Scaled Partial Component Consensus in Discrete-Time Leader-Following Multi-Agent Systems

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DOI: https://doi.org/10.28924/2291-8639-24-2026-258
Published: Aug 17, 2026
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Mana Donganont, Saranya Phongchan, Scaled Partial Component Consensus in Discrete-Time Leader-Following Multi-Agent Systems, Int. J. Anal. Appl., 24 (2026), 258.

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Mana Donganont, Saranya Phongchan

Abstract

This paper investigates the scaled partial component consensus problem for discrete-time leader-following multi-agent systems. The objective is to achieve proportional agreement with a leader while enforcing consensus only on a prescribed subset of state components. By introducing scaled tracking errors and an inner coupling matrix, the coordination task is formulated in a component-selective manner. A permutation-based transformation is employed to rearrange the global error dynamics into independent component-wise subsystems. Based on this decomposition, sufficient conditions ensuring scaled partial component consensus are established using Lyapunov analysis and spectral stability arguments. The results explicitly characterize the interplay among the agent dynamics, network topology, inner coupling structure, and coupling gain. Numerical simulations demonstrate that the scaled states of the followers converge to the scaled leader trajectory for the selected components, while the unselected components remain unconstrained, thereby confirming the effectiveness of the proposed framework.

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