S. Chakroborty, I. Goussakov, M. B. Miller, and G. E. Stutzmann, Deviant Ryanodine Receptor-Mediated Calcium Release Resets Synaptic Homeostasis in Presymptomatic 3xTg-AD Mice, Journal of Neuroscience, vol.29, issue.30, pp.9458-9470, 2009.
DOI : 10.1523/JNEUROSCI.2047-09.2009

G. W. Davis, HOMEOSTATIC CONTROL OF NEURAL ACTIVITY: From Phenomenology to Molecular Design, Annual Review of Neuroscience, vol.29, issue.1, pp.307-323, 2006.
DOI : 10.1146/annurev.neuro.28.061604.135751

P. Dayan and L. F. Abbott, Theoretical Neuroscience, 2002.

N. S. Desai, L. C. Rutherford, and G. G. Turrigiano, Plasticity in the intrinsic electrical properties of cortical pyramidal neurons, Nat. Neuro, vol.2, pp.515-520, 1999.

J. J. Distefano, A. J. Stubberud, and I. J. Williams, Schaum's Outline of Feedback and control Systems, 1997.

F. Fröhlich, M. Bazhenov, and T. J. Sejnowski, Pathological Effect of Homeostatic Synaptic Scaling on Network Dynamics in Diseases of the Cortex, Journal of Neuroscience, vol.28, issue.7, pp.1709-1720, 2008.
DOI : 10.1523/JNEUROSCI.4263-07.2008

K. Fujii and K. Shoji, Verification of the Aizerman and/or Kalman conjecture, IEEE Transactions on Automatic Control, vol.17, issue.3, pp.406-408, 1972.
DOI : 10.1109/TAC.1972.1099973

A. Gal, D. Eytan, A. Wallach, M. Sandler, J. Schiller et al., Dynamics of Excitability over Extended Timescales in Cultured Cortical Neurons, Journal of Neuroscience, vol.30, issue.48, pp.16332-16342, 2010.
DOI : 10.1523/JNEUROSCI.4859-10.2010

J. I. Gold and M. N. Shadlen, The Neural Basis of Decision Making, Annual Review of Neuroscience, vol.30, issue.1, pp.535-574, 2007.
DOI : 10.1146/annurev.neuro.29.051605.113038

M. S. Goldman, C. A. , and X. Wang, Neural Integrator Models, Encyclopedia of Neuroscience, pp.165-178, 2009.
DOI : 10.1016/B978-008045046-9.01434-0

M. S. Grubb and J. Burrone, Activity-dependent relocation of the axon initial segment fine-tunes neuronal excitability, Nature, vol.9, issue.7301, pp.1070-1074, 2010.
DOI : 10.1038/nature09160

D. Horn, N. Levy, and E. Ruppin, Neuronal-Based Synaptic Compensation: A Computational Study in Alzheimer's Disease, Neural Computation, vol.8, issue.6, pp.1227-1243, 1996.
DOI : 10.1162/neco.1996.8.6.1227

M. K. Janowitz and M. C. Rossum, Excitability changes that complement Hebbian learning, Network: Computation in Neural Systems, vol.20, issue.1, pp.31-41, 2006.
DOI : 10.1038/nrn1248

U. R. Karmarkar and D. V. Buonomano, Different forms of homeostatic plasticity are engaged with distinct temporal profiles, European Journal of Neuroscience, vol.284, issue.6, pp.1575-1584, 2006.
DOI : 10.1111/j.1460-9568.2006.04692.x

H. K. Khalil, Nonlinear systems, 2002.

H. Kuba, Y. Oichi, and H. Ohmori, Presynaptic activity regulates Na+ channel distribution at the axon initial segment, Nature, vol.277, issue.7301, pp.1075-1078, 2010.
DOI : 10.1038/nature09087

S. B. Laughlin, A simple coding procedure enhances a neuron's information capacity, Zeitschrift für Naturforschung, vol.36, pp.910-912, 1981.

A. Lazar, G. Pipa, and J. Triesch, SORN: a self-organizing recurrent neural network, Front Comput Neurosci, vol.3, p.23, 2009.

J. J. Leigh, Control theory: A Guided Tour, 2004.
DOI : 10.1049/PBCE072E

J. Naudé, H. Cessac, B. Berry, and . Delord, Effects of Cellular Homeostatic Intrinsic Plasticity on Dynamical and Computational Properties of Biological Recurrent Neural Networks, Journal of Neuroscience, vol.33, issue.38, pp.15032-15043, 2013.
DOI : 10.1523/JNEUROSCI.0870-13.2013

O. Leary, T. , M. C. Rossum, and D. J. Wyllie, Homeostasis of intrinsic excitability in hippocampal neurones: dynamics and mechanism of the response to chronic depolarization, J Physiol, vol.588, pp.157-170, 2010.

O. Leary, T. , and D. J. Wyllie, Neuronal homeostasis: time for a change?, J Physiol, vol.589, pp.4811-4826, 2011.

L. U. Perrinet, Role of Homeostasis in Learning Sparse Representations, Neural Computation, vol.19, issue.36, pp.1812-1836, 2010.
DOI : 10.1162/089976601300014385
URL : https://hal.archives-ouvertes.fr/hal-00156610

K. Rajan and L. F. Abbott, Eigenvalue Spectra of Random Matrices for Neural Networks, Physical Review Letters, vol.97, issue.18, p.188104, 2006.
DOI : 10.1103/PhysRevLett.97.188104

M. W. Remme and W. J. Wadman, Homeostatic Scaling of Excitability in Recurrent Neural Networks, PLoS Computational Biology, vol.451, issue.5, p.1002494, 2012.
DOI : 10.1371/journal.pcbi.1002494.g008

P. T. Saunders, J. H. Koeslag, and J. A. Wessels, Integral Rein Control in Physiology, Journal of Theoretical Biology, vol.194, issue.2, pp.163-173, 1998.
DOI : 10.1006/jtbi.1998.0746

H. S. Seung, D. D. Lee, B. Y. Reis, and D. W. Tank, Stability of the Memory of Eye Position in a Recurrent Network of Conductance-Based Model Neurons, Neuron, vol.26, issue.1, pp.259-271, 2000.
DOI : 10.1016/S0896-6273(00)81155-1

M. E. Soden and L. Chen, Fragile X Protein FMRP Is Required for Homeostatic Plasticity and Regulation of Synaptic Strength by Retinoic Acid, Journal of Neuroscience, vol.30, issue.50, pp.16910-16921, 2010.
DOI : 10.1523/JNEUROSCI.3660-10.2010

M. Stemmler and C. Koch, How voltage-dependent conductances can adapt to maximize the information encoded by neuronal firing rate, Nat. Neuro, vol.2, pp.512-527, 1999.

J. Triesch, Synergies Between Intrinsic and Synaptic Plasticity Mechanisms, Neural Computation, vol.69, issue.4, pp.885-909, 2007.
DOI : 10.1038/nrn1248

G. G. Turrigiano, Too Many Cooks? Intrinsic and Synaptic Homeostatic Mechanisms in Cortical Circuit Refinement, Annual Review of Neuroscience, vol.34, issue.1, pp.89-103, 2011.
DOI : 10.1146/annurev-neuro-060909-153238

M. C. Van-rossum, M. A. Meer, D. Xiao, and M. W. Oram, Adaptive Integration in the Visual Cortex by Depressing Recurrent Cortical Circuits, Neural Computation, vol.21, issue.4, pp.1847-1872, 2008.
DOI : 10.1523/JNEUROSCI.3508-05.2005

I. Van-welie, J. A. Van-hooft, and W. J. Wadman, Homeostatic scaling of neuronal excitability by synaptic modulation of somatic hyperpolarization-activated Ih channels, Proceedings of the National Academy of Sciences, vol.101, issue.14, pp.5123-5128, 2004.
DOI : 10.1073/pnas.0307711101

T. Yi, Y. Huang, M. I. Simon, and J. Doyle, Robust perfect adaptation in bacterial chemotaxis through integral feedback control, Proceedings of the National Academy of Sciences, vol.97, issue.9, pp.4649-4653, 2000.
DOI : 10.1073/pnas.97.9.4649

Z. Zahreddine and E. Elshehawey, On the stability of a system of differential equations with complex coefficients, Indian J. Pure Appl. Math, vol.19, pp.963-972, 1988.

F. Zenke, G. Hennequin, and W. Gerstner, Synaptic Plasticity in Neural Networks Needs Homeostasis with a Fast Rate Detector, PLoS Computational Biology, vol.2, issue.11, p.1003330, 2013.
DOI : 10.1371/journal.pcbi.1003330.s002