线性中立型时滞系统的稳定性判据  

Criteria for Stability of Linear Neutral Delay Systems

作　　者：张克跃[1] 杨苏勤[1] 

机构地区：[1]西南交通大学峨眉校区,四川峨眉山614202

出　　处：《西南交通大学学报》2006年第3期386-390,共5页Journal of Southwest Jiaotong University

摘　　要：用基于频域的特征方程方法研究线性中立型时滞系统的渐近稳定性.利用与系统的状态、时滞及微分项有关的系数矩阵的结构特征,推导了与时滞无关的代数稳定性判据.与已有结果比较,新判据减弱了对系数矩阵的限制,扩大了稳定参数域.用新判据确定了算例的渐近稳定性,而对此算例原有判据已不适用.The asymptotic stability of linear neutral delay systems was studied with an eigenfunction approach based on a frequency domain. New stability criteria, which are of delay-independent algebraic criteria, were derived by taking into consideration of the structural information of the coefficient matrices of the terms related to the system state, delay and differentiation. Compared with the existing ones, the new criteria relax the limitation on coefficient matrix and give larger stable parameter domains. The criteria for a numerical example, on which the conventional criteria fail, were obtained with the new criteria.

关 键 词：中立型系统 特征方程 稳定性 代数判据 时滞无关 

分 类 号：O175.13[理学—数学]