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Approximate controllability of semilinear non-autonomous evolutionary systems with nonlocal conditions

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Abstract

We consider approximate controllability of semilinear non-autonomous evolutionary systems with nonlocal conditions. In this study, we use the theory of fractional powers and α-norms, so our results can be applied to systems where nonlinear terms include derivatives of spatial variables. We formulate and prove sufficient conditions for approximate controllability. We also give a sample application of our results.

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Authors and Affiliations

  1. East Chinese Pedagogical University, Shanghai, China

    Xianlong Fu & Huang Rong

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  1. Xianlong Fu
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  2. Huang Rong
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Correspondence to Xianlong Fu.

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Original Russian Text © Xianlong Fu, Huang Rong, 2016, published in Avtomatika i Telemekhanika, 2016, No. 3, pp. 81–98.

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Fu, X., Rong, H. Approximate controllability of semilinear non-autonomous evolutionary systems with nonlocal conditions. Autom Remote Control 77, 428–442 (2016). https://doi.org/10.1134/S000511791603005X

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  • DOI: https://doi.org/10.1134/S000511791603005X

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