Distributed observer design of discrete-time complex dynamical systems with long-range interactions

This paper focuses on the distributed observer design problem of a discrete-time complex dynamical system with long-rang interactions, where the outputs of the system are measured by a group of agents communicating through a directed graph and each agent can access only a part of ones. By introducing the variant d-path Laplacian matrix to describe the long-rang interactions among the multiple agents, a simple full-order distributed observer is first designed. Then, in order to reduce to the number of integrators in the distributed observer, a reduced-order distributed observer is constructed. Finally, some numerical simulations are presented to verify the theoretical results. & COPY; 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.