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多延时线性中立型系统的稳定性的代数判据

Stability of Linear Neutral Systems with Multiple Delay:Algebraic Criteria

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【作者】 徐明跃; 胡广大; 赵岩斌;

【Author】 XU Ming-yue1,2, HU Guang-da3, ZHAO Yan-bin4 (1. Astronautics College, Harbin Institute of Technology, Harbin 150001, China; 2. Mathematics Department of Harbin Normal University, Harbin 150080, China; 3. Automation Department of Information Engineering College, Beijing University of Science and Technology, Beijing 100083, China; 4. Mathematics and Statistics College, Northeast Normal University, Changchun 130024, China)

【机构】 哈尔滨工业大学航天学院; 北京科技大学信息工程学院自动化系; 东北师范大学数学与统计学院 哈尔滨150001哈尔滨师范大学数学系; 哈尔滨150080; 北京100083; 长春130024;

【摘要】 近年来多延时线性中立型微分系统的稳定性被广泛研究,大量的充分条件被得到,这些条件互为补充,使得很多这类系统的稳定性通过这些充分条件得以判定(参见文献[1-4]),我们借助于矩阵理论得到了依赖于延时的稳定性代数判据;进而给出了独立于延时的稳定性代数判据,最后给出例子来说明所给判据是对文献[1-4]所给判据的补充。

【Abstract】 Many papers have considered the stability of linear neutral delay-differential systems with multiple delays, however, these given criteria are mostly adequate (literature [1]-[4]), so the criteria could be given which are either extension or complement of these given criteria. In the present note, the stability of linear neutral delay-differential systems with multiple delays was investigated. The delay-dependent stability criteria were proposed and then the delay-independent stability criteria are were given. An example was given to illustrate that these criteria may complement those reported in the literature [1,2,3,4].

【基金】 国家自然科学基金项目(10671049);黑龙江省自然科学基金项目(A020040—9)
  • 【文献出处】 系统仿真学报 ,Journal of System Simulation , 编辑部邮箱 ,2008年14期
  • 【分类号】TP13
  • 【下载频次】83
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