Exact null controllability of semilinear evolution systems

Exact null controllability of semilinear evolution systems

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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:
Keywords: evolutionary algorithms, global optimization, Hilbert space, optimal control
Abstract:

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.

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