Delay equations and nonuniform exponential stability

Luis Barreira;  ; Claudia Valls;

doi:10.3934/dcdss.2008.1.219

Delay equations and nonuniform exponential stability

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2008.1.219 ◽

2008 ◽

Vol 1 (2) ◽

pp. 219-223 ◽

Cited By ~ 1

Author(s):

Luis Barreira ◽

◽

Claudia Valls ◽

Keyword(s):

Exponential Stability ◽

Delay Equations ◽

Nonuniform Exponential Stability

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Comments on “Exponential stability of nonlinear differential delay equations” [Systems & Control Letters 28 (1996) 159–165]

Systems & Control Letters ◽

10.1016/j.sysconle.2008.03.014 ◽

2008 ◽

Vol 57 (10) ◽

pp. 834-835 ◽

Cited By ~ 2

Author(s):

Chuandong Li ◽

Qiu Yan

Keyword(s):

Exponential Stability ◽

Delay Equations ◽

Differential Delay ◽

Differential Delay Equations ◽

Systems Control

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Robustness of exponential stability of stochastic differential delay equations

IEEE Transactions on Automatic Control ◽

10.1109/9.486647 ◽

1996 ◽

Vol 41 (3) ◽

pp. 442-447 ◽

Cited By ~ 147

Author(s):

X. Mao

Keyword(s):

Exponential Stability ◽

Delay Equations ◽

Differential Delay ◽

Differential Delay Equations ◽

Stochastic Differential Delay Equations

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Datko-Pazy conditions for nonuniform exponential stability

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2017.1408609 ◽

2017 ◽

Vol 24 (3) ◽

pp. 344-357 ◽

Cited By ~ 8

Author(s):

Davor Dragičević

Keyword(s):

Exponential Stability ◽

Nonuniform Exponential Stability

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ALMOST SURE EXPONENTIAL STABILITY OF DELAY EQUATIONS WITH DAMPED STOCHASTIC PERTURBATION

Stochastic Analysis and Applications ◽

10.1081/sap-100001183 ◽

2001 ◽

Vol 19 (1) ◽

pp. 67-84 ◽

Cited By ~ 6

Author(s):

Xuerong Mao

Keyword(s):

Exponential Stability ◽

Stochastic Perturbation ◽

Delay Equations ◽

Almost Sure Exponential Stability

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Real Integrability Conditions for the Nonuniform Exponential Stability of Evolution Families on Banach Spaces

Inequalities and Applications ◽

10.1007/978-3-7643-8773-0_4 ◽

2008 ◽

pp. 31-42 ◽

Cited By ~ 1

Author(s):

Constantin Buşe

Keyword(s):

Exponential Stability ◽

Banach Spaces ◽

Evolution Families ◽

Integrability Conditions ◽

Nonuniform Exponential Stability

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Exponential stability of nonlinear differential delay equations

Systems & Control Letters ◽

10.1016/0167-6911(96)00023-0 ◽

1996 ◽

Vol 28 (3) ◽

pp. 159-165 ◽

Cited By ~ 29

Author(s):

X. Mao

Keyword(s):

Exponential Stability ◽

Delay Equations ◽

Differential Delay ◽

Differential Delay Equations

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The pth moment exponential stability and almost surely exponential stability of stochastic differential delay equations with Poisson jump

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.10.072 ◽

2019 ◽

Vol 471 (1-2) ◽

pp. 197-210 ◽

Cited By ~ 2

Author(s):

Haidan Li ◽

Quanxin Zhu

Keyword(s):

Exponential Stability ◽

Delay Equations ◽

Differential Delay ◽

Differential Delay Equations ◽

Stochastic Differential Delay Equations ◽

Poisson Jump ◽

Almost Surely Exponential Stability ◽

Pth Moment Exponential Stability ◽

Moment Exponential Stability

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Asymptotic behavior and exponential stability criteria for differential delay equations

Journal of Differential Equations ◽

10.1016/0022-0396(72)90031-9 ◽

1972 ◽

Vol 12 (2) ◽

pp. 236-255 ◽

Cited By ~ 19

Author(s):

Steven E Grossman ◽

James A Yorke

Keyword(s):

Asymptotic Behavior ◽

Exponential Stability ◽

Delay Equations ◽

Stability Criteria ◽

Differential Delay ◽

Differential Delay Equations

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EXPONENTIAL STABILITY FOR STOCHASTIC DIFFERENTIAL DELAY EQUATIONS IN HILBERT SPACES

The Quarterly Journal of Mathematics ◽

10.1093/qmath/42.1.77 ◽

1991 ◽

Vol 42 (1) ◽

pp. 77-85 ◽

Cited By ~ 17

Author(s):

XUERONG MAO

Keyword(s):

Exponential Stability ◽

Hilbert Spaces ◽

Delay Equations ◽

Differential Delay ◽

Differential Delay Equations ◽

Stochastic Differential Delay Equations

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Exponential stability for a class of state-dependent delay equations via the Crandall–Liggett approach

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.01.047 ◽

2007 ◽

Vol 329 (2) ◽

pp. 1045-1063 ◽

Cited By ~ 1

Author(s):

M. Louihi ◽

M.L. Hbid

Keyword(s):

Exponential Stability ◽

Delay Equations ◽

State Dependent ◽

State Dependent Delay

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