A variational convergence that yields chattering systems

S. Artstein

Annales de l'I.H.P. Analyse non linéaire (1989)

  • Volume: S6, page 49-71
  • ISSN: 0294-1449

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Artstein, S.. "A variational convergence that yields chattering systems." Annales de l'I.H.P. Analyse non linéaire S6 (1989): 49-71. <http://eudml.org/doc/78208>.

@article{Artstein1989,
author = {Artstein, S.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Chattering variational problems; variational convergence; highly oscillatory coefficients},
language = {eng},
pages = {49-71},
publisher = {Gauthier-Villars},
title = {A variational convergence that yields chattering systems},
url = {http://eudml.org/doc/78208},
volume = {S6},
year = {1989},
}

TY - JOUR
AU - Artstein, S.
TI - A variational convergence that yields chattering systems
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1989
PB - Gauthier-Villars
VL - S6
SP - 49
EP - 71
LA - eng
KW - Chattering variational problems; variational convergence; highly oscillatory coefficients
UR - http://eudml.org/doc/78208
ER -

References

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  1. [1] Z. Artstein, Topological dynamics of an ordinary differential equation. J. Differential Equations23, 1977, 216-223. Zbl0353.34043MR432984
  2. [2] Z. Artstein, Distributions of random sets and random selections. Israel J. Math.46, 1983, 313-324. Zbl0545.60018MR730347
  3. [3] M. Athans and P.L. Falb, Optimal Control. McGraw Hill, New York, 1966. Zbl0196.46303MR204181
  4. [4] H. Attouch, Variational Convergence for Functions and Operators. Pitman, Applicable Mathematics Series, Boston, 1984. Zbl0561.49012MR773850
  5. [5] P. Billingsley, Convergence of Probability Measures. John Wiley, New York, 1968. Zbl0172.21201MR233396
  6. [6] G. Buttazzo, Some relaxation problems in optimal control theory. J. Math. Anal. Appl.125, 1987, 272-287. Zbl0633.49007MR891367
  7. [7] G. Buttazzo, Relaxation and Γ-limits in optimal control theory. Lecture in the Congrés Franco-Quebecois D'Analyse Non Linéaire Appliquée, Perpignan, Juin 1987. 
  8. [8] G. Buttazzo and G. Dal Maso, r-convergence and optimal control problems. J. Optimiz. Theory Appl.38, 1982, 385-407. Zbl0471.49012MR686213
  9. [9] J.I. Gikhman, On a theorem of N.N. Bogolyubov. Ukranain Math. J.4 (2), 1952, 215-218. 
  10. [10] J. Kurzweil, Generalized ordinary differential equations. Czech. Math. J.8, 1958, 360-388. Zbl0094.05804MR111878
  11. [11] G. Scorza Dragoni, Una theorema sulla funzioni continue rispetto ad una i misurable rispetto at ultra variable. Rend. Sem. Mat. Univ. Padova17, 1948, 102-106. Zbl0032.19702MR28385
  12. [12] J. Warga, Optimal Control of Differential and Functional Equations. Academic Press, New York1972. Zbl0253.49001
  13. [13] L.C. Young, Calculus of Variations and Optimal Control Theory. W.B. Saunders, Philadelphia1969. Zbl0177.37801

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