摘要
针对一类不确定中立型时滞系统的鲁棒稳定性问题,采用自由矩阵积分不等式(FMBII)方法进行深入研究。提出了一种简化的FMBII,利用它估计Lyapunov-Krasovskii泛函的导数,得到具有更低保守性的时滞相关稳定判据。最后,通过2个数值实例,将本文方法与文献[4],[5],[7],[8]所提方法进行比较。数值实例结果表明了本文方法的有效性和优越性。
In view of the robust stability exhibited by an uncertain neutral system with time delays, an intensive research has thus been conducted by adopting the free-matrix-based integral inequality （FMBII） method. A simplified FMBII is proposed for the estimation of the derivative of Lyapunov- Krasovskii functional, thus obtaining the delay- dependent stability criteria with less degree of conservation. Finally, a comparison has been made between the current proposed method and the existing methods （see [4], [5], [7]and[8]）, with the numerical example results verifying the validity and superiority of the currenth proposed approach.
出处
《湖南工业大学学报》
2016年第5期37-40,76,共5页
Journal of Hunan University of Technology
基金
国家自然科学基金资助项目(61304064)
国家火炬计划基金资助项目(2015GH712901)
湖南省自然科学基金资助项目(2015JJ3064)
湖南省教育厅科学研究优秀青年基金资助项目(15B067)
广东省特种光纤材料与器件工程技术研究开发中心开放基金资助项目
关键词
自由矩阵积分不等式
中立型时滞系统
稳定性
free-matrix-based integral inequality
neutral delay systems
stability
