Full Averaging of Control Fuzzy Integrodifferential Inclusions with Terminal Criterion of Quality

作者: Tatyana A. Komleva , Andrej V. Plotnikov

DOI:

关键词:

摘要: In this paper we consider the fu zzy control system with terminalqualitycriterion (Mayer's fuzzy problem) when behaviour of is described by thefuzzy controlled integrodifferential inclusion a small parameter. We use an averaging method Kry lov-Bogolyubov and set in correspondence to given problem Mayer's ll-averaged that more simple for solving. receive conditions optimal solutions these problems are close.

参考文章(23)
Pierre Lochak, Claude Meunier, Multiphase Averaging for Classical Systems Applied Mathematical Sciences. ,(1988) , 10.1007/978-1-4612-1044-3
Ferdinand Verhulst, Jan A. Sanders, Averaging Methods in Nonlinear Dynamical Systems ,(1985)
Jin Han Park, Jong Seo Park, Young Chel Ahn, Young Chel Kwun, Controllability for the Impulsive Semilinear Fuzzy Integrodifferential Equations Advances in Soft Computing. ,vol. 40, pp. 704- 713 ,(2007) , 10.1007/978-3-540-71441-5_76
Jin Han Park, Jong Seo Park, Young Chel Kwun, Controllability for the Semilinear Fuzzy Integrodifferential Equations with Nonlocal Conditions Fuzzy Systems and Knowledge Discovery. ,vol. 4223, pp. 221- 230 ,(2006) , 10.1007/11881599_25
Madan L Puri, Dan A Ralescu, Fuzzy random variables Journal of Mathematical Analysis and Applications. ,vol. 114, pp. 409- 422 ,(1986) , 10.1016/0022-247X(86)90093-4
V.A. Baidosov, Fuzzy differential inclusions Journal of Applied Mathematics and Mechanics. ,vol. 54, pp. 8- 13 ,(1990) , 10.1016/0021-8928(90)90080-T
V. S. Vasil’kovskaya, A. V. Plotnikov, Integro-differential systems with fuzzy noise Ukrainian Mathematical Journal. ,vol. 59, pp. 1482- 1492 ,(2007) , 10.1007/S11253-008-0005-Z
Young Chel Kwun, Jeong Soon Kim, Min Ji Park, Jin Han Park, Controllability for the Impulsive Semilinear Nonlocal Fuzzy Integrodifferential Equations in -Dimensional Fuzzy Vector Space Advances in Difference Equations. ,vol. 2010, pp. 983483- ,(2010) , 10.1155/2010/983483