LMI-based H∞ Synthesis for a Lurie-type unified model via wireless neuron control network

In this paper, the H_∞ Synthesis problem is considered for a class of Lurie unified model termed delayed standard neural network model (DSNNM) via a wireless neural control network (WNCN). We assume that all neuron nodes in WNCN which have limited energy, storage space and computing ability can be regarded as a sub-controller, then the whole WNCN is characterized by mesh-like structure with partially connected neurons distributed over a wide geographical area, which can be considered as a fully distributed nonlinear output feedback dynamic controller. The WNCN is designed to guarantee the stability of the whole closed-loop system with a H_∞ disturbance attenuation index based on the linear-matrix-inequality (LMI) approach. A numerical example is given to illustrate the correctness and effectiveness of the theoretical results.