Abstract

In this paper, the stabilization control of the memristive neural networks with discrete-time terms and fractional derivative is proposed. By employing the Lyapunov functional method and fully considering the integrity of the quaternion system, some sufficient criteria are derived based on nonlinear scalarization approach and several inequality techniques. The stabilization criteria are established in the form of algebraic inequality, which can be directly resolved by a simple calculation. Finally, two numerical examples are proposed to demonstrate the validity of theoretical results.

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