Delay-dependent stability of high order Runge–Kutta methods

Numerische Mathematik ◽

10.1007/s00211-008-0197-z ◽

2008 ◽

Vol 111 (3) ◽

pp. 377-387 ◽

Author(s):

Chengming Huang

Keyword(s):

Runge Kutta ◽

Delay Dependent ◽

Delay Dependent Stability

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Construction of high-order Runge–Kutta methods which preserve delay-dependent stability of DDEs

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.12.034 ◽

2016 ◽

Vol 280 ◽

pp. 168-179

Author(s):

Dongfang Li ◽

Chengjian Zhang

Keyword(s):

Runge Kutta ◽

Delay Dependent ◽

Delay Dependent Stability

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Delay-dependent stability criteria for impulsive high-order Hopfield-Type neural networks with time-varying delays

Proceedings of the 2015 International Conference on Electrical, Computer Engineering and Electronics ◽

10.2991/icecee-15.2015.255 ◽

2015 ◽

Author(s):

Hui Yang ◽

Xiaofeng Li ◽

Dongming Wang

Keyword(s):

Neural Networks ◽

Time Varying ◽

Stability Criteria ◽

Delay Dependent ◽

Delay Dependent Stability

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Mixed delay dependent stability of high-order neural networks based on a weak coupling LMI set

ANZIAM Journal ◽

10.21914/anziamj.v51i0.1601 ◽

2010 ◽

Vol 48 ◽

pp. 123

Author(s):

Minghao Li ◽

Wuneng Zhou ◽

Ziwei Ni ◽

Mingjun Wang

Keyword(s):

Neural Networks ◽

Weak Coupling ◽

Mixed Delay ◽

Delay Dependent ◽

Delay Dependent Stability

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Weak delay-dependent stability of Runge–Kutta methods for differential systems with distributed delays

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.03.025 ◽

2018 ◽

Vol 342 ◽

pp. 70-82 ◽

Author(s):

Yuhao Cong ◽

Yanpei Wang ◽

Guangda Hu

Keyword(s):

Distributed Delays ◽

Differential Systems ◽

Runge Kutta ◽

Delay Dependent ◽

Delay Dependent Stability

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Delay-dependent stability of high-order neutral systems

Kybernetika ◽

10.14736/kyb-2021-5-0737 ◽

2021 ◽

pp. 737-749

Author(s):

Yanbin Zhao ◽

Guang-Da Hu

Keyword(s):

Neutral Systems ◽

Delay Dependent ◽

Delay Dependent Stability

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Delay-dependent stability of Runge-Kutta methods for linear neutral systems with multiple delays

Kybernetika ◽

10.14736/kyb-2018-4-0718 ◽

2018 ◽

pp. 718-735

Author(s):

Guang-Da Hu

Keyword(s):

Multiple Delays ◽

Neutral Systems ◽

Runge Kutta ◽

Delay Dependent ◽

Delay Dependent Stability

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Delay-dependent stability criteria for high-order Hopfield-type neural networks with time-varying delays and impulse

2016 35th Chinese Control Conference (CCC) ◽

10.1109/chicc.2016.7553181 ◽

2016 ◽

Author(s):

Ji Yan ◽

Ximei Liu ◽

Shengwu Hao

Keyword(s):

Neural Networks ◽

Time Varying ◽

Stability Criteria ◽

Delay Dependent ◽

Delay Dependent Stability

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DELAY-DEPENDENT STABILITY OF RUNGE-KUTTA METHODS FOR NEUTRAL SYSTEMS WITH DISTRIBUTED DELAYS

Journal of Applied Analysis & Computation ◽

10.11948/2156-907x.20180248 ◽

2019 ◽

Vol 9 (3) ◽

pp. 1032-1052

Author(s):

Shouyan Wu ◽

◽

Yuhao Cong ◽

◽

Keyword(s):

Distributed Delays ◽

Neutral Systems ◽

Runge Kutta ◽

Delay Dependent ◽

Delay Dependent Stability

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Delay-dependent stability of symmetric Runge–Kutta methods for second order delay differential equations with three parameters

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.03.005 ◽

2017 ◽

Vol 117 ◽

pp. 103-114

Author(s):

Jingjun Zhao ◽

Yan Fan ◽

Yang Xu

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Second Order ◽

Runge Kutta ◽

Delay Differential ◽

Delay Dependent ◽

Delay Dependent Stability

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Delay-dependent stability of Runge–Kutta methods for linear delay differential–algebraic equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.06.016 ◽

2020 ◽

Vol 363 ◽

pp. 300-311

Author(s):

Xiulin Hu ◽

Yuhao Cong ◽

Guang-Da Hu

Keyword(s):

Differential Algebraic Equations ◽

Algebraic Equations ◽

Linear Delay ◽

Runge Kutta ◽

Delay Differential ◽

Delay Dependent ◽

Delay Dependent Stability

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