Abstract
In this paper we establish quadratic Lyapunov-like functions for qualitative analysis of switched systems. Specifically, for a class of switched systems consisting of two unstable second-order LTI (linear time-invariant) subsystems, we explore in detail some necessary and sufficient conditions for the existence of common (weakly) quadratic Lyapunov-like functions with associated switching regions in ℜ2 plane. The existence conditions and the construction of such quadratic Lyapunov-like functions are established by using the conic switching laws.
| Original language | English |
|---|---|
| Pages (from-to) | 1127-1135 |
| Number of pages | 9 |
| Journal | International Journal of Control |
| Volume | 75 |
| Issue number | 14 |
| DOIs | |
| Publication status | Published - 2002 Sep 20 |
| Externally published | Yes |
ASJC Scopus subject areas
- Control and Systems Engineering
Cite this
Common quadratic Lyapunov-like functions with associated switching regions for two unstable second-order LTI systems. / Hu, Bo; Zhai, Guisheng; Michel, Anthony N.
In: International Journal of Control, Vol. 75, No. 14, 20.09.2002, p. 1127-1135.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Common quadratic Lyapunov-like functions with associated switching regions for two unstable second-order LTI systems
AU - Hu, Bo
AU - Zhai, Guisheng
AU - Michel, Anthony N.
PY - 2002/9/20
Y1 - 2002/9/20
N2 - In this paper we establish quadratic Lyapunov-like functions for qualitative analysis of switched systems. Specifically, for a class of switched systems consisting of two unstable second-order LTI (linear time-invariant) subsystems, we explore in detail some necessary and sufficient conditions for the existence of common (weakly) quadratic Lyapunov-like functions with associated switching regions in ℜ2 plane. The existence conditions and the construction of such quadratic Lyapunov-like functions are established by using the conic switching laws.
AB - In this paper we establish quadratic Lyapunov-like functions for qualitative analysis of switched systems. Specifically, for a class of switched systems consisting of two unstable second-order LTI (linear time-invariant) subsystems, we explore in detail some necessary and sufficient conditions for the existence of common (weakly) quadratic Lyapunov-like functions with associated switching regions in ℜ2 plane. The existence conditions and the construction of such quadratic Lyapunov-like functions are established by using the conic switching laws.
UR - http://www.scopus.com/inward/record.url?scp=0037145125&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0037145125&partnerID=8YFLogxK
U2 - 10.1080/00207170210162096
DO - 10.1080/00207170210162096
M3 - Article
VL - 75
SP - 1127
EP - 1135
JO - International Journal of Control
JF - International Journal of Control
SN - 0020-7179
IS - 14
ER -