we will investigate stability problems for systems with several and time-varying delays. References Stability analysis for linear non-autonomous systems with continuously distributed multiple time-varying delays and applications, future works, pp.129-143, 2011. ,
Linear systems with delayed controls: A reduction, IEEE Transactions on Automatic Control, vol.27, issue.4, pp.869-879, 1982. ,
DOI : 10.1109/TAC.1982.1103023
Ordinary Differential Equations, Qualitative Theory ,
Nonlinear Control Under Nonconstant Delays, Society for Industrial and Applied Mathematics ,
DOI : 10.1137/1.9781611972856
Algorithms for the matrix pth root, Numerical Algorithms, vol.76, issue.11, pp.349-378, 2005. ,
DOI : 10.1007/s11075-004-6709-8
COMPANION FORMS AND CYCLIC MATRICES FOR DISCRETE-TIME PERIODIC SYSTEMS, Proceedings of the IFAC 15th Triennial World Congress, pp.1-6, 2002. ,
DOI : 10.3182/20020721-6-ES-1901.00200
Prediction-Based Stabilization of Linear Systems Subject to Input-Dependent Input Delay of Integral-Type, IEEE Transactions on Automatic Control, vol.59, issue.9, pp.2385-2399, 2014. ,
DOI : 10.1109/TAC.2014.2322238
URL : https://hal.archives-ouvertes.fr/hal-01059870
Robust compensation of a chattering time-varying input delay, 53rd IEEE Conference on Decision and Control, pp.457-462, 2014. ,
DOI : 10.1109/CDC.2014.7039423
URL : https://hal.archives-ouvertes.fr/hal-01100071
Stability of networked control systems with large delays, 2007 46th IEEE Conference on Decision and Control, pp.5017-5022, 2007. ,
DOI : 10.1109/CDC.2007.4434669
On the existence and uniqueness of the real logarithm of a matrix, Proceedings of the, pp.1146-1151, 1966. ,
DOI : 10.1090/S0002-9939-1966-0202740-6
When is a periodic discrete-time system equivalent to a time-invariant one? Linear Algebra and Its Applications, pp.131-151, 1994. ,
Robustness of a discrete-time predictorbased controller for time-varying measurement delay, Control Engineering Practice, vol.20, issue.2, pp.102-110, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00486263
Floquet transformations for discrete-time systems: Equivalence between periodic systems and time-invariant ones, 2008 47th IEEE Conference on Decision and Control, pp.5140-5145, 2008. ,
DOI : 10.1109/CDC.2008.4738701
Discrete-time control for switched positive systems with application to mitigating viral escape, International Journal of Robust and Nonlinear Control, vol.4, issue.4, pp.1093-1111, 2011. ,
DOI : 10.1002/rnc.1628
Functions of Matrices: Theory and Computation, Society for Industrial and Applied Mathematics, 2008. ,
DOI : 10.1137/1.9780898717778
Robust predictor feedback for discrete-time systems with input delays, International Journal of Control, vol.86, issue.9, pp.1652-1663, 2013. ,
DOI : 10.1002/(SICI)1099-1239(199604)6:3<171::AID-RNC140>3.0.CO;2-0
Delay Compensation for Nonlinear, Adaptive, and PDE Systems, 2009. ,
DOI : 10.1007/978-0-8176-4877-0
Input Delay Compensation for Forward Complete and Strict-Feedforward Nonlinear Systems, IEEE Transactions on Automatic Control, vol.55, issue.2, pp.287-303, 2010. ,
DOI : 10.1109/TAC.2009.2034923
Feedback stabilization of linear systems with delayed control, IEEE Transactions on Automatic Control, vol.25, issue.2, pp.266-269, 1980. ,
DOI : 10.1109/TAC.1980.1102288
Robustness of Adaptive Control under Time Delays for Three-Dimensional Curve Tracking, SIAM Journal on Control and Optimization, vol.53, issue.4, pp.2203-2236, 2015. ,
DOI : 10.1137/120904354
Control of linear systems with time delay, Electronics Letters, vol.4, issue.20, pp.439-440, 1968. ,
DOI : 10.1049/el:19680346
Local Stabilization of Nonlinear Systems Through the Reduction Model Approach, IEEE Transactions on Automatic Control, vol.59, issue.11, pp.3033-3039, 2014. ,
DOI : 10.1109/TAC.2014.2317292
URL : https://hal.archives-ouvertes.fr/hal-01098433
Further results on input-to-state stability for nonlinear systems with delayed feedbacks, Automatica, vol.44, issue.9, pp.2415-2421, 2008. ,
DOI : 10.1016/j.automatica.2008.01.024
URL : https://hal.archives-ouvertes.fr/hal-00857808
Reduction Model Approach for Linear Time-Varying Systems With Delays, IEEE Transactions on Automatic Control, vol.59, issue.8, pp.592068-2082, 2014. ,
DOI : 10.1109/TAC.2014.2320308
URL : https://hal.archives-ouvertes.fr/hal-01062761
Lyapunov???Krasovskii functionals and application to input delay compensation for linear time-invariant systems, Automatica, vol.48, issue.7, pp.481317-1323, 2012. ,
DOI : 10.1016/j.automatica.2012.04.002
URL : https://hal.archives-ouvertes.fr/hal-00761591
Differential Equations and Dynamical Systems, 2001. ,
An application of Razumikhin theorem to exponential stability for linear non-autonomous systems with time-varying delay, Applied Mathematics Letters, vol.22, issue.9, pp.1412-1417, 2009. ,
DOI : 10.1016/j.aml.2009.01.053
Discrete-time periodic systems: a Floquet approach, Proceedings of the Conference on Information Sciences and Systems, pp.194-195, 1993. ,
On stability properties of time-varying systems with delays, IEEE Conference on Decision and Control and European Control Conference, pp.314-319, 2011. ,
DOI : 10.1109/CDC.2011.6160468
Remote Stabilization Via Communication Networks With a Distributed Control Law, IEEE Transactions on Automatic Control, vol.52, issue.8, pp.521480-1485, 2007. ,
DOI : 10.1109/TAC.2007.902757
URL : https://hal.archives-ouvertes.fr/hal-00201790