This article is cited in 16 papers

Nonlinear Systems

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

Xianlong Fu, Huang Rong

East Chinese Pedagogical University, Shanghai, China

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 $\alpha$-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.

Presented by the member of Editorial Board: V. I. Gurman

Received: 20.01.2015

 English version: Automation and Remote Control, 2016, 77:3, 428–442

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