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摘要: 本文引入一类新的系统模型—具有脉冲作用的切换线性广义系统. 应用驻留时间(Dwell time)方法和平均驻留时间(Average dwell time)方法研究其稳定性问题, 并给出系统指数稳定性的充分条件. 证明了当平均驻留时间足够大且重设律是允许的, 那么系统是指数稳定的. 利用广义系统的受限等价性质, 具体给出允许的重设律的设计方法. 数值例子说明本文方法的有效性.Abstract: A new class of switched linear singular systems with impulsive effects is introduced. The stability of such systems is investigated by using dwell time and average dwell time approaches. A sufficient condition for exponential stability is presented. It is shown that if dwell time is chosen to be sufficiently large and the reset law is admissible, then exponential stability is guaranteed. The admissible reset law is developed using the restricted equivalent property of singular systems. A numerical example illustrates the effectiveness of the proposed method.
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Key words:
- Switched systems /
- switched singular systems /
- exponential stability
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