Sufficient conditions for stability of linear time-delay systems with dependent delays 被引量：1

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

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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.

作者 Ying Zhu Qina Gao Yang Xiao

机构地区 School of Electronic and Information Engineering Beijing Aeronautical Technology Research Center Institute of Information Science

出处《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 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)

关键词 time-delay systems auasipolvnomials stabilitv test 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]

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参考文献4

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二级参考文献17

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共引文献7

1Xiao YangInstitute of Information Science, Northern Jiaotong University, Beijing 100044, P.R. China(Received July 25, 2001).Stability Test for 2-D Continuous-Discrete Systems[J].Journal of Systems Engineering and Electronics,2002,13(2):22-27.
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5Qina Gao,Ying Zhu,Yang Xiao.Two-dimensional Hurwitz-Schur stability test of linear systems with interval delays[J].Journal of Systems Engineering and Electronics,2013,24(4):666-673.
6朱莹,高其娜,肖扬.依赖延迟线性时滞系统的稳定性判据[J].自动化学报,2013,39(12):2150-2153. 被引量：3
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引证文献1

1柳莹莹,熊良林,邹梅,蔡丽,王珍.改进的一重积分不等式在时滞神经网络中的应用[J].理论数学,2021,11(1):79-89.

1任珩.稳定才是硬道理——CPU Stability Test帮你测试CPU的稳定性[J].电脑爱好者,2003(5):62-62.
2Xiao YangInstitute of Information Science, Northern Jiaotong University, Beijing 100044, P.R. China(Received July 25, 2001).Stability Test for 2-D Continuous-Discrete Systems[J].Journal of Systems Engineering and Electronics,2002,13(2):22-27.
3Guanli HUANG,Meng ZHOU.Termination of algorithm for computing relative Griibner bases and difference differential dimension polynomials[J].Frontiers of Mathematics in China,2015,10(3):635-648.
4Qina Gao,Ying Zhu,Yang Xiao.Two-dimensional Hurwitz-Schur stability test of linear systems with interval delays[J].Journal of Systems Engineering and Electronics,2013,24(4):666-673.
5WANG ZaiHua,DU MaoLin,SHI Min.Stability test of fractional-delay systems via integration[J].Science China(Physics,Mechanics & Astronomy),2011,54(10):1839-1846. 被引量：7
6CHENHong,OkuyamaY.Research of stability condition for time-invariant nonlinear system[J].福州大学学报（自然科学版）,2001,29(1):47-51.
7肖晓丹,张洁.Global Asymptotic Stability of Neural Networks with Time Delay[J].科技信息,2008(19):207-208.
8肖扬.Robust stability test for 2-D continuous-discrete systems with interval parameters[J].Journal of Systems Engineering and Electronics,2004,15(3):337-343.
9Chun-Ning Yang,Ya-Zhou Yue,Hui Li.New Stability Condition of T-S Fuzzy Systems and Design of Robust Flight Control Principle[J].Journal of Electronic Science and Technology,2013,11(1):96-100.
10CONG Shen,ZHANG Hai-Tao,ZOU Yun.A New Exponential Stability Condition for Delayed Systems with Markovian Switching[J].自动化学报,2010,36(7):1025-1028. 被引量：5

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Sufficient conditions for stability of linear time-delay systems with dependent delays 被引量：1

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