Sufficient conditions for stability of linear time-delay systems with dependent delays  

作　　者：Ying Zhu Qina Gao Yang Xiao 

机构地区：[1]School of Electronic and Information Engineering, Beihang University [2]Beijing Aeronautical Technology Research Center [3]Institute of Information Science, Beijing Jiaotong University

出　　处：《Journal of Systems Engineering and Electronics》2013年第5期845-851,共7页系统工程与电子技术（英文版）

基　　金：supported by the National Natural Science Foundation of China(60572093);the Natural Science Foundation of Beijing(4102050)

摘　　要：According to the delay property, linear time-delay （LTD） systems can be classified as LTD systems with depen- dent delays （LTD_DD） and LTD systems with independent delays （LTD_ID）. This paper reveals that the stability condition for LTD_ID systems can be applied to LTD_DD systems, a sufficient stability condition for LTD_DD systems is derived from it, while only fewer of the LTD_DD systems can satisfy the stability condition due to the very strict limitation for the delays of the LTD_DD systems. To solve the problem, based on two-dimensional （2-D） hybrid polynomials, some sufficient conditions for stability of LTD_DD systems are pro- posed. Examples show that the proposed stability test algorithms are simple and valid.According to the delay property, linear time-delay （LTD） systems can be classified as LTD systems with depen- dent delays （LTD_DD） and LTD systems with independent delays （LTD_ID）. This paper reveals that the stability condition for LTD_ID systems can be applied to LTD_DD systems, a sufficient stability condition for LTD_DD systems is derived from it, while only fewer of the LTD_DD systems can satisfy the stability condition due to the very strict limitation for the delays of the LTD_DD systems. To solve the problem, based on two-dimensional （2-D） hybrid polynomials, some sufficient conditions for stability of LTD_DD systems are pro- posed. Examples show that the proposed stability test algorithms are simple and valid.

关 键 词：time-delay systems auasipolvnomials stabilitv test 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]