Consensus of multi-agent systems with state and input delays via non-fragile protocol

Xiao-Jie Peng and Yong He

International Journal of Systems Science, 2022, vol. 53, issue 12, 2584-2596

Abstract: This paper studies the non-fragile consensus problem of nonlinear multi-agent systems (MASs) with state and input time-varying delays. The main purpose of this paper is to provide new approaches for the non-fragile consensus research of MASs with time-varying delay. To achieve this goal, a quadratic polynomial Lyapunov–Krasovskii functional is constructed and the generalised free-matrix-based integral inequality is employed. In addition, the quadratic function negative-determination method is applied to the consensus analysis of MASs with controller gain fluctuation. Finally, two novel consensus criteria are established. A simulation example is given to examine the effectiveness and superiority of the obtained criteria.

Date: 2022
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DOI: 10.1080/00207721.2022.2037782

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