Abstract
摘要: 由于独立延迟线性时滞（Linear time-delay with independent delays，LTD-ID）系统的稳定条件对系统参数有严格的限制，只有极少数依赖延迟线性时滞（LTD with dependent delays，LTD-DD）系统可满足该稳定条件. LTD-ID 系统的特征多项式属拟多项式，其根为多重延迟的函数，这使得LTD-ID系统的稳定性检验非常困难. 为解决该问题，基于二维域混合多项式，本文提出LTD-DD系统的若干稳定性判据. 应用例表明所提出的稳定性判据是简单的和有效的，所提出的定理4可解决现有LMI稳定性判据的保守性问题. 关键词: 控制理论 / 时滞系统 / 拟多项式 / 二维多项式 / 稳定性判据
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