Distributed Optimization for Linear Multi-Agent Systems Subject to DoS Attacks

This paper discussed the distributed optimization problem where interagent communication is subject to DoS attacks. An event-based communication strategy is adopted to determine the signal transmission time, and then a resilient control algorithm is put forward to achieve consensus and meanwhile minimize the global objective function. By means of a positive invariant set and a quadratic Lyapunov functional, the convergence of the developed algorithm is guaranteed. The effectiveness of the theoretical result is illustrated by a simulation example.