Attractive regions with finite attraction time for contPNs

2011 19th Mediterranean Conference on Control and Automation, MED 2011

Volumn , Issue , 2011, Pages 618-623

  Lefebvre, D ^a   Leclercq, E ^a  

^a UNIVERSITY OF LE HAVRE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ADVANCED CONTROL; ATTRACTIVE REGION; DISCRETE TIME; FINITE TIME; GEOMETRIC APPROACHES; PIECEWISE CONSTANT CONTROL; PRACTICAL ISSUES; STABILITY ANALYSIS; STATE SPACE; UPPER AND LOWER BOUNDS;

DESIGN;

EID: 80052385059     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/MED.2011.5983032     Document Type: Conference Paper

References (18)

1. G H. Apaydin-Ozkan, J. Julvez, C. Mahulea, M. Silva, Approaching minimum time control of timed continuous Petri nets, Non Linear Analysis Hybrid Systems, 2011.
2. H. Benlaoukli and S. Olaru, "On the computation and bounding of invariant sets," in International Conference on Control, Automation and Systems ICCAS, Seoul, Korea, 2007.
3. H. Benlaoukli, M. Hovd, S. Olaru, and P. Boucher, "Invariant sets for PWA systems using transition graph," in 7th IEEE Int. Conf. on Control and Automation ICCA, Nouvelle Zélande, 2009.
4. F. Blanchini, "Set invariance in control," Automatica, vol. 35, no. 11, pp. 1747-1767, 1999. (Pubitemid 32078089)
5. F. Blanchini and S. Miani, Set-Theoretic Methods in Control. Birkhäuser, 2008.
6. R. David, H. Alla, Petri nets and grafcet - tools for modelling discrete events systems, Prentice Hall, London, 1992.
7. A. Giua, C. Mahulea, L. Recalde, C. Seatzu, M. Silva, Optimal control of continuous Petri nets via model predictive control, Proc. IEEE-WODES, Ann Arbor, Michigan, 2006.
8. L. Gruyitch., J.P. Richard, P. Borne, J.C. Gentina, Stability domains, Chapman & Hall, 2004.
9. E. Jimenez J. Julvez, L. Recalde, M. Silva, On controllability of timed continuous Petri nets systems: the join free case, Proc. IEEE-CDC, pp. 7645 - 7650, Seville, Spain, 2005.
10. D. Lefebvre, Feedback control designs of manufacturing systems modelled by continuous Petri nets, International Journal of Systems Science, vol. 30, no. 6, pp. 591-600, 1999.
11. D. Lefebvre, C. Delherm E. Leclercq F. Druaux, Some contributions with Petri nets for the modelling, analysis and control of HDS, Nonlinear Analysis, Elsevier, vol. 1 pp. 451 - 465, 2007
12. D. Lefebvre, E. Leclercq, N. El Akchioui, L. Khalij, E. Souza de Cursi, A geometric approach for the homothetic approximation of stochastic Petri nets, Proc. IFAC WODES 2010, pp 245-250, Berlin, Germany, 2010.
13. D. Lefebvre , E. Leclercq, Approximation of Stochastic Petri Nets steady state by continuous Petri nets with piecewiseconstant maximal firing speeds, Proc. IFAC - IEEE- MOSIM, Hammamet, Tunisie, 2010.
14. C. Mahulea, A. Ramirez-Trevino, L. Recalde, M. Silva, Steady state control reference and token conservation laws in continuous Petri net systems, IEEE - TASE, vol. 5, no. 2, pp. 307 - 320, 2008. (Pubitemid 351506276)
15. C. Renato Vazquez, A. Ramirez, L. Recalde, M. Silva, On controllability of timed continuous Petri nets, in HSCC 2008, M. Egerstedt and B. Misha (Eds.), pp. 528 - 541, Springer Verlag, Berlin, 2008.
16. C. Renato Vazquez, M. Silva, Piecewise-linear constrained control for timed continuous Petri nets, Proc. CDC-CCC, pp. 5714 - 5720, Shangai, 2009.
17. M. Silva and L. Recalde, Petri nets and integrality relaxations: a view of continuous Petri nets, Trans. IEEE - SMC, part C, Vol. 32, no. 4, pp. 314-326, 2002.
18. G. Júlvez, L. Recalde, M. Silva, Steady-state performance evaluation of continuous mono-T-semiflow Petri nets, Automatica, Vol. 41, no. 4, pp. 605-616, 2005. (Pubitemid 40266207)