| 线性周期切换系统的渐近稳定性 |
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| 引用本文： | 孙文安,董世山,邹开其,陈刚.线性周期切换系统的渐近稳定性[J].辽宁工程技术大学学报(自然科学版),2006,25(1):158-160. |
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| 作者姓名： | 孙文安 董世山 邹开其 陈刚 |
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| 作者单位： | 1. 大连大学,信息工程学院,辽宁,大连,116622;大连大学,辽宁省智能信息处理重点实验室,辽宁,大连,116622
2. 辽宁工程技术大学,基础科学部,辽宁,阜新,123000 |
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| 基金项目： | 国家自然科学基金资助项目(60573072,60274016) |
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| 摘 要： | 为了研究一类线性周期切换系统的全局渐近稳定性问题，基于驻留时间的方法，当切换系统的各子系统均为稳定的情况下，给出了切换周期的最小下界；当切换系统中含有不稳定的子系统，建立了稳定子系统的驻留时间总和与不稳定子系统的驻留时间总和之间的关系：同时当各子系统的驻留时间均等时，得到了切换周期的设计条件。这些充分条件对于判断一类线性周期切换系统的渐近稳定性具有实用性。仿真结果表明所提出的切换方法是有效的。
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| 关 键 词： | 周期切换系统 渐近稳定性 驻留时间 切换律 Hurwitz稳定 |
| 文章编号： | 1008-0562(2006)01-0158-03 |
| 修稿时间： | 2004年12月16 |
Asymptotical stability of periodically switched linear systems |
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| SUN Wen-an,DONG Shi-shan,ZOU Kai-qi,CHEN Gang.Asymptotical stability of periodically switched linear systems[J].Journal of Liaoning Technical University (Natural Science Edition),2006,25(1):158-160. |
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| Authors: | SUN Wen-an DONG Shi-shan ZOU Kai-qi CHEN Gang |
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| Abstract: | The problem of globally asymptotical stability for a class of periodically linear switched systems is studied in this paper based on dwell time approach.Minimal bound of switching periodic is given when all subsystems are Hurwitz stable;Also,we study the stability properties of switched systems consisting of both Hurwitz stable subsystems and unstable subsystems.We propose relation between the total activation time of Hurwitz stable subsystems and unstable subsystems so that the entire switched system is globally asymptotical stable;Show that design condition of switching periodic under dwell time of all subsystems are equalization.These sufficient condition have practicability that globally asymptotically stability for a class of periodically switched linear systems.Finally,a simulation example illustrates the effectiveness of the proposed approach. |
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| Keywords: | periodically switched systems asymptotical stability dwell time switching laws Hurwitz stability |
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