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一类中立型方程的渐近稳定性 被引量:2

Asymptotic stability of a class of linear neutral systems
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摘要 通过讨论一类线性中立型系统的渐近稳定性,利用线性矩阵不等式(LMI)和Liapunov泛涵,给出判定此类线性中立型系统渐近稳定的充要条件,在一定基础上简化了判断此类时滞中立型系统稳定性的条件,从而推广了该类判断的结果。 This paper deals with the asymptotic stability of a class of linear neutral systems. By using the linear matrix inequalities and constructing Liapunov functional, the necessary and sufficient conditions for asymptotic stability are obtained, thus generalizing the conclusion of the system.
出处 《合肥工业大学学报(自然科学版)》 CAS CSCD 北大核心 2007年第7期912-914,共3页 Journal of Hefei University of Technology:Natural Science
基金 国家自然科学基金资助项目(10241005) 国家教育部科学技术研究基金资助项目(205068) 安徽大学创新团队基金资助项目
关键词 稳定性 中立型系统 线性矩阵不等式(LMI) LIAPUNOV泛函 时滞 stability neutral system linear matrix inequality(LMI) Liapunov functional delay
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