A. Antoulas and A. , Approximation of Large-Scale Dynamical Systems, 2005.
DOI : 10.1137/1.9780898718713

P. Antsaklis and J. Baillieul, Special Issue on Technology of Networked Control Systems, Proceedings of the IEEE, vol.95, issue.1, 2007.
DOI : 10.1109/JPROC.2006.887291

Y. Anzai, A note on reachability of discrete-time quantized conrol systems, IEEE Transactions on Automatic Control, vol.19, issue.5, pp.575-577, 1974.
DOI : 10.1109/TAC.1974.1100649

. Årzén, On the design and control of wireless networked embedded systems, Proc. of IEEE Computer Aided Control Systems Design Symposium, 2006.

. Årzén, An introduction to control and real-time scheduling co-design, Proceedings of the 39th IEEE Conference on Decision and Control, 2000.

W. Åström, K. Åström, and B. Wittenmark, Computer- Controlled Systems : Theory and Design, 3ed, 1997.

J. Baillieul, Feedback designs for controlling device arrays with communication channel bandwidth constraints, Proceedings of ARO Workshop on Smart Structures, 1999.

J. Baillieul, Feedback Designs in Information-Based Control, Proc. of a Workshop Held in Lawrence, Kansas, Stochastic Theory and Control, pp.35-57, 2001.
DOI : 10.1007/3-540-48022-6_3

[. Gaid and M. , Optimal Scheduling and Control for Distributed Realtime Systems, 2006.

B. Gaid, Ç. Gaid, M. Çela, and A. , Trading quantization precision for sampling rates in networked systems with limited communication, Proceedings of the 45th IEEE Conference on Decision & Control, 2006.

[. Gaid, Optimal integrated control and scheduling of networked control systems with communication Bibliography constraints : Application to a car suspension system, IEEE Transactions on Control Systems Technology, vol.14, issue.4, 2006.

[. Gaid, Optimal scheduling of control tasks with state feedback resource allocation, Proceedings of the 2006 American Control Conference, 2006.
URL : https://hal.archives-ouvertes.fr/inria-00364947

D. Bertsekas, Dynamic Programming and Optimal Control, 2000.

. Bicchi, On the reachability of quantized control systems, IEEE Transactions on Automatic Control, vol.47, issue.4, pp.546-563, 2002.
DOI : 10.1109/9.995034

. Bittanti, The Riccati Equation, chapter The periodic Riccati Equation, 1991.

H. Bode, Network Analysis and Feedback Amplifier Design, 1945.

. Borkar, . Mitter, V. Borkar, and S. Mitter, LQG Control with Communication Constraints, Communications, Computation, Control and Signal Processing, pp.365-373, 1997.
DOI : 10.1007/978-1-4615-6281-8_21

. Branicky, Stability of networked control systems: explicit analysis of delay, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000.
DOI : 10.1109/ACC.2000.878601

R. Brockett, Minimum attention control, Proceedings of the 36th IEEE Conference on Decision and Control, 1997.
DOI : 10.1109/CDC.1997.657776

. Brockett, . Liberzon, R. Brockett, and D. Liberzon, Quantized feedback stabilization of linear systems, IEEE Transactions on Automatic Control, vol.45, issue.7, pp.1279-1289, 2000.
DOI : 10.1109/9.867021

R. W. Brockett, Finite Dimensional Linear Systems, 1970.
DOI : 10.1137/1.9781611973884

. Çela, Degree of reachability / observability as a metric for optimal integrated control and scheduling of networked control systems, submitted to the IFAC Symposium on System, Structure and Control, 2010.

. Cervin, Feedback-feedforward scheduling of control tasks, Real-Time Systems, vol.23, issue.1/2, pp.25-53, 2002.
DOI : 10.1023/A:1015394302429

R. Conant, Laws of information which govern systems, IEEE Trans. on Syst., Man, Cybern, vol.6, pp.240-255, 1976.

R. Curry, Estimation and Control With Quantized Measurements, 1970.

D. Delchamps, Extracting state information from a quantized output record, Systems & Control Letters, vol.13, issue.5, pp.365-372, 1989.
DOI : 10.1016/0167-6911(89)90102-3

D. Delchamps, Stabilizing a linear system with quantized state feedback, IEEE Transactions on Automatic Control, vol.35, issue.8, pp.916-924, 1990.
DOI : 10.1109/9.58500

J. Delvenne, An Optimal Quantized Feedback Strategy for Scalar Linear Systems, IEEE Transactions on Automatic Control, vol.51, issue.2, pp.298-303, 2006.
DOI : 10.1109/TAC.2005.863526

H. Egerstedt and X. Hu, A hybrid control approach to action coordination for mobile robots, Automatica, vol.38, issue.1, pp.125-130, 2002.
DOI : 10.1016/S0005-1098(01)00185-6

N. Elia, Design of hybrid systems with guaranteed performance, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2000.
DOI : 10.1109/CDC.2000.912903

N. Elia, Coarsest quantizer density for quadratic stabilization of twoinput linear systems, Proceedings of the 10th Mediterranean Conference on Control and Automation, 2002.

N. Elia, When Bode Meets Shannon: Control-Oriented Feedback Communication Schemes, IEEE Transactions on Automatic Control, vol.49, issue.9, p.49, 2004.
DOI : 10.1109/TAC.2004.834119

E. , M. Elia, N. Mitter, and S. , Stabilization of linear systems with limited information, IEEE Transactions on Automatic Control, vol.46, issue.9, pp.1384-1400, 2001.

F. Fagnani, Chaotic Quantized Feedback Stabilizers: The Scalar Case, Communications in Information and Systems, vol.4, issue.1, pp.53-72, 2004.
DOI : 10.4310/CIS.2004.v4.n1.a3

. Fagnani, . Zampieri, F. Fagnani, and S. Zampieri, Stability analysis and synthesis for scalar linear systems with a quantized feedback, IEEE Transactions on Automatic Control, vol.48, issue.9, pp.481569-1584, 2003.
DOI : 10.1109/TAC.2003.816982

Z. Fagnani, F. Fagnani, and S. Zampieri, Quantized Stabilization of Linear Systems: Complexity Versus Performance, IEEE Transactions on Automatic Control, vol.49, issue.9, pp.1534-1548, 2004.
DOI : 10.1109/TAC.2004.834111

. Fagnani, . Zampieri, F. Fagnani, and S. Zampieri, A Symbolic Approach to Performance Analysis of Quantized Feedback Systems: The Scalar Case, SIAM Journal on Control and Optimization, vol.44, issue.3, pp.816-866, 2005.
DOI : 10.1137/S0363012903434315

N. Fernando, K. Fernando, and H. Nicholson, Degree of controllability due to individual inputs, Electronics Letters, vol.17, issue.9, 1981.
DOI : 10.1049/el:19810232

. Freudenberg, Stabilization with disturbance attenuation over a gaussian channel, Proceedings of the 46th IEEE Conference on Decision and Control, 2007.

D. Georges, The use of observability and controllability gramians or functions for optimal sensor and actuator location in finite-dimensional systems, Proceedings of 1995 34th IEEE Conference on Decision and Control, 1995.
DOI : 10.1109/CDC.1995.478999

. Gish, . Pierce, H. Gish, and J. Pierce, Asymptotically efficient quantizing, IEEE Transactions on Information Theory, vol.14, issue.5, pp.676-683, 1968.
DOI : 10.1109/TIT.1968.1054193

. Goodwin, Constrained Control and Estimation : An Optimization Approach, 2005.
DOI : 10.1007/b138145

. Guo, Mutual Information and Minimum Mean-Square Error in Gaussian Channels, IEEE Transactions on Information Theory, vol.51, issue.4, 2005.
DOI : 10.1109/TIT.2005.844072

. Gupta, On the effect of quantization on performance at high rates, 2006 American Control Conference, 2006.
DOI : 10.1109/ACC.2006.1656407

S. Haykin, Communication Systems, 4ed, 2001.

. Hespanha, A Survey of Recent Results in Networked Control Systems, Proc. of the IEEE, pp.138-162, 2007.
DOI : 10.1109/JPROC.2006.887288

D. Hristu, Optimal control with limited communication, 1999.

D. Hristu, On the period of communication policies for networked control systems, and the question of zero-order holding, Proceedings of the 46st IEEE Conference on Decision and Control, 2007.

. Iglesias, Discrete time ??? controllers satisfying a minimum entropy criterion, Systems & Control Letters, vol.14, issue.4, pp.275-286, 1990.
DOI : 10.1016/0167-6911(90)90048-Y

P. Iglesias, Trade-offs in linear time-varying systems : An analogue of Bode's sensitivity integral, Automatica, issue.10, pp.371541-1550, 2001.

P. Iglesias, Logarithmic integrals and system dynamics: an analogue of Bode's sensitivity integral for continuous-time, time-varying systems, Linear Algebra and its Applications, vol.343, issue.344, pp.343-344451, 2002.
DOI : 10.1016/S0024-3795(01)00360-3

C. Ionete and A. Çela, Structural properties and stabilization of NCS with medium access constraints, 2006.

E. Jaynes, Information Theory and Statistical Mechanics, Physical Review, vol.106, issue.4, 1957.
DOI : 10.1103/PhysRev.106.620

R. Kalman, On the general theory of control systems, Proc. of the First International Congress on Automatic Control, 1960.
DOI : 10.1109/TAC.1959.1104873

. Kalman, Controllability of linear dynamical systems, Contributions to Differential Equations, vol.1, issue.2, pp.189-213, 1963.

. Lee, QoS-Based Remote Control of Networked Control Systems Via Profibus Token Passing Protocol, IEEE Transactions on Industrial Informatics, vol.1, issue.3, pp.183-191, 2005.
DOI : 10.1109/TII.2005.852064

D. Liberzon, On stabilization of linear systems with limited information, IEEE Transactions on Automatic Control, vol.48, issue.2, pp.304-307, 2003.
DOI : 10.1109/TAC.2002.808487

. Liou, . Ray, L. Liou, and A. Ray, A Stochastic Regulator for Integrated Communication and Control Systems: Part I???Formulation of Control Law, Journal of Dynamic Systems, Measurement, and Control, vol.113, issue.4, pp.604-611, 1991.
DOI : 10.1115/1.2896464

. Liou, . Ray, L. Liou, and A. Ray, A Stochastic Regulator for Integrated Communication and Control Systems: Part II???Numerical Analysis and Simulation, Journal of Dynamic Systems, Measurement, and Control, vol.113, issue.4, pp.612-619, 1991.
DOI : 10.1115/1.2896465

E. Liu, J. Liu, and N. Elia, Quantized feedback stabilization of non-linear affine systems, International Journal of Control, vol.2289, issue.3, pp.239-249, 2004.
DOI : 10.1109/9.763226

E. Liu, J. Liu, and N. Elia, Convergence of Fundamental Limitations in Information, Estimation, and Control, Proceedings of the 45th IEEE Conference on Decision and Control, 2006.
DOI : 10.1109/CDC.2006.377694

S. Lloyd, Black Holes, Demons and the Loss of Coherence : How complex systems get information and what they do with it, 1988.

. Luck, . Ray, R. Luck, and A. Ray, An observer-based compensator for distributed delays, Automatica, vol.26, issue.5, pp.903-908, 1990.
DOI : 10.1016/0005-1098(90)90007-5

. Martí, Managing Quality-of-Control in Network-Based Control Systems by Controller and Message Scheduling Co-Design, IEEE Transactions on Industrial Electronics, vol.51, issue.6, pp.511159-1167, 2004.
DOI : 10.1109/TIE.2004.837873

. Martins, Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information, IEEE Transactions on Automatic Control, vol.52, issue.1, pp.56-66, 2007.
DOI : 10.1109/TAC.2006.887898

D. Martins, N. Martins, and M. Daleh, Fundamental limitations of performance in the presence of finite capacity feedback, Proceedings of the 2005, American Control Conference, 2005., 2005.
DOI : 10.1109/ACC.2005.1469912

D. Martins, N. Martins, and M. Daleh, Feedback Control in the Presence of Noisy Channels: “Bode-Like” Fundamental Limitations of Performance, IEEE Transactions on Automatic Control, vol.53, issue.7, 2008.
DOI : 10.1109/TAC.2008.929361

J. Massey, Causality, feedback and directed information, Proceedings of the International Symposium on Information Theory and its Applications, 1990.

S. Matveev, A. Matveev, and A. Savkin, The problem of LQG optimal control via a limited capacity communication channel, Systems & Control Letters, vol.53, issue.1, pp.51-64, 2004.
DOI : 10.1016/j.sysconle.2004.02.021

. Mehta, Markov chains, entropy , and fundamental limitations in nonlinear stabilization, Proc. of the 45th IEEE Conference on Decision & Control, 2006.

D. Middleton, An Introduction to Statistical Communication Theory, 1960.

. Minero, Data Rate Theorem for Stabilization Over Time-Varying Feedback Channels, IEEE Transactions on Automatic Control, vol.54, issue.2, pp.243-255, 2009.
DOI : 10.1109/TAC.2008.2010887

D. Mitra, W-matrix and the geometry of model equivalence and reduction, Proc. of the IEE, pp.1101-1106, 1969.

S. Mitter, Control with Limited Information, Proc. of International Symposium on Information Theory, 2000.
DOI : 10.3166/ejc.7.122-131

N. Mitter, S. Mitter, and N. Newton, Information and Entropy Flow in the Kalman?Bucy Filter, Journal of Statistical Physics, vol.45, issue.1-2, pp.145-176, 2005.
DOI : 10.1007/s10955-004-8781-9

A. Montestruque, L. Montestruque, and P. Antsaklis, State and output feedback control in model-based networked control systems, Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2002.
DOI : 10.1109/CDC.2002.1184751

L. Montestruque and P. Antsaklis, On the model-based control of networked systems, Automatica, vol.39, issue.10, pp.391837-1843, 2003.
DOI : 10.1016/S0005-1098(03)00186-9

L. Montestruque and P. Antsaklis, Stability of model based network control systems with time varying transmission times, IEEE Trans. on Automatic Control, issue.9, p.49, 2004.

B. Moore, Principal component analysis in linear systems: Controllability, observability, and model reduction, IEEE Transaction on Automatic Control, p.26, 1981.
DOI : 10.1109/TAC.1981.1102568

. Murray, Feature - Future directions in control in an information-rich word, IEEE Control Systems Magazine, vol.23, issue.2, pp.20-33, 2003.
DOI : 10.1109/MCS.2003.1188769

G. Mustafa, D. Mustafa, and K. Glover, Minimum Entropy H ? Control, Lecture Notes in Control Information Sciences, vol.146, 1990.
DOI : 10.1007/BFb0008861

. Nair, Infimum data rates for stabilising Markov jump linear systems, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)
DOI : 10.1109/CDC.2003.1272767

E. Nair, G. Nair, and R. Evans, Communication-limited stabilization of linear systems, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2000.
DOI : 10.1109/CDC.2000.912906

G. Nair and R. Evans, Exponential stabilisability of finite-dimensional linear systems with limited data rates, Automatica, vol.39, issue.4, pp.585-593, 2003.
DOI : 10.1016/S0005-1098(02)00285-6

E. Nair, G. Nair, and R. Evans, Stabilizability of Stochastic Linear Systems with Finite Feedback Data Rates, SIAM Journal on Control and Optimization, vol.43, issue.2, pp.413-436, 2004.
DOI : 10.1137/S0363012902402116

. Nair, Topological Feedback Entropy and Nonlinear Stabilization, IEEE Transactions on Automatic Control, vol.49, issue.9, pp.491585-1597, 2004.
DOI : 10.1109/TAC.2004.834105

. Nair, Feedback Control Under Data Rate Constraints: An Overview, Proceedings of the IEEE, vol.95, issue.1, pp.95108-137, 2007.
DOI : 10.1109/JPROC.2006.887294

URL : http://minerva-access.unimelb.edu.au/bitstream/11343/29334/1/278042_87751.pdf

J. Nilsson, Real-Time Control Systems with Delays, 1998.

. Okano, Characterization of a complementary sensitivity property in feedback control: An information theoretic approach, Proc. of the 17th IFAC-World Congress, 2008.

S. Petersen, I. Petersen, and A. Savkin, Multi-rate stabilization of multivariable discrete-time linear systems via a limited capacity communication channel, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), pp.304-309, 2001.
DOI : 10.1109/CDC.2001.980117

. Phat, Robust stabilization of linear uncertain discrete-time systems via a limited capacity communication channel, Systems & Control Letters, vol.53, issue.5, pp.53347-360, 2004.
DOI : 10.1016/j.sysconle.2004.05.010

. Picasso, Construction of invariant and attractive sets for quantized-input linear systems, Proceedings of the 41st IEEE Conference on Decision and Control, 2002., pp.824-829, 2002.
DOI : 10.1109/CDC.2002.1184607

. Plastino, Fisher's information, Kullback's measure, and H-theorems, Physics Letters A, vol.246, issue.6, pp.24498-504, 1998.
DOI : 10.1016/S0375-9601(98)00567-2

C. Qiu, L. Qiu, and T. Chen, Multirate sampled-data systems : all H ? suboptimal controllers and the minimum entropy controller, IEEE Transactions on Automatic Control, vol.44, issue.3, pp.537-550, 1999.

C. Rao, Linear Statistical Inference and its Applications, 1965.
DOI : 10.1002/9780470316436

A. Renyi, On the dimension and entropy of probability distributions, Acta Mathematica Academiae Scientiarum Hungaricae, vol.108, issue.1-2, pp.193-215, 1959.
DOI : 10.1007/BF02063299

R. , Ç. Roy, P. Çela, and A. , A survey on control under communication constraints, Proc. of the 6th International RoEduNet Conference, 2007.

W. J. Rugh, Linear System Theory, 1996.

A. Sahai, Anytime Information Theory, 2001.

B. Sandberg, H. Sandberg, and B. Bernhardsson, A Bode sensitivity integral for linear time-periodic systems, IEEE Transactions on Automatic Control, issue.12, p.50, 2005.

G. Saridis, Entropy formulation of optimal and adaptive control, IEEE Transactions on Automatic Control, vol.33, issue.8, p.33, 1988.
DOI : 10.1109/9.1287

A. Savkin, Analysis and synthesis of networked control systems: Topological entropy, observability, robustness and optimal control, Automatica, vol.42, issue.1, pp.51-62, 2006.
DOI : 10.1016/j.automatica.2005.08.021

. Seron, Fundamental Limitations in Filtering and Control, 1997.
DOI : 10.1007/978-1-4471-0965-5

C. Shannon, A Mathematical Theory of Communication, Bell System Technical Journal, vol.27, issue.3, pp.379-423623, 1948.
DOI : 10.1002/j.1538-7305.1948.tb01338.x

. Skelton, A Unified Algebraic Approach to Linear Control Design, 1998.

E. Sontag, Mathematical Control Theory, 1990.
DOI : 10.1007/978-1-4684-0374-9

A. Stam, Some inequalities satisfied by the quantities of information of Fisher and Shannon, Information and Control, vol.2, issue.2, pp.101-112, 1959.
DOI : 10.1016/S0019-9958(59)90348-1

S. Tatikonda, Control Under Communication Constraints, IEEE Transactions on Automatic Control, vol.49, issue.7, 2000.
DOI : 10.1109/TAC.2004.831187

M. Tatikonda, S. Tatikonda, and S. Mitter, Control Under Communication Constraints, IEEE Transactions on Automatic Control, vol.49, issue.7, pp.491056-1068, 2004.
DOI : 10.1109/TAC.2004.831187

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.320.4348

. Tatikonda, Stochastic Linear Control Over a Communication Channel, IEEE Transactions on Automatic Control, vol.49, issue.9, pp.1549-1561, 2004.
DOI : 10.1109/TAC.2004.834430

M. Tsumura, K. Tsumura, and J. Maciejowski, Stability of SISO control systems under constraints of channel capacities, Proc. 42nd IEEE Conference on Decision & Control, 2003.

H. Water and J. Willems, The certainty equivalence property in stochastic control theory, IEEE Transactions on Automatic Control, vol.26, issue.5, pp.1080-1087, 1981.
DOI : 10.1109/TAC.1981.1102781

H. Witsenhausen, Separation of estimation and control for discrete time systems, Proceedings of the IEEE, vol.59, issue.11, pp.1557-1566, 1971.
DOI : 10.1109/PROC.1971.8488

B. Wong, W. Wong, and R. Brockett, Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedback, IEEE Transactions on Automatic Control, vol.44, issue.5, pp.1049-1053, 1999.
DOI : 10.1109/9.763226

J. Wu, B. Wu, and E. Jonckheere, A simplified approach to Bode's theorem for continuous-time and discrete-time systems, IEEE Transactions on Automatic Control, vol.37, issue.11, p.37, 1992.
DOI : 10.1109/9.173154

S. Yüksel and T. Ba¸sarba¸sar, Minimum Rate Coding for LTI Systems Over Noiseless Channels, IEEE Transactions on Automatic Control, vol.51, issue.12, pp.511878-1887, 2006.
DOI : 10.1109/TAC.2006.886491

P. Zador, Topics in the asymptotic quantization of continuous random variables, 1966.

G. Zang and P. Iglesias, Nonlinear extension of Bode's integral based on an information-theoretic interpretation, Systems & Control Letters, vol.50, issue.1, pp.11-29, 2003.
DOI : 10.1016/S0167-6911(03)00119-1

L. Zhang, C. Zhang, and X. Liu, Trade-off between the sampling rate and the data accuracy, Proc. of American Control Conference, 2008.

H. Zhang and Y. Sun, Information theoretic limit and bound of disturbance rejection in LTI systems: Shannon entropy and H/sub ?/ entropy, SMC'03 Conference Proceedings. 2003 IEEE International Conference on Systems, Man and Cybernetics. Conference Theme, System Security and Assurance (Cat. No.03CH37483), pp.1378-1383, 2003.
DOI : 10.1109/ICSMC.2003.1244604

L. Zhang and D. Hristu-varsakelis, Communication and control co-design for networked control systems, Automatica, vol.42, issue.6, pp.953-958, 2006.
DOI : 10.1016/j.automatica.2006.01.022

K. Zhou, Essentials of Robust Control, 1998.