International Journal of applied mathematics and computer science

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Paper details

Number 2 - June 2020
Volume 30 - 2020

Stabilization analysis of impulsive state-dependent neural networks with nonlinear disturbance: A quantization approach

Yaxian Hong, Honghua Bin, Zhenkun Huang

Abstract
In this paper, the problem of feedback stabilization for a class of impulsive state-dependent neural networks (ISDNNs) with nonlinear disturbance inputs via quantized input signals is discussed. By constructing quasi-invariant sets and attracting sets for ISDNNs, we design a quantized controller with adjustable parameters. In combination with a suitable ISS-Lyapunov functional and a hybrid quantized control strategy, we propose novel criteria on input-to-state stability and global asymptotical stability for ISDNNs. Our results complement the existing ones. Numerical simulations are reported to substantiate the theoretical results and effectiveness of the proposed strategy.

Keywords
state-dependent neural networks, quantized input, stabilization

DOI
10.34768/amcs-2020-0021