Stability analysis of piecewise linear systems with discrete and distributed time delays
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 729-742 |
| Journal / Publication | Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms |
| Volume | 13 |
| Issue number | 6 |
| Publication status | Published - Dec 2006 |
Link(s)
Abstract
This paper is concerned with the stability analysis problem for a class of piece-wise linear systems with both discrete and distributed time delays. A piecewise Lyapunov-Krasovskii functional is constructed so as to derive sufficient conditions for the globally asymptotic stability of the piecewise linear systems with discrete and distributed time-delays. The derived stability criteria are expressed in terms of linear matrix inequalities (LMIs), which can be readily checked by using the standard Matlab LMI Toolbox. A numerical example is used to demonstrate the usefulness of the methods. Copyright ©2006 Watam Press.
Research Area(s)
- Discrete and distributed delay, Linear matrix inequality (LMI), Piecewise linear systems, Stability
Citation Format(s)
Stability analysis of piecewise linear systems with discrete and distributed time delays. / Liu, Yurong; Wang, Zidong; Feng, Gang et al.
In: Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, Vol. 13, No. 6, 12.2006, p. 729-742.
In: Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, Vol. 13, No. 6, 12.2006, p. 729-742.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
