多延时线性中立型系统的稳定性的代数判据  

Stability of Linear Neutral Systems with Multiple Delay:Algebraic Criteria

作　　者：徐明跃[1] 胡广大[2] 赵岩斌[3] 

机构地区：[1]哈尔滨工业大学航天学院 [2]北京科技大学信息工程学院自动化系,北京100083 [3]东北师范大学数学与统计学院,长春130024

出　　处：《系统仿真学报》2008年第14期3659-3661,共3页Journal of System Simulation

基　　金：国家自然科学基金项目(10671049);黑龙江省自然科学基金项目(A020040-9)

摘　　要：近年来多延时线性中立型微分系统的稳定性被广泛研究,大量的充分条件被得到,这些条件互为补充,使得很多这类系统的稳定性通过这些充分条件得以判定(参见文献[1-4]),我们借助于矩阵理论得到了依赖于延时的稳定性代数判据;进而给出了独立于延时的稳定性代数判据,最后给出例子来说明所给判据是对文献[1-4]所给判据的补充。Many papers have considered the stability of linear neutral delay-differential systems with multiple delays, however, these given criteria are mostly adequate （literature [1]-[4]）, so the criteria could be given which are either extension or complement of these given criteria. In the present note, the stability of linear neutral delay-differential systems with multiple delays was investigated. The delay-dependent stability criteria were proposed and then the delay-independent stability criteria are were given. An example was given to illustrate that these criteria may complement those reported in the literature [1,2,3,4].

关 键 词：依赖于延时的稳定性判据 独立于延时的稳定性判据 中立型延时系统 多延时 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231[自动化与计算机技术—控制科学与工程]