Distributed hybrid-triggered state estimation for complex networked system with network attacks

A distributed hybrid-triggered $H_\infty$ state estimation is investigated for a class of complex networked systems under networked adversarial attacks. First, we propose a hybrid-triggered communication scheme to achieve the right balance between improving the performance of the basic event-triggered scheme and reducing the network burden. Under the hybrid triggered communication scheme, a novel state estimation model is established that assembles the items of triggered functions and networked adversarial attacks. Then, by using a stochastic analysis technique and the Lyapunov stability theory, some sufficient conditions for the stochastic stability of systems are obtained. In addition, a set of desired $H_\infty$ estimation gains and trigger parameters can be simultaneously derived by solving some linear matrix inequalities. Finally, a numerical example including five nodes is provided to demonstrate the effectiveness of the proposed approach.