC, vol. 34, pp. 435-443, 1989.
11. A. R. Teel, "A nonlinear small gain theorem for the analysis of control systems with saturation," IEEE TAC, vol. 41, pp. 1256-1270, 1996.
12. M. P. Tzamtzi and S. G. Tzafestas, "A small gain theorem for locally input to state stable interconnected systems," Jour. The Franklin Institute, vol. 336, pp. 893-901, 1999.