CHATTERING VARIATIONAL LIMITS OF CONTROL-SYSTEMS

被引：17

作者：

ARTSTEIN, Z

机构：

来源：

FORUM MATHEMATICUM | 1993年 / 5卷 / 04期

关键词：

D O I：

10.1515/form.1993.5.369

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Variational convergence is developed for optimal control problems depending on time-varying parameters. Systems with chattering parameters serve then as variational limits when the parameters are rapidly oscillating. Continuity of the value, robustness of controls and continuous dependence of optimal controls are examined.

引用

页码：369 / 403

页数：35

共 24 条

[1] ACERBI E, 1987, J MATH PURE APPL, V62, P371
[2] Ambrosetti A., 1976, B UNIONE MAT ITAL, V13, P352
[3] RAPID OSCILLATIONS, CHATTERING SYSTEMS, AND RELAXED CONTROLS
ARTSTEIN, Z
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1989, 27 (05) : 940 - 948
[4] DISTRIBUTIONS OF RANDOM SETS AND RANDOM SELECTIONS
ARTSTEIN, Z
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1983, 46 (04) : 313 - 324
[5] Artstein Z., 1989, Mathematics of Control, Signals, and Systems, V2, P359, DOI 10.1007/BF02551277
[6] ARTSTEIN Z, 1989, ANN I H POINCARE A S, V6, P49
[7] Ash R. B., 2014, REAL ANAL PROBABILIT
[8] Attouch H., 1984, VARIATIONAL CONVERGE
[9] Bensoussan A., 1988, PERTURBATION METHODS
[10] Bensoussan A., 1978, ASYMPTOTIC ANAL PERI

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