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具有区间时滞的不确定系统的BIBO稳定性

BIBO stability of uncertain systems with interval time-varying delay
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摘要 当系统受到外部有界输入作用时,输出也是有界的,此时系统是BIBO稳定的.在各类线性系统、非线性系统、中立型系统、切换系统中,BIBO稳定性已经得到广泛研究.时滞作为一种现象,广泛的存在于各类控制系统中.针对具有区间时滞的不确定系统,研究BIBO稳定性.通过Lyapunov泛函和不等式分析方法获得满足具有区间时滞的不确定系统的BIBO稳定性一类条件. When the system is affected by an external bounded input, the output is also bounded, and the system is of BIBO sta- bilization. BIBO stabilization has been researched extensively in linear system, nonlinear system,neutral system and neural net- works. As a phenomenon,time-delay exists widely in various control systems. In this paper, the problem of BIBO stability of un- certain system with interval time-varying delay was considered. A criterion for sufficiency of the BIBO stabilization for uncertain systems was obtained by means of the method of Lyapunov function and the inequality of analysis.
作者 宋静 徐娟
出处 《西南民族大学学报(自然科学版)》 CAS 2017年第4期414-417,共4页 Journal of Southwest Minzu University(Natural Science Edition)
基金 国家自然科学基金项目(61403254)
关键词 区间时滞 LYAPUNOV泛函 不等式分析 BIBO稳定性 interval time-varying Lyapunov function inequality analysis
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