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This article is part of the theme issue 'Towards symbiotic autonomous systems'.Cyber-physical systems (CPSs), as emerging products of industry [Formula see text], play a key role in the development of intelligent manufacturing. This paper proposes an observer-based adaptive neural network (NN) control for nonlinear strict-feedback CPSs subject to false data injection attacks. Since there may be strict constraints on the state or output signals of nonlinear cyber-physical systems (NCPSs), we propose a time-varying asymmetric barrier Lyapu