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Fuzzy optimal control. (English) Zbl 0751.93056
Summary: The problem of fuzzy optimal control of nonlinear systems is formulated and solved on the basis of fuzzy mathematical programming. The fuzzy optimal control problem is extended to the case of multicriteria optimal control. A particular case of fuzzy optimal control with fuzzy objective function and crisp transversality conditions is also considered.

MSC:
93C42 Fuzzy control/observation systems
49J99 Existence theories in calculus of variations and optimal control
90C70 Fuzzy and other nonstochastic uncertainty mathematical programming
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[1] Bellman, R.E.; Zadeh, L.A., Decision making in a fuzzy environment, Management sci. ser. B, 17, 141-164, (1970) · Zbl 0224.90032
[2] Luhandjula, M.K., Fuzzy optimization: an appraisal, Fuzzy sets and systems, 30, 257-282, (1989) · Zbl 0677.90088
[3] Singh, M.G.; Tittli, A., Systems: decomposition, optimization and control, (1980), Pergamon Press New York
[4] Werners, B., Interactive multiple objective programming subject to flexible constraints, European J. oper. res., 31, 342-349, (1987) · Zbl 0636.90085
[5] Zimmermann, H.-J., Application of fuzzy set theory to mathematical programming, Inform. sci., 36, 28-59, (1985)
[6] Zimmermann, H.-J., Fuzzy mathematical programming, Comput. and oper. res., 10, 291-298, (1983)
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