Article ID: | iaor20134041 |
Volume: | 56 |
Issue: | 2 |
Start Page Number: | 317 |
End Page Number: | 326 |
Publication Date: | Jun 2013 |
Journal: | Journal of Global Optimization |
Authors: | Mahmudov Nazim |
Keywords: | evolutionary algorithms, global optimization, Hilbert space, optimal control |
We study the exact null controllability for the abstract evolution equations in Hilbert spaces. Assuming the exact null controllability of the corresponding linearized equation we obtain sufficient conditions for the exact null controllability of the semilinear evolution equation. The results we obtained are generalization and continuation of the recent results on this issue. In the end, an example is given to show the application of our result.