Necessary and sufficient stability condition for second-order switched systems: a phase function approach

作者：Yang, Xiaozhan^*; Lam, H. K.; Wu, Ligang

来源：International Journal of Control, 2019, 92(4): 926-939.

DOI：10.1080/00207179.2017.1375157

• Phase function
• switched system
• stability analysis
• Lyapunov function

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.

• 出版日期2019-4-3
• 单位哈尔滨工业大学