Asymptotic tracking for constrained monotone systems

IEEE Transactions on Automatic Control

Volumn 51, Issue 5, 2006, Pages 873-879

  Chisci, L ^a   Falugi, P ^a  

^a UNIVERSITY OF FLORENCE   (Italy)

Author keywords

Contraints; Monotone systems; Nonlinear systems; Output feedback; Stabilization methods; Tracking

Indexed keywords

ASYMPTOTIC STABILITY; CONTROL SYSTEM SYNTHESIS; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; NONLINEAR CONTROL SYSTEMS; PIECEWISE LINEAR TECHNIQUES; STATE ESTIMATION;

ASYMPTOTIC TRACKING; CONSTRAINED MONOTONE SYSTEMS; INPUT CONSTRAINTS; OUTPUT FEEDBACK; STATE CONSTRAINTS;

CONSTRAINT THEORY;

EID: 33646939526     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2006.874994     Document Type: Article

References (16)

1. H. Smith, Monotone Dynamical Systems: An introduction to the Theory of Competitive and Cooperative Systems. Providence, RI: AMS, 1995, vol. 41, Mathematical Surveys and Monographs.
2. S. Smale, "On the differential equations of species in competition," J. Math. Biol., vol. 3, pp. 5-7, 1976.
3. M.W. Hirsch, "Stability and convergence in strongly monotone dynamical systems," J. Reine Angew. Math., vol. 383, pp. 1-15, 1988.
4. D. Angeli and E. D. Sontag, "Interconnections of monotone systems with steady-state characteristics," in Optimal Control, Stabilization, and Nonsmooth Analysis, M. De Queiroz, M. Malisoff, and P. Wolenski, Eds. Heidelberg, Germany: Springer-Verlag, 2004, pp. 135-154.
5. D. Angeli and E. D. Sontag, "Multi-stability in monotone I/O systems," Syst. Control Lett., vol. 51, pp. 185-202, 2004.
6. D. G. Luenberger, Introduction to Dynamic Systems: Theory, Models and Applications. New York: Wiley, 1979.
7. S. Muratori and S. Rinaldi, "Excitability, stability and sign of equilibria inpositive linear systems," Syst. Control Lett., vol. 16, pp. 59-63, 1991.
8. L. Farina and S. Rinaldi, Positive Linear Systems: Theory and Applications. New York: Wiley, 2000.
9. C. Piccardi and S. Rinaldi, "Remarks on excitability, stability and sign of equilibria incooperative systems," Syst. Control Lett., vol. 46, pp. 153-163, 2002.
10. F. Blanchini, "Set invariance in control," Automatica, vol. 35, pp. 1747-1767, 1999.
11. J. A. Primbs, V. Nevistic, and J. C. Doyle, "A receding horizon generalization of pointwise min-norm controllers," IEEE Trans. Autom. Control, vol. 45, no. 5, pp. 898-909, May 2000.
12. B. A. Davey and H. A. Priestley, Introduction to Lattices and Order. Cambridge, U.K.: Cambridge Univ. Press, 2002.
13. P. De Leenheer, D. Angeli, and E. D. Sontag, "A tutorial on monotone systems with anapplication to chemical reaction networks," in Proc. 16th Int. Symp. Mathematical Theory of Networks and Systems (MTNS), Leuven, Belgium, 2004, pp. 2965-2970.
14. E. D. Sontag, "A remark on the converging-input converging-state property," IEEE Trans. Autom. Control, vol. 48, no. 2, pp. 313-314, Feb. 2003.
15. L. Chisci and P. Falugi, "Tracking control for constrained monotone systems," in Preprints 16th IFAC World Congr., Prague, Czech Republic, 2005.
16. H. Kunze and D. Siegel, A Graph Theoretical Approach to Monotonicity with Respect to Initial Conditions, X. Liu and D. Siegel, Eds. New York: Marcel Dekker, 1994, Comparison Methods and Stability Theory.