Controllability of impulsive second order semilinear fuzzy integrodifferential control systems with nonlocal initial conditions

被引:8
作者
Kumar, Mohit [1 ]
Kumar, Sandeep [2 ]
机构
[1] Indian Inst Technol, Dept Math, Roorkee 247667, Uttar Pradesh, India
[2] Ch Charan Singh Univ, Dept Math, Meerut 250004, Uttar Pradesh, India
关键词
Controllability; Integrodifferential system; Fuzzy solution; Nonlocal initial condition; Impulsive condition; Banach fixed point theorem; EXISTENCE; EQUATIONS; UNIQUENESS; INCLUSIONS;
D O I
10.1016/j.asoc.2015.10.006
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, the controllability for a class of impulsive second order semilinear fuzzy integrodifferential control systems with nonlocal initial conditions has been considered. The sufficient conditions for the controllability are established by using the Banach fixed point theorem and the fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in E-N. An example is given to illustrate the results. (C) 2015 Elsevier B.V. All rights reserved.
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页码:251 / 265
页数:15
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