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Formation control of large-scale mobile sensor networks based on semilinear parabolic system
  • Xueming Qian,
  • Baotong Cui
Xueming Qian
Wuxi Vocational College of Science and Technology

Corresponding Author:xmqian@protonmail.com

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Baotong Cui
Jiangnan University
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Abstract

This paper is concerned with the formation control problem for a class of large-scale mobile sensor networks. The dynamic of mobile sensors are modeled by class of semilinear parabolic system, which is a class of partial differential equation(PDE) and has rich geometric family. In this model, the communication topology of agents is a chain graph and fixed. Leader feedback laws which designed in a manner to the boundary control of semilinear parabolic system allow the mobile sensors stable deployment onto planar curves. By constructing appropriate Lyapunov functional and using linear matrix inequality, several sufficient criteria are derived ensuring the mobile sensor networks to be globally asymptotically stable at the equilibrium. A simulation example is provided to demonstrate the usefulness of the proposed formation control scheme.
14 Jun 2022Submitted to The Journal of Engineering
14 Jun 2022Submission Checks Completed
14 Jun 2022Assigned to Editor
14 Jun 2022Reviewer(s) Assigned
11 Jul 2022Review(s) Completed, Editorial Evaluation Pending
11 Jul 2022Editorial Decision: Revise Major
06 Oct 20221st Revision Received
06 Oct 2022Submission Checks Completed
06 Oct 2022Assigned to Editor
07 Oct 2022Reviewer(s) Assigned
03 Nov 2022Review(s) Completed, Editorial Evaluation Pending
03 Nov 2022Editorial Decision: Accept