A Neurodynamic Approach for Distributed Optimization with Delayed Feedback

In this paper, a neurodynamic approach with communication delay is proposed for the sake of solving distributed optimization problems. First, the relationship between the equilibrium of the algorithm and the optimal solution of the distributed optimization problem is established. Then, sufficient conditions for the equilibrium to converge to the optimal solution of the optimization problem are provided in the form of linear matrix inequalities, in the case of communication delay. In addition, numerical simulation verifies the validity of the neurodynamic approach with communication time delay.