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Frontiers of Information Technology & Electronic Engineering >> 2021, Volume 22, Issue 1 doi: 10.1631/FITEE.2000207

Leader-following synchronization of a multi-agent system with heterogeneous delays

捷克科学院信息理论与自动化所,捷克共和国布拉格,18200

Received: 2020-04-30 Accepted: 2021-01-11 Available online: 2021-01-11

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Abstract

An algorithm is presented for leader-following synchronization of a composed of linear agents with . The presence of different delays in various agents can cause a synchronization error that does not converge to zero. However, the norm of this error can be bounded and this boundary is presented. The proof of the main results is formulated by means of linear matrix inequalities, and the size of this problem is independent of the number of agents. Results are illustrated through examples, highlighting the fact that the steady error is caused by heterogeneous delays and demonstrating the capability of the proposed algorithm to achieve synchronization up to a certain error.

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