Standard neural network model and its application

The novel neural network model, named standard neural network model (SNNM), is the interconnection of a linear dynamic system and a bounded static nonlinear operator. The SNNM is represented by linear differential inclusion (LDI), which allows taking advantage of the linear matrix inequality (LMI) approach in the stability analysis or other performance analysis of SNNM. By combining a number of different Lyapunov functions with S-procedure, some useful stability theorems for continuous SNNM and discrete-time SNNM were derived, whose conditions were formulated as LMIs. Some examples show that the proposed SNNM can be applied in analyzing the stability of recurrent neural network, and synthesizing the neural network control system.