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摘要: 研究了切换系统输入对状态的稳定性.在所有子系统都是输入对状态稳定的条件下, 利用各子系统的KY函数和K函数构造出切换系统所需的KY函数和X函数,从而给出了切换系 统输入对状态稳定的充分条件.对于一类常见的切换系统,计算出保证输入对状态稳定性的切 换停留时间的下界,所有结果都是构造性的.
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关键词:
- 输入对状态的稳定性 /
- Lyapunov稳定性 /
- 切换系统 /
- 停留时间
Abstract: Input-to-state stability of switched systems is studied. Sufficient conditions for switched systems to be input-to-state stable are given under the assumption that all subsystems are input-to-state stable. KY and K functions for switched systems are constructed by those for subsystems. For a class of switched systems a lower bound on the dwell time of switching is explicitly calculated which guarantees input-to-state stability. All results are derived constructively.-
Key words:
- Input-to-state stability /
- Lyapunov stability /
- switched systems /
- dwell time
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