Controllability for Systems with Slowly Varying Parameters

Fritz Colonius; Roberta Fabbri

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 9, page 207-216
  • ISSN: 1292-8119

Abstract

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For systems with slowly varying parameters the controllability behavior is studied and the relation to the control sets for the systems with frozen parameters is clarified.

How to cite

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Colonius, Fritz, and Fabbri, Roberta. "Controllability for Systems with Slowly Varying Parameters." ESAIM: Control, Optimisation and Calculus of Variations 9 (2010): 207-216. <http://eudml.org/doc/90692>.

@article{Colonius2010,
abstract = { For systems with slowly varying parameters the controllability behavior is studied and the relation to the control sets for the systems with frozen parameters is clarified. },
author = {Colonius, Fritz, Fabbri, Roberta},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Control sets; control bundles; singular perturbations.; control sets; singular perturbations},
language = {eng},
month = {3},
pages = {207-216},
publisher = {EDP Sciences},
title = {Controllability for Systems with Slowly Varying Parameters},
url = {http://eudml.org/doc/90692},
volume = {9},
year = {2010},
}

TY - JOUR
AU - Colonius, Fritz
AU - Fabbri, Roberta
TI - Controllability for Systems with Slowly Varying Parameters
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 9
SP - 207
EP - 216
AB - For systems with slowly varying parameters the controllability behavior is studied and the relation to the control sets for the systems with frozen parameters is clarified.
LA - eng
KW - Control sets; control bundles; singular perturbations.; control sets; singular perturbations
UR - http://eudml.org/doc/90692
ER -

References

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  10. S.M. Grünvogel, Lyapunov exponents and control sets near singular points. J. Differential Equations (to appear).  
  11. H.K. Khalil, Nonlinear Systems. Prentice Hall (1996).  
  12. P.V. Kokotovic, H.K. Khalil and J. O'Reilly, Singular Perturbation Methods in Control: Analysis and Design. Academic Press (1986).  
  13. M.S. Soliman and J.M.T. Thompson, Stochastic penetration of smooth and fractal basin boundaries under noise excitation. Dynam. Stability Systems5 (1990) 281-298.  
  14. D. Szolnoki, Algorithms for Reachability Problems, Dissertation. Institut für Mathematik, Universität Augsburg, Augsburg (2001).  
  15. D. Szolnoki, Set oriented methods for computing reachable sets and control sets. Discrete Contin. Dynam. Systems Ser. B (submitted).  
  16. A. Vigodner, Limits of singularly perturbed control problems with statistical dynamics of fast motions. SIAM J. Control Optim.35 (1997) 1-28.  

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