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On the Stability of Positive Linear Switched Systems Under Arbitrary Switching Laws
Abstract
We considern-dimensional positive linear switched systems. A necessary condition for stability under arbitrary switching is that every matrix in the convex hull of the matrices defining the subsystems is Hurwitz. Several researchers conjectured that for positive linear switched systems this condition is also sufficient. Recently, Gurvits, Shorten, and Mason showed that this conjecture is true for the casen= 2, but is not true in general. Their results imply that there exists some minimal integernpsuch that the conjecture is true for all np, but is not true for n = np. We show that np= 3.
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Coordination of groups of mobile autonomous agents using nearest neighbor rules
Jadbabaie, A., Lin, J., & Morse, A. S. (2003) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2003.812781 · Cited by 8,339
A Unified Framework for Hybrid Control: Model and Optimal Control Theory
Branicky, M. S., Borkar, V. S., & Mitter, S. K. (1998) · IEEE Transactions on Automatic Control · doi:10.1109/9.654885 · Cited by 1,313
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Stability of switched positive linear systems with average dwell time switching
Zhao, X., Zhang, L., Shi, P., & Liu, M. (2012) · Automatica · doi:10.1016/j.automatica.2012.03.008 · Cited by 658
Metadata
- Authors
- Fainshil, L., Margaliot, M., & Chigansky, P.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2009-04
- Volume
- 54
- Issue
- 4
- Pages
- 897-899
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- OpenAlex
- W2126825123
- Cited by
- 185
- References
- 2
- FWCI
- 21.18
- Type
- journal article
- Language
- en
- Open access
- closed
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