Grouped-Round-Robin-based state estimation for multiplex networks subject to deception attacks

This paper is concerned with the protocol-based state estimation issue for nonlinear time-delayed multiplex networks (NTD-MNs) suffering from deception attacks. The classical Round-Robin (RR) protocol stands out for its advantage in scheduling the data transmission of complex networks (CNs) with limited communication bandwidth. Nevertheless, the excessive sacrifice of the observability of the CNs leads to the inevitable degradation of estimator performance. A novel scheduling mechanism called the Grouped-Round-Robin (GRR) protocol is thus first proposed to govern the data transmission of nodes within the NTD-MNs, and simultaneously overcome the deficiency of the conventional RR protocol. Besides, considering the openness of the communication environment, cyber-attacks are usually inevitable, and stochastic deception attacks modeled with a Bernoulli process are thus taken into account. Employing the proposed GRR protocol, a state estimator is established which considers the impact of deception attacks on the measurement output. Then, sufficient conditions are derived to ensure that the estimation error for the discussed system is ultimately bounded in mean square. Finally, theoretical results are corroborated through numerical simulations.