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
Author ProfileGang Feng
City University of Hong Kong Department of Biomedical Engineering
Author ProfileAbstract
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 2024Submission Checks Completed
24 Jan 2024Assigned to Editor
24 Jan 2024Review(s) Completed, Editorial Evaluation Pending
07 Feb 2024Reviewer(s) Assigned
21 Mar 2024Editorial Decision: Revise Minor
04 Apr 20241st Revision Received
08 Apr 2024Submission Checks Completed
08 Apr 2024Assigned to Editor
08 Apr 2024Review(s) Completed, Editorial Evaluation Pending
10 Jul 20242nd Revision Received
11 Jul 2024Submission Checks Completed
11 Jul 2024Assigned to Editor
11 Jul 2024Review(s) Completed, Editorial Evaluation Pending
16 Jul 2024Reviewer(s) Assigned
06 Sep 2024Editorial Decision: Accept