A note on representation of nonlinear time-varying delay-differential equations as time-delay feedback systems

2013 9th Asian Control Conference (ASCC) ◽

10.1109/ascc.2013.6606108 ◽

2013 ◽

Author(s):

Tatsuya Yamazaki ◽

Tomomichi Hagiwara

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Time Varying ◽

Feedback Systems ◽

Time Varying Delay ◽

Delay Differential ◽

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Lyapunov Spectrum of Linear Delay Differential Equations with Time-Varying Delay

IFAC Proceedings Volumes ◽

10.3182/20100607-3-cz-4010.00038 ◽

2010 ◽

Vol 43 (2) ◽

pp. 206-211

Author(s):

Andreas Otto ◽

Günter Radons

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Lyapunov Spectrum ◽

Time Varying ◽

Time Varying Delay ◽

Linear Delay ◽

Delay Differential ◽

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Inequalities and exponential decay in time varying delay differential equations

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.03.027 ◽

2011 ◽

Vol 54 (1-2) ◽

pp. 794-802 ◽

Author(s):

Murat Adıvar ◽

Youssef N. Raffoul

Keyword(s):

Differential Equations ◽

Exponential Decay ◽

Delay Differential Equations ◽

Time Varying ◽

Time Varying Delay ◽

Delay Differential ◽

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Further remarks on Markus-Yamabe instability for time-varying delay differential equations∗∗This work was partially supported by the DIGITEO grant SSy-CoDyC and by the Laboratoire des Signaux et Systemes (L2S), and in the framework of the iCODE institute, research project of the Idex Paris-Saclay.

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2015.09.349 ◽

2015 ◽

Vol 48 (12) ◽

pp. 33-38 ◽

Author(s):

I. Haidar ◽

P. Mason ◽

S.I. Niculescu ◽

M. Sigalotti ◽

A. Chaillet

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Time Varying ◽

Research Project ◽

Time Varying Delay ◽

Delay Differential ◽

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A Note on the Representation of Delay-Differential Equations as Time-Delay Feedback Systems

UKACC International Conference on CONTROL 2010 ◽

10.1049/ic.2010.0310 ◽

2010 ◽

Author(s):

T. Hagiwara ◽

M. Kobayashi

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Feedback Systems ◽

Delay Differential

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Conversion of linear time-invariant time-delay feedback systems into delay-differential equations with commensurate delays

International Journal of Systems Science ◽

10.1080/00207721.2012.748942 ◽

2013 ◽

Vol 45 (8) ◽

pp. 1643-1656 ◽

Author(s):

Tatsuya Yamazaki ◽

Tomomichi Hagiwara

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Linear Time ◽

Feedback Systems ◽

Linear Time Invariant ◽

Commensurate Delays ◽

Delay Differential ◽

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Concatenated solutions of delay-differential equations and their representation with time-delay feedback systems

International Journal of Control ◽

10.1080/00207179.2011.593002 ◽

2011 ◽

Vol 84 (6) ◽

pp. 1126-1139 ◽

Author(s):

Tomomichi Hagiwara ◽

Masahiro Kobayashi

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Feedback Systems ◽

Delay Differential

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Conversion of Linear Time-Invariant Delay-Differential Equations with External Input and Output into Representation as Time-Delay Feedback Systems

SICE Journal of Control Measurement and System Integration ◽

10.9746/jcmsi.5.200 ◽

2012 ◽

Vol 5 (4) ◽

pp. 200-209 ◽

Author(s):

Tatsuya YAMAZAKI ◽

Tomomichi HAGIWARA

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Linear Time ◽

External Input ◽

Feedback Systems ◽

Linear Time Invariant ◽

Input And Output ◽

Delay Differential ◽

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Stabilization of time-delay systems with a Controlled time-varying delay and applications

IEEE Transactions on Automatic Control ◽

10.1109/tac.2005.844723 ◽

2005 ◽

Vol 50 (4) ◽

pp. 493-504 ◽

Author(s):

W. Michiels ◽

V. Van Assche ◽

S.-I. Niculescu

Keyword(s):

Delay Systems ◽

Time Varying ◽

Time Delay Systems ◽

Time Varying Delay ◽

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A class of Langevin time-delay differential equations with general fractional orders and their applications to vibration theory

Journal of King Saud University - Science ◽

10.1016/j.jksus.2021.101596 ◽

2021 ◽

pp. 101596

Author(s):

Ismail T. Huseynov ◽

Nazim I. Mahmudov

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Vibration Theory ◽

Delay Differential ◽

Fractional Orders

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Stabilisation of nonlinear hybrid stochastic systems with time-varying delay by discrete-time feedback controls with a time delay

International Journal of Systems Science ◽

10.1080/00207721.2021.2010832 ◽

2021 ◽

pp. 1-20

Author(s):

Jianqiu Lu ◽

Yun Lu ◽

Simin Wang ◽

Liangjian Hu ◽

Yanan Jiang

Keyword(s):

Discrete Time ◽

Stochastic Systems ◽

Time Varying ◽

Feedback Controls ◽

Time Varying Delay ◽

Hybrid Stochastic Systems ◽

Varying Delay ◽

Nonlinear Hybrid

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