Abstract

This paper investigates some topics about fractional order nonlinear systems with sampled-data. First, according to comparison principle and Laplacian transform method, sufficient conditions are derived to guarantee that the fractional order sampled-data control systems are globally and exponentially stable. Then, based on the stability results above and some properties of fractional order integral and derivative, the sampled-data controller is designed for the fractional order neural networks. Furthermore, the synchronization criteria of fractional order dynamical networks with sampled-data communications are obtained based on matrix technique and above analysis methods. Finally, three numerical examples are provided to illustrate the effectiveness of the derived results.

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