Exponential <mml:math altimg="si2.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>-stability for a class of linear systems governed by continuous-time difference equations

Sérine Damak; Michael Di Loreto; Warody Lombardi; Vincent Andrieu

doi:10.1016/j.automatica.2014.10.087

Exponential L2-stability for a class of linear systems governed by continuous-time difference equations

Automatica ◽

10.1016/j.automatica.2014.10.087 ◽

2014 ◽

Vol 50 (12) ◽

pp. 3299-3303 ◽

Cited By ~ 7

Author(s):

Sérine Damak ◽

Michael Di Loreto ◽

Warody Lombardi ◽

Vincent Andrieu

Keyword(s):

Linear Systems ◽

Difference Equations ◽

Continuous Time ◽

Time Difference

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Stability of linear continuous-time difference equations with distributed delay: Constructive exponential estimates

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.3249 ◽

2014 ◽

Vol 25 (17) ◽

pp. 3195-3209 ◽

Cited By ~ 11

Author(s):

Sérine Damak ◽

Michael Di Loreto ◽

Sabine Mondié

Keyword(s):

Difference Equations ◽

Continuous Time ◽

Distributed Delay ◽

Time Difference ◽

Exponential Estimates

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Dynamical Systems Induced by Continuous Time Difference Equations and Long-time Behavior of Solutions

The Journal of Difference Equations and Applications ◽

10.1080/1023619021000047707 ◽

2003 ◽

Vol 9 (3-4) ◽

pp. 263-280 ◽

Cited By ~ 6

Author(s):

Elena Yu. Romanenko

Keyword(s):

Dynamical Systems ◽

Difference Equations ◽

Continuous Time ◽

Time Difference ◽

Time Behavior ◽

Long Time Behavior ◽

Long Time

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Construction of Lyapunov Functionals for Networks of Coupled Delay Differential and Continuous-Time Difference Equations

IFAC Proceedings Volumes ◽

10.3182/20140824-6-za-1003.01136 ◽

2014 ◽

Vol 47 (3) ◽

pp. 6800-6805

Author(s):

Hiroshi Ito ◽

Frédéric Mazenc ◽

Pierdomenico Pepe

Keyword(s):

Difference Equations ◽

Continuous Time ◽

Time Difference ◽

Lyapunov Functionals ◽

Delay Differential

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Stability and Stabilization for Continuous-Time Difference Equations with Distributed Delay

Delays and Networked Control Systems - Advances in Delays and Dynamics ◽

10.1007/978-3-319-32372-5_2 ◽

2016 ◽

pp. 17-36 ◽

Cited By ~ 1

Author(s):

Michael Di Loreto ◽

Sérine Damak ◽

Sabine Mondié

Keyword(s):

Difference Equations ◽

Continuous Time ◽

Distributed Delay ◽

Time Difference ◽

Stability And Stabilization

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On the asymptotic stability of coupled delay differential and continuous time difference equations☆

Automatica ◽

10.1016/s0005-1098(04)00243-2 ◽

2005 ◽

Vol 41 (1) ◽

pp. 107-112 ◽

Cited By ~ 13

Author(s):

P PEPE

Keyword(s):

Asymptotic Stability ◽

Difference Equations ◽

Continuous Time ◽

Time Difference ◽

Delay Differential

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On the stability of coupled delay differential and continuous time difference equations

IEEE Transactions on Automatic Control ◽

10.1109/tac.2003.815036 ◽

2003 ◽

Vol 48 (8) ◽

pp. 1422-1427 ◽

Cited By ~ 54

Author(s):

P. Pepe ◽

E.I. Verriest

Keyword(s):

Difference Equations ◽

Continuous Time ◽

Time Difference ◽

The Stability ◽

Delay Differential

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The Liapunov's second method for continuous time difference equations

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.861 ◽

2003 ◽

Vol 13 (15) ◽

pp. 1389-1405 ◽

Cited By ~ 45

Author(s):

P. Pepe

Keyword(s):

Difference Equations ◽

Continuous Time ◽

Time Difference

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On the stability of coupled delay differential and continuous time difference equations

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) ◽

10.1109/cdc.2003.1271888 ◽

2004 ◽

Cited By ~ 1

Author(s):

P. Pepe ◽

E.I. Verriest

Keyword(s):

Difference Equations ◽

Continuous Time ◽

Time Difference ◽

The Stability ◽

Delay Differential

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Construction of Lyapunov functionals for coupled differential and continuous time difference equations

52nd IEEE Conference on Decision and Control ◽

10.1109/cdc.2013.6760215 ◽

2013 ◽

Cited By ~ 7

Author(s):

Frederic Mazenc ◽

Hiroshi Ito ◽

Pierdomenico Pepe

Keyword(s):

Difference Equations ◽

Continuous Time ◽

Time Difference ◽

Lyapunov Functionals

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On the asymptotic stability of coupled delay differential and continuous time difference equations

Automatica ◽

10.1016/j.automatica.2004.08.011 ◽

2005 ◽

Vol 41 (1) ◽

pp. 107-112 ◽

Cited By ~ 4

Author(s):

P. Pepe

Keyword(s):

Asymptotic Stability ◽

Difference Equations ◽

Continuous Time ◽

Time Difference ◽

Delay Differential

Download Full-text