W. Heemels, N. Van-de-wouw, R. Gielen, M. Donkers, L. Hetel et al., Comparison of overapproximation methods for stability analysis of networked control systems, Proceedings of the 13th ACM international conference on Hybrid systems: computation and control, HSCC '10, pp.181-190, 2010.
DOI : 10.1145/1755952.1755979
URL : https://hal.archives-ouvertes.fr/hal-00520181

W. Michiels and S. Niculescu, Stability and Stabilization of Time- Delay Systems (Advances in Design & Control), 2007.

K. Gu, V. L. Kharitonov, and J. Chen, Stability of time-delay systems, Birkhäuser, 2003.
DOI : 10.1007/978-1-4612-0039-0
URL : https://hal.archives-ouvertes.fr/hal-00664367

J. Maciejowski, Predictive Control with Constraints, 2002.

T. A. Johansen and A. Grancharova, Explicit Nonlinear Model Predictive Control, 2012.

A. Bemporad, M. Morari, V. Dua, and E. N. Pistikopoulos, The explicit linear quadratic regulator for constrained systems, Automatica, vol.38, issue.1, pp.3-20, 2002.
DOI : 10.1016/S0005-1098(01)00174-1

T. A. Johansen and A. Grancharova, Approximate explicit constrained linear model predictive control via orthogonal search tree, IEEE Transactions on Automatic Control, vol.48, issue.5, pp.810-815, 2003.
DOI : 10.1109/TAC.2003.811259
URL : http://www.dcs.gla.ac.uk/mac/MACpublications/JohGra03.pdf

M. Johansson and A. Rantzer, Computation of piecewise quadratic Lyapunov functions for hybrid systems, IEEE Transactions on Automatic Control, vol.43, issue.4, pp.555-559, 1998.
DOI : 10.1109/9.664157

M. Hovd and S. Olaru, Relaxing PWQ Lyapunov stability criteria for PWA systems, Automatica, vol.49, issue.2, pp.667-670, 2013.
DOI : 10.1016/j.automatica.2012.10.013
URL : https://hal.archives-ouvertes.fr/hal-00794374

R. Iervolino, F. Vasca, and L. Iannelli, Cone-Copositive Piecewise Quadratic Lyapunov Functions for Conewise Linear Systems, IEEE Transactions on Automatic Control, vol.60, issue.11, pp.3077-3082, 2015.
DOI : 10.1109/TAC.2015.2409933

F. Blanchini and S. Miani, Set-theoretic methods in control, 2008.
DOI : 10.1007/978-3-319-17933-9

G. Bitsoris, Positively invariant polyhedral sets of discrete-time linear systems, International Journal of Control, vol.82, issue.6, pp.1713-1726, 1988.
DOI : 10.1080/00207178808906132

W. Lombardi, Constrained control for time-delay systems, 2011.
URL : https://hal.archives-ouvertes.fr/tel-00631507

M. B. Cloosterman, N. Van-de-wouw, W. M. Heemels, and H. Nijmeijer, Robust stability of networked control systems with timevarying network-induced delays, 45 th IEEE Conference on Decision and Control, pp.4980-4985, 2006.

Z. Wang, J. Sun, and J. Chen, A New Polytopic Approximation Method for Networked Systems With Time-Varying Delay, IEEE Transactions on Circuits and Systems II: Express Briefs, vol.63, issue.9, pp.843-847, 2016.
DOI : 10.1109/TCSII.2016.2534858

R. Gielen, S. Olaru, M. Lazar, W. Heemels, N. Van-de-wouw et al., On polytopic inclusions as a modeling framework for systems with time-varying delays, Automatica, vol.46, issue.3, pp.615-619, 2010.
DOI : 10.1016/j.automatica.2010.01.002
URL : https://hal.archives-ouvertes.fr/hal-00524547

S. Olaru, N. Stankovi´cstankovi´c, G. Bitsoris, and S. Niculescu, Low Complexity Invariant Sets for Time-Delay Systems: A Set Factorization Approach, Low-Complexity Controllers for Time-Delay Systems, pp.127-139, 2014.
DOI : 10.1007/978-3-319-05576-3_9
URL : https://hal.archives-ouvertes.fr/hal-01096001

N. A. Nguyen, S. Olaru, P. Rodriguez-ayerbe, G. Bitsoris, and M. Hovd, Explicit robustness and fragility margins for linear discrete systems with piecewise affine control law, Automatica, vol.68, pp.334-343, 2016.
DOI : 10.1016/j.automatica.2015.10.048
URL : https://hal.archives-ouvertes.fr/hal-01408554

M. Laraba, S. Olaru, and S. Niculescu, Analysis of PWA control of discrete-time linear dynamics in the presence of variable time-delay, 2016 IEEE 55th Conference on Decision and Control (CDC), pp.567-572, 2016.
DOI : 10.1109/CDC.2016.7798329
URL : https://hal.archives-ouvertes.fr/hal-01429223

F. Blanchini, Set invariance in control, Automatica, vol.35, issue.11, pp.1747-1767, 1999.
DOI : 10.1016/S0005-1098(99)00113-2

W. Lombardi, S. Olaru, S. Niculescu, and L. Hetel, A predictive control scheme for systems with variable time-delay, International Journal of Control, vol.31, issue.7, pp.915-932, 2012.
DOI : 10.1109/37.898794
URL : https://hal.archives-ouvertes.fr/hal-00734738

A. Bemporad, M. Morari, V. Dua, and E. Pistikopoulos, The explicit linear quadratic regulator for constrained systems, Automatica, vol.38, issue.1, pp.3-20, 2002.
DOI : 10.1016/S0005-1098(01)00174-1

S. Olaru and S. Niculescu, Predictive control for systems with delay and constraints PLACE PHOTO HERE Mohammed-Tahar Laraba received his M.Sc. degree in Control and Signals Processing from Paris- Sud University, France in 2014, Proceedings of IFAC World Congress Thereafter, he started working towards a Ph.D. degree in the Laboratory of Signals and Systems at CentraleSupélec. He is working as an Early Stage Researcher (ESR), 2008.