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Leader Selection in Impulsive Multiagent Systems With Switching Topologies.

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    This summary is machine-generated.

    Selecting minimal leaders in multiagent systems (MASs) is crucial for performance. This study presents an efficient greedy algorithm for leader selection in impulsive linear MASs with switching topologies, ensuring consensus tracking.

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    Area of Science:

    • Control Theory
    • Multiagent Systems
    • Networked Systems

    Background:

    • Leader-follower multiagent systems (MASs) require efficient leader selection for optimal cooperative performance.
    • Selecting a minimal set of leaders is essential for achieving consensus tracking in systems with dynamic topologies.

    Purpose of the Study:

    • To investigate the problem of minimal leader selection in impulsive general linear MASs with switching topologies.
    • To develop an efficient scheme for selecting a minimum number of leaders that ensure consensus tracking performance.

    Main Methods:

    • Derivation of an explicit consensus tracking criterion using average dwell time and time-ratio constraints.
    • Application of the submodular optimization framework to establish leader selection metrics.
    • Employment of a greedy rule, resulting in two polynomial-time algorithms for leader selection.

    Main Results:

    • An efficient leader selection scheme is developed based on established metrics.
    • The proposed algorithms return selected leader sets within a logarithmic bound of the optimal solution.
    • The effectiveness of the leader selection scheme is validated through an illustrative example.

    Conclusions:

    • The study provides an effective method for minimal leader selection in complex multiagent systems.
    • The developed scheme balances the number of leaders with the required consensus tracking performance.