Delay‐dependent stability of nonlinear hybrid neutral stochastic differential equations with multiple delays

Ruili Song; Bo Wang; Quanxin Zhu

doi:10.1002/rnc.5275

Delay‐dependent stability of nonlinear hybrid neutral stochastic differential equations with multiple delays

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.5275 ◽

2020 ◽

Vol 31 (1) ◽

pp. 250-267 ◽

Cited By ~ 1

Author(s):

Ruili Song ◽

Bo Wang ◽

Quanxin Zhu

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Multiple Delays ◽

Delay Dependent ◽

Delay Dependent Stability ◽

Nonlinear Hybrid

Download Full-text

Delay dependent stability regions of -methods for delay differential equations

IMA Journal of Numerical Analysis ◽

10.1093/imanum/18.3.399 ◽

1998 ◽

Vol 18 (3) ◽

pp. 399-418 ◽

Cited By ~ 39

Author(s):

N Guglielmi

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Stability Regions ◽

Delay Differential ◽

Delay Dependent ◽

Delay Dependent Stability

Download Full-text

A delay-dependent stability criterion for nonlinear stochastic delay-integro-differential equations

Acta Mathematica Scientia ◽

10.1016/s0252-9602(11)60363-9 ◽

2011 ◽

Vol 31 (5) ◽

pp. 1813-1822

Author(s):

Niu Yuanling ◽

Zhang Chengjian ◽

Duan Jinqiao

Keyword(s):

Differential Equations ◽

Stability Criterion ◽

Stochastic Delay ◽

Delay Dependent ◽

Delay Dependent Stability

Download Full-text

Delay-dependent stability switches in fractional differential equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2019.104888 ◽

2019 ◽

Vol 79 ◽

pp. 104888 ◽

Cited By ~ 3

Author(s):

Jan Čermák ◽

Tomáš Kisela

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Stability Switches ◽

Fractional Differential ◽

Delay Dependent ◽

Delay Dependent Stability

Download Full-text

Delay-dependent stability analysis of numerical methods for stochastic delay differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.03.003 ◽

2012 ◽

Vol 236 (14) ◽

pp. 3514-3527 ◽

Cited By ~ 19

Author(s):

Chengming Huang ◽

Siqing Gan ◽

Desheng Wang

Keyword(s):

Stability Analysis ◽

Numerical Methods ◽

Differential Equations ◽

Delay Differential Equations ◽

Stochastic Delay Differential Equations ◽

Stochastic Delay ◽

Delay Differential ◽

Delay Dependent ◽

Delay Dependent Stability

Download Full-text

Delay-dependent stability of linear multistep methods for DAEs with multiple delays

Numerical Algorithms ◽

10.1007/s11075-017-0457-z ◽

2017 ◽

Vol 79 (3) ◽

pp. 719-739 ◽

Cited By ~ 2

Author(s):

Xiulin Hu ◽

Yuhao Cong ◽

Guang-Da Hu

Keyword(s):

Multistep Methods ◽

Linear Multistep Methods ◽

Multiple Delays ◽

Delay Dependent ◽

Delay Dependent Stability

Download Full-text

Kramers–Moyal expansion for stochastic differential equations with single and multiple delays: Applications to financial physics and neurophysics

Physics Letters A ◽

10.1016/j.physleta.2006.08.062 ◽

2007 ◽

Vol 360 (4-5) ◽

pp. 552-562 ◽

Cited By ~ 14

Author(s):

T.D. Frank

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Multiple Delays

Download Full-text

Generalized criteria on delay‐dependent stability of highly nonlinear hybrid stochastic systems

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.4402 ◽

2018 ◽

Vol 29 (5) ◽

pp. 1201-1215 ◽

Cited By ~ 8

Author(s):

Weiyin Fei ◽

Liangjian Hu ◽

Xuerong Mao ◽

Mingxuan Shen

Keyword(s):

Stochastic Systems ◽

Highly Nonlinear ◽

Hybrid Stochastic Systems ◽

Delay Dependent ◽

Delay Dependent Stability ◽

Nonlinear Hybrid

Download Full-text

An Analysis of Delay-Dependent Stability for Ordinary and Partial Differential Equations with Fixed and Distributed Delays

SIAM Journal on Scientific Computing ◽

10.1137/s1064827502409717 ◽

2004 ◽

Vol 25 (5) ◽

pp. 1608-1632 ◽

Cited By ~ 56

Author(s):

Chengming Huang ◽

Stefan Vandewalle

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Distributed Delays ◽

Partial Differential ◽

Delay Dependent ◽

Delay Dependent Stability

Download Full-text

Delay-dependent stability of non-linear hybrid stochastic functional differential equations

IET Control Theory and Applications ◽

10.1049/iet-cta.2019.0329 ◽

2020 ◽

Vol 14 (2) ◽

pp. 198-206 ◽

Cited By ~ 2

Author(s):

Ruili Song ◽

Bo Wang ◽

Quanxin Zhu

Keyword(s):

Differential Equations ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Non Linear ◽

Functional Differential ◽

Delay Dependent ◽

Delay Dependent Stability ◽

Stochastic Functional

Download Full-text

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

Download Full-text