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Stability Analysis of Positive Switched Linear Systems With Delays
Abstract
This technical note addresses the stability problem of delayed positive switched linear systems whose subsystems are all positive. Both discrete-time systems and continuous-time systems are studied. In our analysis, the delays in systems can be unbounded. Under certain conditions, several stability results are established by constructing a sequence of functions that are positive, monotonically decreasing, and convergent to zero as time tends to infinity (additionally continuous for continuous-time systems). It turns out that these functions can serve as an upper bound of the systems' trajectories starting from a particular region. Finally, a numerical example is presented to illustrate the obtained results.
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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
Goebel, R., Sanfelice, R. G., & Teel, A. R. (2009) · IEEE Control Systems · doi:10.1109/mcs.2008.931718 · Cited by 1,656
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
Cited by
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
- Liu, X., & Dang, C.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2011-07
- Volume
- 56
- Issue
- 7
- Pages
- 1684-1690
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2128195908
- Cited by
- 324
- References
- 3
- FWCI
- 45.96
- Type
- journal article
- Language
- en
- Open access
- closed
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