Exponential Stability of Complex-Valued Memristive Recurrent Neural Networks

@article{Wang2017ExponentialSO,
  title={Exponential Stability of Complex-Valued Memristive Recurrent Neural Networks},
  author={Huamin Wang and Shukai Duan and Tingwen Huang and Lidan Wang and Chuandong Li},
  journal={IEEE Transactions on Neural Networks and Learning Systems},
  year={2017},
  volume={28},
  pages={766-771}
}
In this brief, we establish a novel complex-valued memristive recurrent neural network (CVMRNN) to study its stability. As a generalization of real-valued memristive neural networks, CVMRNN can be separated into real and imaginary parts. By means of <inline-formula> <tex-math notation="LaTeX">$M$ </tex-math></inline-formula>-matrix and Lyapunov function, the existence, uniqueness, and exponential stability of the equilibrium point for CVMRNNs are investigated, and sufficient conditions are… CONTINUE READING

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