<i>p</i>th moment exponential stability of hybrid stochastic functional differential equations by feedback control based on discrete-time state observations

Yuyun Zhao;  ; Yi Zhang; Tao Xu; Ling Bai; Qian Zhang;

doi:10.3934/dcdsb.2017011

pth moment exponential stability of hybrid stochastic functional differential equations by feedback control based on discrete-time state observations

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2017011 ◽

2017 ◽

Vol 22 (1) ◽

pp. 209-226

Author(s):

Yuyun Zhao ◽

◽

Yi Zhang ◽

Tao Xu ◽

Ling Bai ◽

...

Keyword(s):

Feedback Control ◽

Differential Equations ◽

Exponential Stability ◽

Discrete Time ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Moment Exponential Stability ◽

Stochastic Functional

Download Full-text

Moment exponential stability and integrability of stochastic functional differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.11.098 ◽

2012 ◽

Vol 218 (10) ◽

pp. 6125-6134 ◽

Cited By ~ 2

Author(s):

Gorica Pavlović ◽

Svetlana Janković

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Moment Exponential Stability ◽

Stochastic Functional

Download Full-text

The p-th moment exponential stability of neutral stochastic functional differential equations

Filomat ◽

10.2298/fil0601059j ◽

2006 ◽

Vol 20 (1) ◽

pp. 59-72 ◽

Cited By ~ 11

Author(s):

Svetlana Jankovic ◽

Miljana Jovanovic

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Moment Exponential Stability ◽

Stochastic Functional

Download Full-text

pth Moment exponential stability of impulsive stochastic functional differential equations with Markovian switching

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2014.04.001 ◽

2014 ◽

Vol 351 (7) ◽

pp. 3965-3986 ◽

Cited By ~ 126

Author(s):

Quanxin Zhu

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Markovian Switching ◽

Stochastic Functional Differential Equations ◽

Pth Moment Exponential Stability ◽

Functional Differential ◽

Moment Exponential Stability ◽

Stochastic Functional

Download Full-text

pth Moment exponential stability of impulsive stochastic functional differential equations and application to control problems of NNs

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2014.04.008 ◽

2014 ◽

Vol 351 (9) ◽

pp. 4435-4456 ◽

Cited By ~ 37

Author(s):

Xiaodi Li ◽

Quanxin Zhu ◽

Donal O׳Regan

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Control Problems ◽

Stochastic Functional Differential Equations ◽

Pth Moment Exponential Stability ◽

Functional Differential ◽

Moment Exponential Stability ◽

Stochastic Functional

Download Full-text

On the pth moment exponential stability criteria of neutral stochastic functional differential equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.02.030 ◽

2007 ◽

Vol 326 (1) ◽

pp. 266-280 ◽

Cited By ~ 50

Author(s):

Jelena Randjelović ◽

Svetlana Janković

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Stability Criteria ◽

Pth Moment Exponential Stability ◽

Functional Differential ◽

Moment Exponential Stability ◽

Stochastic Functional

Download Full-text

Razumikhin-type theorems on exponential stability of stochastic functional differential equations

Stochastic Processes and their Applications ◽

10.1016/s0304-4149(96)00109-3 ◽

1996 ◽

Vol 65 (2) ◽

pp. 233-250 ◽

Cited By ~ 127

Author(s):

Xuerong Mao

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stochastic Functional

Download Full-text

Novel criteria for exponential stability in mean square of stochastic functional differential equations

Proceedings of the American Mathematical Society ◽

10.1090/proc/14994 ◽

2020 ◽

Vol 148 (8) ◽

pp. 3427-3436 ◽

Cited By ~ 1

Author(s):

Pham Huu Anh Ngoc

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Mean Square ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stability In Mean Square ◽

Stochastic Functional

Download Full-text

On exponential stability in mean square of neutral stochastic functional differential equations

Systems & Control Letters ◽

10.1016/j.sysconle.2021.104965 ◽

2021 ◽

Vol 154 ◽

pp. 104965

Author(s):

Pham Huu Anh Ngoc

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Mean Square ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stability In Mean Square ◽

Stochastic Functional

Download Full-text

Practical exponential stability of impulsive stochastic functional differential equations

Systems & Control Letters ◽

10.1016/j.sysconle.2017.09.009 ◽

2017 ◽

Vol 109 ◽

pp. 43-48 ◽

Cited By ~ 9

Author(s):

Tomás Caraballo ◽

Mohamed Ali Hammami ◽

Lassaad Mchiri

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Stochastic Functional Differential Equations ◽

Functional Differential ◽

Stochastic Functional

Download Full-text

Mean square exponential stability for stochastic functional differential equations with impulses

Nonlinear Analysis and Differential Equations ◽

10.12988/nade.2013.13002 ◽

2013 ◽

Vol 1 ◽

pp. 15-22

Author(s):

Nan Ding

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Functional Differential Equations ◽

Mean Square ◽

Stochastic Functional Differential Equations ◽

Mean Square Exponential Stability ◽

Functional Differential ◽

Stochastic Functional

Download Full-text