New Discrete-Time Zeroing Neural Network for Solving Time-Varying System of Linear Equation and Inequality

Recently, the zeroing neural network (ZNN) model with continues-time form has been established to solve the time-varying system of linear equation and inequality. For completeness and further investigation, the discrete-time form of such a ZNN is proposed and analyzed in this paper. Specifically, a special difference formula based on Taylor series expansion is constructed. By using the difference formula to discretize the continues-time ZNN model, the new discrete-time ZNN (DTZNN) model is thus developed for solving the time-varying system of linear equation and inequality. Numerical results are presented to further validate the effectiveness and superiority of the proposed DTZNN model.