Controllability of stochastic systems with distributed delays in control |
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| Authors: | K. Balachandran J.Y. Park |
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| Affiliation: | 1. Department of Mathematics , Bharathiar University , Coimbatore, India;2. Department of Mathematics , Pusan National University , Pusan, Korea;3. Department of Mathematics , Pusan National University , Pusan, Korea |
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| Abstract: | In this article, we are concerned with the problem of relative controllability for non-linear stochastic systems with distributed delays in control in finite-dimensional spaces. Sufficient criteria for the relative controllability of the non-linear stochastic system are established. Some special cases are also considered. The results are obtained by using the Banach fixed point theorem. An example is provided to illustrate the technique. |
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| Keywords: | relative exact controllability distributed control delays Banach fixed point theorem |
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