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Matrix-Scaled Consensus of Multi-agent Systems with Time-Varying Delay
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DOI:10.1007/s12555-026-00050-5.png)
Abstract
En 中文
This paper investigates the problem of matrix-scaled consensus in multi-agent systems with time-varying delays. In contrast to conventional consensus problems where agents converge to a constant value, we consider a more general scenario in which the consensus value follows an arbitrary time-varying reference function. Both uniform and slowly time-varying delay cases are analyzed within the matrix-scaled consensus tracking (MSCT) framework. The proposed approach is developed using the Lyapunov-Krasovskii theorem in conjunction with extended Jensen and Wirtinger inequalities, leading to the derivation of delay-dependent stability conditions formulated as linear matrix inequalities (LMIs). The admissible time-delay bounds and the allowable rate of delay variation are explicitly determined. Numerical simulation examples are provided to validate the effectiveness and reduced conservatism of the proposed method.
Keywords:
Matrix-scaled consensus
Multi-agent system
Time-varying delay
Journal
IF:
2.9
Papers:
170
Citations:
6.5K
