Nash equilibrium of time-delay interaction complex networks subject to persistent disturbances

In this study, the authors consider the problem of Nash equilibrium solutions of multi-agent game of information warfare in complex networks, of which the inner dynamics are nonlinear, the interactions among vertex states are with time delays, and vertex states are also with persistent disturbances. A successive approximation approach is used to obtain an optimal control law for different agents in the network systems. An illustration example is presented to demonstrate the characteristic of multi-agent game in networks.