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Stochastic Distributed Tracking of Heterogeneous Multi-Agent Systems with Markovian Switching Topologies and Infinite Delays
  • Haihua Guo,
  • Gang Feng,
  • Cong BI
Haihua Guo
City University of Hong Kong Hong Kong Institute for Data Science
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Gang Feng
City University of Hong Kong Department of Biomedical Engineering
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Cong BI
Nankai University College of Artificial Intelligence

Corresponding Author:[email protected]

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Abstract

This paper investigates the distributed mean square output tracking problem of heterogeneous multi-agent systems with Markovian switching topologies and infinite transmission delays. The main challenge of the concerned problem arises from how to deal with Markovian switching topologies and infinite transmission delays simultaneously. A novel distributed observer is developed based on a newly proposed Lyapunov functional method. Then, a distributed controller based on the distributed observer is developed. It is shown that the stochastic distributed tracking problem is solved in the sense of mean square if the union graph of the underlying Markovian switching topology contains a spanning tree. A distinctive feature of the proposed controller is that the infinite delays are not required to be known. Finally, the effectiveness of the proposed controller is illustrated by two numerical examples.
24 Jan 2024Submitted to International Journal of Robust and Nonlinear Control
24 Jan 2024Assigned to Editor
24 Jan 2024Submission Checks Completed
24 Jan 2024Review(s) Completed, Editorial Evaluation Pending
07 Feb 2024Reviewer(s) Assigned