The exponential synchronization problem is investigated for a class of moving agent networks in a two-dimensional space and exhibits time-varying topology structure. Based on the Lyapunov stability theory, adaptive feedback controllers are developed to guarantee the exponential synchronization between each agent node. New criteria are proposed for verifying the locally and globally exponential synchronization of moving agent networks under the constraint of fast switching. In addition, a numerical example, including typical moving agent network with the Rössler system at each agent node, is provided to demonstrate the effectiveness and applicability of the proposed design approach.
"Locally and Globally Exponential Synchronization of Moving Agent Networks by Adaptive Control." J. Appl. Math. 2013 (SI06) 1 - 7, 2013. https://doi.org/10.1155/2013/241930