Averaging of Impulsive Differential Inclusions with Fuzzy Right-Hand Sides

作者: N. V. Skripnik

DOI: 10.1007/S11253-015-1049-5

关键词:

摘要: We substantiate the possibility of application method averaging on a finite interval to impulsive differential inclusions with fuzzy right-hand sides containing small parameter. In case periodic sides, it is shown that estimate can be improved.

参考文章(16)
Tatyana A. Komleva, Andrej V. Plotnikov, Full Averaging of Control Fuzzy Integrodifferential Inclusions with Terminal Criterion of Quality International Journal of Control Science and Engineering. ,vol. 3, pp. 68- 72 ,(2013)
V. Lakshmikantham, Ram N. Mohapatra, Theory of Fuzzy Differential Equations and Inclusions ,(2003)
V. Lakshmikantham, A.A. Tolstonogov, Existence and interrelation between set and fuzzy differential equations Nonlinear Analysis-theory Methods & Applications. ,vol. 55, pp. 255- 268 ,(2003) , 10.1016/S0362-546X(03)00228-1
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
Robert J Aumann, INTEGRALS OF SET-VALUED FUNCTIONS Journal of Mathematical Analysis and Applications. ,vol. 12, pp. 1- 12 ,(1965) , 10.1016/0022-247X(65)90049-1
Jong Yeoul Park, Hyo Keun Han, EXISTENCE AND UNIQUENESS THEOREM FOR A SOLUTION OF FUZZY DIFFERENTIAL EQUATIONS International Journal of Mathematics and Mathematical Sciences. ,vol. 22, pp. 271- 279 ,(1999) , 10.1155/S0161171299222715
Eyke Hüllermeier, An Approach to Modelling and Simulation of Uncertain Dynamical Systems International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. ,vol. 5, pp. 117- 138 ,(1997) , 10.1142/S0218488597000117
A.V. Plotnikov, Averaging of Fuzzy Controlled Differential Inclusions with Terminal Quality Criterion Journal of Mathematical Sciences. ,vol. 197, pp. 108- 113 ,(2014) , 10.1007/S10958-014-1706-5