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 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
Cite this
Hu, B., Zhai, G., & Michel, A. N. (2002). Common quadratic Lyapunov-like functions with associated switching regions for two unstable second-order LTI systems. International Journal of Control, 75(14), 1127-1135. https://doi.org/10.1080/00207170210162096