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Controllability of impulsive second order semilinear fuzzy integrodifferential control systems with nonlocal initial conditions
Affiliation:1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, India;2. Department of Mathematics, Ch. Charan Singh University, Meerut 250004, Uttar Pradesh, India;1. Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetsky av. 28, Stary Peterhof, 198504, St. Petersburg, Russia;2. Information Technology, Uppsala University, SE-751 05 Uppsala, Sweden;1. Department of Mathematics, Kohat University of Science & Technology, Kohat 26000, Khyber Pukhtunkhwa, Pakistan;2. Department of Mathematical Sciences, University of Essex, Wivenhoe Park, CO4 3SQ Colchester, UK;1. Department of Industrial Engineering, Erciyes University, Kayseri, Turkey;2. Department of Industrial Engineering, Dokuz Eylul University, Izmir, Turkey;1. Polytechnique Montréal Researchers in Software Engineering, École Polytechnique de Montréal, Canada;2. Department of Applied Economics (Mathematics), Universidad de Málaga, Spain;3. Department of Statistics and Operational Research, Universitat de València, Spain;1. Stability of Processes Department, S.P. Timoshenko Institute of Mechanics of NAS of Ukraine, Nesterov str. 3, 03680, MSP, Kiev 57, Ukraine;2. Department of Economical Cybernetics, Cherkassy National University, Ukraine
Abstract: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 EN. An example is given to illustrate the results.
Keywords:Controllability  Integrodifferential system  Fuzzy solution  Nonlocal initial condition  Impulsive condition  Banach fixed point theorem
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