A. Chaillet-was-born-in-douai, He was an undergraduate scholar visitor to the University of Twente (NL), and a graduate scholar visitor to the INRIA Sophia Antipolis (FR) he received his Ph.D. degree cum laude in Control Theory from Univ. Paris Sud-L2S (FR) A. Chaillet was recipient of a Marie-Curie Scholarship to visit Università degli Studi di Firenze (IT), he served as a post-doc fellow at Centro di Ricerca Piaggio, Pisa (IT) Since Sept. 2007, he has been serving as an associate professor at L2S-Univ His research interests include control theory for neuroscience applications, stability analysis and stabilization of nonlinear systems, control of mechanical systems, and network controlled systems, Sc. degree from ESIEE AmiensSc. degree in Control Engineering from Univ. Paris Sud, 1979.

J. A. Cook, I. V. Kolmanovsky, D. Mcnamara, E. C. Nelson, and K. V. Prasad, Control, Computing and Communications: Technologies for the Twenty-First Century Model T, Proc. of IEEE, pp.334-355, 2007.
DOI : 10.1109/JPROC.2006.888384

J. R. Moyne and D. M. Tilbury, The Emergence of Industrial Control Networks for Manufacturing Control, Diagnostics, and Safety Data, Proc. of IEEE, pp.29-47, 2007.
DOI : 10.1109/JPROC.2006.887325

S. Manolache, P. Eles, and Z. Peng, Memory and time-efficient schedulability analysis of task sets with stochastic execution time, Proceedings 13th Euromicro Conference on Real-Time Systems, pp.19-26, 2001.
DOI : 10.1109/EMRTS.2001.933991

G. Bernat, A. Colin, and S. M. Petters, WCET analysis of probabilistic hard real-time systems, 23rd IEEE Real-Time Systems Symposium, 2002. RTSS 2002., pp.279-288, 2002.
DOI : 10.1109/REAL.2002.1181582

J. L. Diaz, D. F. Garcia, K. Kim, C. Lee, L. L. Bello et al., Stochastic analysis of periodic real-time systems, 23rd IEEE Real-Time Systems Symposium, 2002. RTSS 2002., pp.289-300, 2002.
DOI : 10.1109/REAL.2002.1181583

D. Liu, X. S. Hu, M. D. Lemmon, and Q. Ling, Firm real-time system scheduling based on a novel QoS constraint, IEEE Transactions on Computers, vol.55, issue.3, pp.320-333, 2006.
DOI : 10.1109/TC.2006.41

K. Kim, J. L. Diaz, L. L. Bello, J. M. Lopez, C. Lee et al., An exact stochastic analysis of priority-driven periodic real-time systems and its approximations, IEEE Trans. on Computers, vol.54, issue.11, pp.1460-1466, 2005.

Q. Ling and M. D. Lemmon, Soft real-time scheduling of networked control systems with dropouts governed by a Markov chain, Proc. American Control Conf, pp.4-6, 2003.

T. Chantem, X. S. Hu, and M. Lemmon, Generalized Elastic Scheduling for Real-Time Tasks, IEEE Transactions on Computers, vol.58, issue.4, pp.480-495, 2009.
DOI : 10.1109/TC.2008.175

J. Nilsson and B. Bernhardsson, Analysis of real-time control systems with time delays, Proceedings of 35th IEEE Conference on Decision and Control, pp.3173-3178, 1996.
DOI : 10.1109/CDC.1996.573619

L. Greco, D. Fontanelli, and A. Bicchi, Design and Stability Analysis for Anytime Control via Stochastic Scheduling, IEEE Transactions on Automatic Control, vol.56, issue.3, pp.571-585, 2010.
DOI : 10.1109/TAC.2010.2058497
URL : https://hal.archives-ouvertes.fr/hal-00832199

A. Quagli, D. Fontanelli, L. Greco, L. Palopoli, and A. Bicchi, Design of Embedded Controllers Based on Anytime Computing, IEEE Transactions on Industrial Informatics, vol.6, issue.4, pp.492-502, 2010.
DOI : 10.1109/TII.2010.2055878
URL : https://hal.archives-ouvertes.fr/hal-00832201

D. Fontanelli, L. Greco, and L. Palopoli, Adaptive reservations for feedback control, 49th IEEE Conference on Decision and Control (CDC), pp.4236-4243, 2010.
DOI : 10.1109/CDC.2010.5717442
URL : https://hal.archives-ouvertes.fr/hal-00827511

D. Fontanelli, L. Palopoli, and L. Greco, Deterministic and Stochastic QoS Provision for Real-Time Control Systems, 2011 17th IEEE Real-Time and Embedded Technology and Applications Symposium, pp.103-112, 2011.
DOI : 10.1109/RTAS.2011.18
URL : https://hal.archives-ouvertes.fr/hal-00827522

D. E. Quevedo and V. Gupta, Sequence-Based Anytime Control, IEEE Transactions on Automatic Control, vol.58, issue.2, pp.377-390, 2013.
DOI : 10.1109/TAC.2012.2209977
URL : http://arxiv.org/abs/1308.1747

F. Kozin, A survey of stability of stochastic systems, Automatica, vol.5, issue.1, pp.95-112, 1969.
DOI : 10.1016/0005-1098(69)90060-0

H. J. Kushner, Stochastic stability and control, ser. Mathematics in science and engineering, 1967.

C. Kubrusly and O. L. Costa, Mean square stability conditions for discrete stochastic bilinear systems, IEEE Transactions on Automatic Control, vol.30, issue.11, pp.1082-1087, 1985.
DOI : 10.1109/TAC.1985.1103840

D. Chatterjee and D. Liberzon, Stabilizing Randomly Switched Systems, SIAM Journal on Control and Optimization, vol.49, issue.5, pp.2008-2031, 2011.
DOI : 10.1137/080726720

Y. F. Fang, K. A. Loparo, and X. Feng, Almost sure and ??moment stability of jump linear systems, International Journal of Control, vol.7, issue.5, pp.1281-1307, 1994.
DOI : 10.1137/0127049

Y. Fang and K. A. Loparo, Stochastic stability of jump linear systems, IEEE Transactions on Automatic Control, vol.47, issue.7, pp.1204-1208, 2002.
DOI : 10.1109/TAC.2002.800674

T. Morozan, Optimal stationary control for dynamic systems with Markov perturbations, Stochastic Analysis and Applications, vol.24, issue.1, pp.299-325, 1983.
DOI : 10.1080/07362998308809016

X. Feng, K. A. Loparo, Y. Ji, and H. J. Chizeck, Stochastic stability properties of jump linear systems, IEEE Transactions on Automatic Control, vol.37, issue.1, pp.38-53, 1992.
DOI : 10.1109/9.109637

Y. Fang and K. A. Loparo, Stabilization of continuous-time jump linear systems, IEEE Transactions on Automatic Control, vol.47, issue.10, pp.1590-1603, 2002.
DOI : 10.1109/TAC.2002.803528

E. D. Sontag, Smooth stabilization implies coprime factorization, IEEE Transactions on Automatic Control, vol.34, issue.4, pp.435-443, 1989.
DOI : 10.1109/9.28018

J. Tsinias, Stochastic input-to-state stability and applications to global feedback stabilization, International Journal of Control, vol.71, issue.5, pp.907-930, 1998.
DOI : 10.1080/002071798221632
URL : http://dspace.lib.ntua.gr/handle/123456789/12914

J. Spiliotis and J. Tsinias, Notions of exponential robust stochastic stability, ISS and their Lyapunov characterizations, International Journal of Robust and Nonlinear Control, vol.36, issue.2, pp.173-187, 2003.
DOI : 10.1002/rnc.724

P. Zhao, W. Feng, and Y. Kang, Stochastic input-to-state stability of switched stochastic nonlinear systems, Automatica, vol.48, issue.10, pp.2569-2576, 2012.
DOI : 10.1016/j.automatica.2012.06.058

D. Chatterjee and D. Liberzon, Towards ISS disturbance attenuation for randomly switched systems, 2007 46th IEEE Conference on Decision and Control, pp.5612-5617, 2007.
DOI : 10.1109/CDC.2007.4434163
URL : http://arxiv.org/abs/0711.3525

M. Tanelli, B. Picasso, P. Bolzern, and P. Colaneri, Almost Sure Stabilization of Uncertain Continuous-Time Markov Jump Linear Systems, IEEE Transactions on Automatic Control, vol.55, issue.1, pp.195-201, 2010.
DOI : 10.1109/TAC.2009.2033844

O. L. Costa, M. D. Fragoso, and R. P. Marques, Discrete-time Markov jump linear systems, 2005.
DOI : 10.1007/b138575

R. J. Elliott, L. Aggoun, and J. B. Moore, Hidden Markov Models: Estimation and Control, ser. Applications of mathematics, 1995.

L. Rabiner, A tutorial on hidden markov models and selected applications in speech recognition, Proceedings of the IEEE, pp.257-286, 1989.

W. Zucchini and I. Macdonald, Hidden Markov Models for Time Series: An Introduction Using R, ser. Chapman & Hall/CRC Monographs on Statistics & Applied Probability, 2009.
DOI : 10.1201/9781420010893

P. Dymarski and E. , Hidden Markov Models, Theory and Applications. InTech, 2011.

C. D. Meyer, Matrix Analysis and Applied Linear Algebra, 2000.
DOI : 10.1137/1.9780898719512

P. Bolzern, P. Colaneri, and G. Nicolao, Markov Jump Linear Systems with switching transition rates: Mean square stability with dwell-time, Automatica, vol.46, issue.6, pp.1081-1088, 2010.
DOI : 10.1016/j.automatica.2010.03.007

P. S. Rossi, G. Romano, F. Palmieri, and G. Iannello, Joint end-to-end loss-delay hidden Markov model for periodic UDP traffic over the Internet, IEEE Transactions on Signal Processing, vol.54, issue.2, pp.530-541, 2006.
DOI : 10.1109/TSP.2005.861066

F. Kozin, On relations between moment properties and almost sure Lyapunov stability for linear stochastic systems, Journal of Mathematical Analysis and Applications, vol.10, issue.2, pp.324-353, 1965.
DOI : 10.1016/0022-247X(65)90130-7
URL : http://doi.org/10.1016/0022-247x(65)90130-7

H. J. Kushner, ON THE STABILITY OF STOCHASTIC DYNAMICAL SYSTEMS, Proc. Nat. Acad. of Sciences USA, pp.8-12, 1965.
DOI : 10.1073/pnas.53.1.8

F. J. Beutler, On two discrete-time system stability concepts and supermartingales, Journal of Mathematical Analysis and Applications, vol.44, issue.2, pp.464-471, 1973.
DOI : 10.1016/0022-247X(73)90071-1

Y. Ji and H. J. Chizeck, Jump linear quadratic gaussian control: steadystate solution and testable conditions, Control Theory Adv. Technol, vol.6, issue.3, pp.289-318, 1990.

O. L. Costa and M. D. Fragoso, Stability Results for Discrete-Time Linear Systems with Markovian Jumping Parameters, Journal of Mathematical Analysis and Applications, vol.179, issue.1, pp.154-178, 1993.
DOI : 10.1006/jmaa.1993.1341
URL : http://doi.org/10.1006/jmaa.1993.1341

Y. Fang, A new general sufficient condition for almost sure stability of jump linear systems, IEEE Transactions on Automatic Control, vol.42, issue.3, pp.378-382, 1997.
DOI : 10.1109/9.557580

R. T. Bupp, D. S. Bernstein, and V. T. Coppola, A benchmark problem for nonlinear control design, International Journal of Robust and Nonlinear Control, vol.8, issue.4-5, pp.4-5, 1998.
DOI : 10.1002/(SICI)1099-1239(19980415/30)8:4/5<307::AID-RNC354>3.0.CO;2-7