Approximation in LQR problems for infinite dimensional systems with unbounded input operators, J. Math. Systems Estim. Control, vol.7, pp.1-34, 1997. ,
Well posedness for damped second order systems with unbounded input operators, Differential and Integral Equations, pp.587-606, 1995. ,
The Linear Regulator Problem for Parabolic Systems, SIAM Journal on Control and Optimization, vol.22, issue.5, pp.684-698, 1984. ,
DOI : 10.1137/0322043
Spectral Analysis of Stochastically Sampled Dynamic Systems, Mathematics of Control, Signals, and Systems, vol.14, issue.1, pp.86-107, 2001. ,
DOI : 10.1007/PL00009878
Optimal Sampled-data Control Systems, 1995. ,
DOI : 10.1007/978-1-4471-3037-6
Asymptotic controllability implies feedback stabilization, IEEE Transactions on Automatic Control, vol.42, issue.10, pp.42-1394, 1997. ,
DOI : 10.1109/9.633828
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.56.7617
Global Steady-State Controllability of One-Dimensional Semilinear Heat Equations, SIAM Journal on Control and Optimization, vol.43, issue.2, pp.549-569, 2004. ,
DOI : 10.1137/S036301290342471X
GLOBAL STEADY-STATE STABILIZATION AND CONTROLLABILITY OF 1D SEMILINEAR WAVE EQUATIONS, Communications in Contemporary Mathematics, vol.08, issue.04, pp.535-567, 2006. ,
DOI : 10.1142/S0219199706002209
URL : https://hal.archives-ouvertes.fr/hal-00086370
Absolute stability and integral control for infinite-dimensional discrete-time systems, Nonlinear Analysis: Theory, Methods & Applications, vol.71, issue.10, pp.4769-4789, 2009. ,
DOI : 10.1016/j.na.2009.03.072
???ber die partiellen Differenzengleichungen der mathematischen Physik, Mathematische Annalen, vol.98, issue.6, pp.32-74, 1928. ,
DOI : 10.1007/BF01448839
An Introduction To Infinite-Dimensional Linear Systems Theory, 1995. ,
DOI : 10.1007/978-1-4612-4224-6
Uniformly exponentially stable approximations for a class of damped systems, Journal de Math??matiques Pures et Appliqu??es, vol.91, issue.1, pp.20-48, 2009. ,
DOI : 10.1016/j.matpur.2008.09.002
URL : https://hal.archives-ouvertes.fr/hal-00681693
The Riccati Integral Equations for Optimal Control Problems on Hilbert Spaces, SIAM Journal on Control and Optimization, vol.17, issue.4, pp.537-565, 1979. ,
DOI : 10.1137/0317039
Numerical Approximation for the Infinite-Dimensional Discrete-Time Optimal Linear-Quadratic Regulator Problem, SIAM Journal on Control and Optimization, vol.26, issue.2, pp.428-451, 1988. ,
DOI : 10.1137/0326025
Sampled-data H? control of linear parabolic systems with unbounded output operators , Transactions of the Society of Instrument and Control Engineers, pp.915-924, 2004. ,
An Approximation Theorem for the Algebraic Riccati Equation, SIAM Journal on Control and Optimization, vol.28, issue.5, pp.1136-1147, 1990. ,
DOI : 10.1137/0328061
A sampled-data servomechanism for stable well-posed systems, IEEE Trans. Automatic Control, vol.54, pp.1123-1128, 2009. ,
Adaptive sampled-data integral control of stable infinite-dimensional linear systems, Systems & Control Letters, vol.58, issue.4, pp.233-240, 2009. ,
DOI : 10.1016/j.sysconle.2008.10.015
Exact Controllability and Stabilizations, the Multiplier Method, 1994. ,
Introductory Function Analysis with Applications, 1989. ,
Uniform controllability of semidiscrete approximations of parabolic control systems, Systems & Control Letters, vol.55, issue.7, pp.597-609, 2006. ,
DOI : 10.1016/j.sysconle.2006.01.004
Stabilization and Structural Assignment of Dirichlet Boundary Feedback Parabolic Equations, SIAM Journal on Control and Optimization, vol.21, issue.5, pp.766-803, 1983. ,
DOI : 10.1137/0321047
Control Theory for Partial Differential Equations: Continous and Approximation Theories. I. Abstract Parabolic Systems, of Encyclopedia of Methematics and its Applications, 2000. ,
Survey of the stability of linear finite difference equations, Communications on Pure and Applied Mathematics, vol.5, issue.2, pp.267-293, 1956. ,
DOI : 10.1002/cpa.3160090206
Exact Controllability, Stabilization and Perturbations for Distributed Systems, SIAM Review, vol.30, issue.1, pp.1-68, 1988. ,
DOI : 10.1137/1030001
Semigroups associated with dissipative systems, Research Notes in Mathematics, 1999. ,
Stability of infinite dimensional sampleddata systems, Trans, pp.301-328, 2003. ,
Generalized Sampled-Data Stabilization of Well-Posed Linear Infinite-Dimensional Systems, SIAM Journal on Control and Optimization, vol.44, issue.4, pp.1345-1369, 2005. ,
DOI : 10.1137/S0363012903434340
Sampled-data control of nonlinear systems: an overview of recent results, Perspectives in Robust Control, pp.259-270, 2001. ,
Kokotovic Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations, Systems and Control Letters, pp.259-270, 1999. ,
Semigroups of Linear Operator and Applications to Partial Differential Equations, 1983. ,
DOI : 10.1007/978-1-4612-5561-1
Tucsnak Uniformly exponentially stable approximations for a class of second order evolution equations. application to LQR optimization problems, ESAIM -Optimisation and Calculus of Variations 13, pp.503-527, 2007. ,
Generalized sampled data feedback control of distributed parameter systems, Systems & Control Letters, vol.34, issue.5, pp.229-240, 1998. ,
DOI : 10.1016/S0167-6911(98)00011-5
Robustness of distributed parameter systems with respect to sample and hold?counterexamples, Proceedings of the 2000 IEEE Conference on Decision and Control, 2000. ,
Necessary conditions for exact controllability with a finite-dimensional input space, Systems & Control Letters, vol.40, issue.3, pp.217-227, 2000. ,
DOI : 10.1016/S0167-6911(00)00029-3
On stabilizability and sampling for infinite dimensional systems, IEEE Transactions on Automatic Control, vol.37, issue.10, pp.1653-1656, 1992. ,
DOI : 10.1109/9.256405
Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions, SIAM Review, vol.20, issue.4, pp.639-739, 1978. ,
DOI : 10.1137/1020095
Remarks on continuous feedback, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes, pp.916-921, 1980. ,
DOI : 10.1109/CDC.1980.271934
A TRAJECTORY BASED APPROACH FOR ROBUST STABILITY PROPERTIES OF INFINITE-DIMENSIONAL SYSTEMS, Proc. 7 th IFAC Symposium on Nonlinear Control Systems, 2007. ,
DOI : 10.3182/20070822-3-ZA-2920.00019
Uniform exponential long time decay for the space semidiscretization of a locally damped wave equation via an artificial numerical viscosity, Numer. Math, pp.95-563, 2003. ,
Uniform boundary stabilization of the finite difference space discretization of the 1???d wave equation, Advances in Computational Mathematics, vol.78, issue.2, pp.337-365, 2007. ,
DOI : 10.1007/s10444-004-7629-9
Time discrete wave equations: Boundary observability and control, Discrete and Continuous Dynamical Systems, pp.571-604, 2009. ,
Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods, SIAM Review, vol.47, issue.2, pp.197-243, 2005. ,
DOI : 10.1137/S0036144503432862
Control and numerical approximation of the wave and heat equations, Proceedings of Internat. Congress Math, pp.1389-1417, 2006. ,
DOI : 10.4171/022-3/67