Multiconsensus control of homogeneous LTI hybrid systems under time-driven jumps
Andrea Cristofaro, Mattia Mattioni · 2022 IEEE 61st Conference on Decision and Control (CDC) · 2022
In this paper, we consider a network of homogeneous LTI hybrid dynamics under time-driven aperiodic jumps and exchanging information over a fixed communication graph. Based on the notion of almost equitable partitions, we explicitly characterize the clusters induced by the network over the nodes and, consequently, the corresponding multi-consensus trajectories. Then, we design a decentralized control ensuring convergence of all agents to the corresponding multi-consensus trajectory. Simulations over an academic example illustrate the results.