Stabilizability of linear impulsive systems

Stabilizability of linear impulsive systems
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DOI:
10.1109/chicc.2016.7553056
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发表时间:
2016
期刊:
2016 35th Chinese Control Conference (CCC)
影响因子:
--
通讯作者:
Liu Chao;Liu Xiaoyang;Yang Hongyu;Liu Wanping;Y. Zeng
Liu Chao;Liu Xiaoyang;Yang Hongyu;Liu Wanping;Y. Zeng
中科院分区:
其他
文献类型:
--
作者:
Liu Chao;Liu Xiaoyang;Yang Hongyu;Liu Wanping;Y. Zeng

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研究了线性脉冲系统的可镇定性。通过一个数值例子表明,某些线性脉冲系统即使在任何相容脉冲律下都不稳定,但它们也可能是渐近可镇定的。给出了线性脉冲系统渐近稳定的一个充分条件,并设计了镇定线性脉冲系统的状态依赖脉冲律。最后通过一个数值算例说明了所得理论结果的正确性和有效性.
This paper investigates the stabilizability of linear impulsive systems. The fact that some linear impulsive systems may be asymptotically stabilizable even though they are not stable under any consistent impulsive law is indicated by a numerical example. A sufficient condition for the asymptotical stabilizability of linear impulsive systems is presented and then the state-dependent impulsive law to stabilize linear impulsive systems is designed. A numerical example is introduced to illustrate the correctness and effectiveness of our proposed theoretical results.