JournalsaihpcVol. 6pp. 49–71

A Variational Convergence that Yields Chattering Systems

  • Z. Artstein

    Department of Theoretical Mathematics, The Weizmann Institute of Science, Rehovot 76100, Israël
A Variational Convergence that Yields Chattering Systems cover
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Abstract

Chattering variational problems are introduced and employed as limits of a variational convergence mode which is compact and preserves the optimal values. The phenomenon arises in systems with highly oscillatory coefficients. Robustness of, and approximations to, optimal controls in such cases are examined.

Cite this article

Z. Artstein, A Variational Convergence that Yields Chattering Systems. Ann. Inst. H. Poincaré Anal. Non Linéaire 6 (1989), pp. 49–71

DOI 10.1016/S0294-1449(17)30035-5