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Relative Controllability of Hybrid Delay Multi-agent Systems
  • Yuanchao Si
Yuanchao Si
Guizhou University

Corresponding Author:ycsi@gzu.edu.cn

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This paper considers relative controllability of leader-follower hybrid delay multi-agent systems under fixed communication topology, where two kinds of state delays are existed and each agent subjects to one of them. Some agents with unidirectional signal flows are assigned as leaders and the others are followers. With neighbor-based protocols adopted, the multi-agent systems are represented as a higher dimensional two-delay system without pairwise matrices permutation. Fundamental solution matrix of the two-delay system is constructed by improving the methods in literature, further solution of the system is obtained. Based on the solution Gramian criterion on relative controllability of the system is established. Whereafter, a sufficient condition on relative controllability of the system is presented. An example is attached to support the work.
06 Jul 2022Submitted to Mathematical Methods in the Applied Sciences
07 Jul 2022Assigned to Editor
07 Jul 2022Submission Checks Completed
25 Jul 2022Reviewer(s) Assigned