基于延迟分布反馈控制的三阶微分方程的稳定性
Stabilization of third-order differential equation by delay distributed feedback control.
作者信息
Domoshnitsky Alexander, Shemesh Shirel, Sitkin Alexander, Yakovi Ester, Yavich Roman
机构信息
Department of Mathematics, Ariel University, Ariel, Israel.
出版信息
J Inequal Appl. 2018;2018(1):341. doi: 10.1186/s13660-018-1930-5. Epub 2018 Dec 12.
Abstract
There are almost no results in mathematical literature on the exponential stability of third-order delay differential equations. One of the main purposes of the paper is to fill this gap. We propose an approach to the study of stability for third-order delay differential equations. On the basis of these results, new possibilities of stabilization by delay feedback input control are proposed.
摘要
在数学文献中，关于三阶时滞微分方程指数稳定性的研究结果几乎没有。本文的主要目的之一就是填补这一空白。我们提出了一种研究三阶时滞微分方程稳定性的方法。基于这些结果，提出了通过延迟反馈输入控制实现稳定化的新可能性。
相似文献
1
Stabilization of third-order differential equation by delay distributed feedback control.基于延迟分布反馈控制的三阶微分方程的稳定性
J Inequal Appl. 2018;2018(1):341. doi: 10.1186/s13660-018-1930-5. Epub 2018 Dec 12.
2
W-transform for exponential stability of second order delay differential equations without damping terms.用于无阻尼项二阶时滞微分方程指数稳定性的W变换
J Inequal Appl. 2017;2017(1):20. doi: 10.1186/s13660-017-1296-0. Epub 2017 Jan 17.
3
Convergence and stability of the exponential Euler method for semi-linear stochastic delay differential equations.半线性随机延迟微分方程指数欧拉方法的收敛性与稳定性
J Inequal Appl. 2017;2017(1):249. doi: 10.1186/s13660-017-1518-5. Epub 2017 Oct 6.
4
Global Stabilization of Fractional-Order Memristor-Based Neural Networks With Time Delay.基于分数阶忆阻器的时滞神经网络的全局稳定性。
IEEE Trans Neural Netw Learn Syst. 2020 Mar;31(3):997-1009. doi: 10.1109/TNNLS.2019.2915353. Epub 2019 Jun 3.
5
Equivalences between age structured models and state dependent distributed delay differential equations.年龄结构模型与状态相关分布时滞微分方程之间的等价性。
Math Biosci Eng. 2019 Jun 11;16(5):5419-5450. doi: 10.3934/mbe.2019270.
6
Exponential stabilization of fixed and random time impulsive delay differential system with applications.具有应用的固定和随机时滞脉冲微分系统的指数稳定性。
Math Biosci Eng. 2021 Mar 10;18(3):2384-2400. doi: 10.3934/mbe.2021121.
7
Stabilization of multi-input hybrid fractional-order systems with state delay.带状态时滞的多输入混合分数阶系统的稳定性。
ISA Trans. 2011 Jan;50(1):21-7. doi: 10.1016/j.isatra.2010.10.007. Epub 2010 Nov 18.
8
Delayed state-feedback control for stabilization of neural networks with leakage delay.时滞神经网络的时滞状态反馈控制。
Neural Netw. 2018 Sep;105:249-255. doi: 10.1016/j.neunet.2018.05.013. Epub 2018 May 28.
9
Delay-distribution-dependent stability and stabilization of T-S fuzzy systems with probabilistic interval delay.
IEEE Trans Syst Man Cybern B Cybern. 2009 Apr;39(2):503-16. doi: 10.1109/TSMCB.2008.2007496. Epub 2008 Dec 16.
10
Van der Pol model in two-delay differential equation representation.范德波尔模型在双时滞微分方程中的表示。
Sci Rep. 2022 Feb 21;12(1):2925. doi: 10.1038/s41598-022-06911-3.
本文引用的文献
1
W-transform for exponential stability of second order delay differential equations without damping terms.用于无阻尼项二阶时滞微分方程指数稳定性的W变换
J Inequal Appl. 2017;2017(1):20. doi: 10.1186/s13660-017-1296-0. Epub 2017 Jan 17.
Zotero 插件