Passive filter design for fractional-order quaternion-valued neural networks with neutral delays and external
Qiankun Song1, Sihan Chen2, Zhenjiang Zhao3
1Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, China.
Abstract:
The problem on passive filter design for fractional-order quaternion-valued neural networks (FOQVNNs) with neutral delays and external disturbance is considered in this paper. Without separating the FOQVNNs into two complex-valued neural networks (CVNNs) or the FOQVNNs into four real-valued neural networks (RVNNs), by constructing Lyapunov-Krasovskii functional and using inequality technique, the delay-independent and delay-dependent sufficient conditions presented as linear matrix inequality (LMI) to confirm the augmented filtering dynamic system to be stable and passive with an expected dissipation are derived. One numerical example with simulations is furnished to pledge the feasibility for the obtained theory results.
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