Optimal quasi-synchronization of fractional-order memristive neural networks with PSOA

摘要

In this paper, optimal quasi-synchronization problem for fractional-order memristive delayed neural networks (FMDNNs) is investigated. The model of FMDNNs is transformed into systems with interval parameters. To guarantee quasi-synchronization, a general fractional-order inequalities and aperiodically intermittent controllers are proposed and analyzed. With the help of tools from interval matrix inequalities and fractional stability theory, sufficient conditions are obtained to guarantee quasi-synchronization of the FMDNNs. Synchronization errors about fractional order alpha are clearly stated. The optimal control parameters satisfy the integral square error, and minimal control energy can be computed by using particle swarm optimization algorithm. Finally, simulation examples are given for illustration.