Abstract
To find a unified approach for the stability analysis of second-order switched system, the concept of phase function is proposed in this paper. First, the basic properties of phase function are explored. Following this concept and its properties, the phase-based stability criterion is investigated based on the Lyapunov theory, and a necessary and sufficient stability condition is obtained in the phase function approach. Moreover, the connection between phase-based stability conditions and algebraic condition of system matrices is also discussed. Finally, numerical examples are provided to exemplify the main result and make necessary comparisons with the existing methods.
| Original language | English |
|---|---|
| Pages (from-to) | 1-14 |
| Number of pages | 14 |
| Journal | INTERNATIONAL JOURNAL OF CONTROL |
| Early online date | 15 Sept 2017 |
| DOIs | |
| Publication status | E-pub ahead of print - 15 Sept 2017 |
Keywords
- Lyapunov function
- Phase function
- stability analysis
- switched system