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Cited by 453

The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.

Stability of a Class of Linear Switching Systems with Applications to Two Consensus Problems

Su, Youfeng, Huang, Jie·2012·IEEE Transactions on Automatic Control

Abstract

In this paper, we first establish a stability result for a class of linear switched systems involving Kronecker product. The problem is interesting in that the system matrix does not have to be Hurwitz at any time instant. This class of linear switched systems arises in the control of multi-agent systems under switching network topology. As applications of this stability result, we give the solvability conditions for both the leaderless consensus problem and the leader-following consensus problem for general marginally stable linear multi-agent systems under switching network topology. In contrast with some existing results, our results only assume that the dynamic graph is uniformly connected.

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Metadata

Authors
Su, Y., & Huang, J.
Venue
IEEE Transactions on Automatic Control
Published
2012-06
Volume
57
Issue
6
Pages
1420-1430
ISSN
  • 0018-9286 (ISSN-L)
  • 1558-2523
OpenAlex
W2100098232
Cited by
453
References
3
FWCI
34.17
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Stability of a Class of Linear Switching Systems with Applications to Two Consensus Problems. https://app.cochat.ai/papers/10.1109/tac.2011.2176391
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Su, Y., & Huang, J. (2012). Stability of a Class of Linear Switching Systems with Applications to Two Consensus Problems. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2011.2176391

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