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

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Abstract

This paper is concerned with the nonlocal controllability for the second-order semilinear fuzzy integrodifferential control systems with nonlocal initial conditions. The results are obtained 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.

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Acknowledgments

The author wishes to express his deep gratitude to the anonymous referees for their useful suggestions and remarks for improving the original manuscript.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India

    Mohit Kumar

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  1. Mohit Kumar
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Correspondence to Mohit Kumar.

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Communicated by V. Loia.

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Kumar, M. Controllability of second-order semilinear fuzzy integrodifferential control systems with nonlocal initial conditions. Soft Comput 19, 1829–1841 (2015). https://doi.org/10.1007/s00500-014-1367-9

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  • DOI: https://doi.org/10.1007/s00500-014-1367-9

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