Nonfragile consensus of nonlinear multiagent systems with intrinsic delays via aperiodic memory sampled‐data control
Sheng Han, Qishui Zhong, Yang Wang, Kaibo Shi, Shouming Zhong
Abstract
Abstract This paper focuses on the consensus issue of nonlinear multiagent systems (MASs) with intrinsic time‐varying delays via the nonfragile and aperiodic memory sampled‐data control scheme. An improved continuous Lyapunov–Krasovskii functional (LKF) with some two‐sided looped‐functional terms is introduced, in which several free‐weighting‐matrices are not necessarily positive definite. Furthermore, based on the property of Laplacian matrix, the consensus issue of original MASs can be investigated directly without transforming into error systems. Then, several sufficient criteria for the consensus of MASs are presented by means of the recently developed generalized integral inequality and the constructed LKF. Next, the required nonfragile controller gain is obtained by resorting to linear matrix inequalities and the maximal length of sampling period is derived as well. Finally, two illustrative examples are employed to exhibit the effectiveness and feasibility of the proposed consensus protocol.