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ISA Transactions
Article . 2023 . Peer-reviewed
License: Elsevier TDM
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Hierarchical prescribed-time bipartite consensus for multiple Euler–Lagrange systems with input-to-output redundancy and directed matrix-weighted signed graph

Authors: Jiao Pan; Tao Han; Bo Xiao; Huaicheng Yan;

Hierarchical prescribed-time bipartite consensus for multiple Euler–Lagrange systems with input-to-output redundancy and directed matrix-weighted signed graph

Abstract

This paper studies the prescribed-time bipartite consensus problem for multiple Euler-Lagrange systems (MELSs) under directed matrix-weighted signed graph, in which input-to-output redundancy, external disturbances and uncertain dynamic terms have been taken into consideration. Firstly, this paper proposes the prescribed-time hierarchical control (PTHC) algorithm to tackle the aforesaid issue. It is worth pointing out that the convergence time can be arbitrarily prescribed based on actual engineering needs. Then, the corresponding sufficient conditions for achieving the prescribed-time bipartite consensus are obtained by invoking Lyapunov stability analysis. Eventually, the numerical simulation results are performed, which vividly reflect the effectiveness and feasibility of the developed control algorithm.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Top 10%
Average
Top 10%
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