带有混合时滞和非线性扰动的中立系统指数稳定性改进的判别准则
Improved Exponential Stability Criteria for Neutral System with Mixed Time-Varying Delays and Nonlinear Perturbations
DOI: 10.12677/AAM.2021.101027, PDF, 下载: 508  浏览: 592  科研立项经费支持
作者: 吴清迪*, 王少英#, 邱 芳：滨州学院理学院 山东 滨州
关键词: 中性系统；指数稳定性；时变时滞；非线性扰动；Neutral System； Exponential Stability； Time-Varying Delay； Nonlinear Perturbation
摘要: 本文主要研究带有混合时变时滞和非线性扰动的不确定中立型系统的指数稳定性问题。构造新的李雅谱诺夫泛函时考虑了区间时变时滞的上界和下界，结合改进的自由权矩阵方法，利用线性矩阵不等式给出了一些新的时滞相关的稳定性准则。提出的新算法适用千离散时滞下界不为零的情况。数值例子进一步表明本文算法的有效性。
Abstract: This paper is concerned with the exponential stability problem for uncertain neu- tral systems with mixed time-varying delays and nonlinear perturbations. Some new stability criteria dependent on time delay are derived in terms of linear matrix in- equalities (LMIs). The proposed method is based on the new Lyapunov-Krasovskii functionals involving lower and upper bounds of interval time-varying delays and Im- proved Free-Weighting Matrices approach (IFWM), and is applicable to the case that the lower bound of discrete delay is not zero. Two numerical examples are provided to show the effectiveness of the proposed method.
文章引用：吴清迪, 王少英, 邱芳. 带有混合时滞和非线性扰动的中立系统指数稳定性改进的判别准则[J]. 应用数学进展, 2021, 10(1): 238-247. https://doi.org/10.12677/AAM.2021.101027

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