Periodically intermittent control strategies for $$\varvec{\alpha }$$ α -exponential stabilization of fractional-order complex-valued delayed neural networks

Abstract

This paper is concerned with the global α-exponential stabilization for a class of fractionalorder complex-valued neural networks with time delay. To end this, some new fractionalorder differential inequalities are established, which improve and generalize previously known criteria. Then, a suitable periodically intermittent control scheme with time delay is proposed for the global α-exponential stabilization of the addressed networks, which include feedback control as a special case. By using the new fractional-order differential inequalities and coupling with the Lyapunov method and some other inequality techniques, some novel delay-independent criteria in terms of real-valued algebraic inequalities are obtained to ensure global α-exponential stabilization of the discussed networks, which are very simple to implement in practice and avoid complex computation on the matrix inequalities. Finally, an illustrative example with numerical simulations is given to demonstrate the effectiveness of the theoretical results.