O. Boxma, H. Kaspi, O. Kella, and D. Perry, ON/OFF STORAGE SYSTEMS WITH STATE-DEPENDENT INPUT, OUTPUT, AND SWITCHING RATES, Probability in the Engineering and Informational Sciences, vol.1, issue.01, pp.1-14, 2005.
DOI : 10.2307/1427522
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.556.6718

X. Cao and H. Chen, Perturbation realization, potentials, and sensitivity analysis of Markov processes, IEEE Trans Automat Contr, vol.42, issue.10, pp.1382-1393, 1997.

H. Cartan, P. Hermann, J. Chiquet, and N. Limnios, A method to compute the transition function of a piecewise deterministic Markov process with application to reliability, Stat Probab Lett, vol.78, pp.1397-1403, 1967.

C. Cocozza-thivent, R. Eymard, and S. Mercier, A finite-volume scheme for dynamic reliability models, IMA Journal of Numerical Analysis, vol.26, issue.3, pp.446-471, 2006.
DOI : 10.1093/imanum/drl001
URL : https://hal.archives-ouvertes.fr/hal-00693102

C. Cocozza-thivent, R. Eymard, S. Mercier, and M. Roussignol, Characterization of the marginal distributions of Markov processes used in dynamic reliability, Journal of Applied Mathematics and Stochastic Analysis, vol.4, issue.2, pp.1-18, 2006.
DOI : 10.1214/aop/1176996130

O. Costa and F. Dufour, Stability of piecewise-deterministic Markov processes, SIAM J Control Optim, vol.37, issue.5, pp.1483-1502, 1999.
URL : https://hal.archives-ouvertes.fr/hal-00268162

O. Costa and F. Dufour, On the Poisson Equation for Piecewise-Deterministic Markov Processes, SIAM Journal on Control and Optimization, vol.42, issue.3, pp.985-1001, 2003.
DOI : 10.1137/S0363012901393523

M. Davis, Piecewise-deterministic Markov processes, J R Stat Soc Ser B, vol.46, issue.3, pp.353-388, 1984.
DOI : 10.1007/978-1-4899-4483-2_2

M. Davis, Markov models and optimization, monographs on statistics and applied probability Exponential and uniform ergodicity of Markov processes, Ann Probab, vol.49, issue.234, pp.1671-1691, 1993.

R. Eymard, S. Mercier, and A. Prignet, An implicit finite volume scheme for a scalar hyperbolic problem with measure data related to piecewise deterministic Markov processes, Journal of Computational and Applied Mathematics, vol.222, issue.2, pp.293-323, 2007.
DOI : 10.1016/j.cam.2007.10.053
URL : https://hal.archives-ouvertes.fr/hal-00693134

A. Gandini, Importance and sensitivity analysis in assessing system reliability, IEEE Transactions on Reliability, vol.39, issue.1, pp.61-70, 1990.
DOI : 10.1109/24.52613

T. Konstantopoulos and G. Last, On the use of Lyapunov function methods in renewal theory, Stochastic Processes and their Applications, vol.79, issue.1, pp.165-178, 1999.
DOI : 10.1016/S0304-4149(98)00068-4

J. Lions, Contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles, 1968.

S. Mercier, Discrete random bounds for general random variables and applications to reliability, European Journal of Operational Research, vol.177, issue.1, pp.378-405, 2007.
DOI : 10.1016/j.ejor.2005.09.043
URL : https://hal.archives-ouvertes.fr/hal-00693092

S. Mercier, M. Roussignol, T. Bedford, J. Quigley, L. Walls et al., Sensitivity estimates in dynamic reliability Advances in mathematical modeling for reliability. IOS, pp.208-216, 2008.

S. Meyn and R. Tweedie, Stability of Markovian processes II: continuous-time processes and sampled chains, Advances in Applied Probability, vol.VII, issue.03, pp.487-517, 1993.
DOI : 10.2307/1425932

S. Meyn and R. Tweedie, Stability of Markovian processes. III. Foster-Lyapunov criteria for continuous-time processes, Adv Appl Probab, vol.25, issue.3, pp.518-548, 1993.