Partial-information-based consensus of network systems with time-varying delay via sampled-data control

摘要

In this paper, a novel decoupling method is introduced to investigate the consensus of network systems with partial coupling on the basis of sampling control. The novel method is enabled us to discuss channels of each node for network systems individually. By constructing several Lyapunov functionals and combining with free weighting approach, the stability of network systems with target node is analyzed. On the other hand, network systems with time-varying delay are considered. Based on Fourier theory, an alternative inequality is presented, which is more precise than the Wirtinger inequalities. This inequality encompasses the Jensen one and leads to manageable linear matrix inequalities conditions (LMIs). Therefore, the consensus of network systems with time-varying delay can be guaranteed. Through two illustrated examples, the effectiveness of the proposed method is demonstrated sufficiently. (C) 2019 Elsevier B.V. All rights reserved.