Stability analysis of positive switched linear systems with delays
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Article number | 5723700 |
| Pages (from-to) | 1684-1690 |
| Journal / Publication | IEEE Transactions on Automatic Control |
| Volume | 56 |
| Issue number | 7 |
| Publication status | Published - Jul 2011 |
Link(s)
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. © 2011 IEEE.
Research Area(s)
- Delays, dual systems, positive switched linear system (PSLS), stability
Citation Format(s)
Stability analysis of positive switched linear systems with delays. / Liu, Xingwen; Dang, Chuangyin.
In: IEEE Transactions on Automatic Control, Vol. 56, No. 7, 5723700, 07.2011, p. 1684-1690.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
