Solutions, Nonlinear Evolution Equations and Inverse Scattering, 1991. ,
Finite-time stabilization of a network of strings, Mathematical Control and Related Fields, vol.5, issue.4 ,
DOI : 10.3934/mcrf.2015.5.721
URL : https://hal.archives-ouvertes.fr/hal-01261807
Homogeneous Approximation, Recursive Observer Design, and Output Feedback, SIAM Journal on Control and Optimization, vol.47, issue.4, pp.1814-1850, 2008. ,
DOI : 10.1137/060675861
URL : https://hal.archives-ouvertes.fr/hal-00362707
Flows on homogeneous spaces, 1963. ,
Lyapunov Functions and Stability in Control Theory, 2005. ,
Nonlinear Differential Equations of Monotone Types in Banach Spaces, 2010. ,
DOI : 10.1007/978-1-4419-5542-5
Regularizing effects of homogeneous evolution equations, Contributions to Analysis and Geometry, 1981. ,
On homogeneity and its application in sliding mode control, Journal of the Franklin Institute, vol.351, issue.4, pp.1866-1901, 2014. ,
DOI : 10.1016/j.jfranklin.2014.01.007
URL : https://hal.archives-ouvertes.fr/hal-00942326
Verification of ISS, iISS and IOSS properties applying weighted homogeneity, Systems & Control Letters, vol.62, issue.12, pp.1159-1167, 2013. ,
DOI : 10.1016/j.sysconle.2013.09.004
URL : https://hal.archives-ouvertes.fr/hal-00877148
Stability of the separable solution for fast diffusion. Archive for Rational Mechanics and Analysis, pp.379-388, 1980. ,
Geometric homogeneity with applications to finite-time stability, Mathematics of Control, Signals, and Systems, vol.17, issue.2, pp.101-127, 2005. ,
DOI : 10.1007/s00498-005-0151-x
Finite-Time Stability of Continuous Autonomous Systems, SIAM Journal on Control and Optimization, vol.38, issue.3, pp.751-766, 2000. ,
DOI : 10.1137/S0363012997321358
Behaviour near extinction for the Fast Diffusion Equation on bounded domains, Journal de Math??matiques Pures et Appliqu??es, vol.97, issue.1, pp.1-38, 2012. ,
DOI : 10.1016/j.matpur.2011.03.002
A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws, IEEE Transactions on Automatic Control, vol.52, issue.1, pp.2-11, 2007. ,
DOI : 10.1109/TAC.2006.887903
Stability of Solutions of Differential Equations in Banach Spaces [16] D. Efimov and W. Perruquetti. Oscillations conditions in homogenous systems, Proc. IFAC NOLCOS Symp, pp.1379-1384, 1974. ,
Stability of Motion, 1967. ,
DOI : 10.1007/978-3-642-50085-5
Finite Time Controllers, SIAM Journal on Control and Optimization, vol.24, issue.4, pp.760-770, 1986. ,
DOI : 10.1137/0324047
Nilpotent Approximations of Control Systems and Distributions, SIAM Journal on Control and Optimization, vol.24, issue.4, p.731, 1986. ,
DOI : 10.1137/0324045
H??? control, stabilization, and input???output stability of nonlinear systems with homogeneous properties, Automatica, vol.37, issue.6, pp.819-829, 2001. ,
DOI : 10.1016/S0005-1098(01)00027-9
Topological characterization of the dilation and the translation in Frechet spaces, Mathematische Annalen, vol.128, issue.2, pp.1-5, 1970. ,
DOI : 10.1007/BF01349965
GEOMETRIC HOMOGENEITY AND STABILIZATION, Proc. IFAC Nonlinear Control Symposium, pp.164-169, 1995. ,
DOI : 10.1016/B978-0-08-042371-5.50030-7
On systems of ordinary differential equations with generalized homogenous right-hand sides. Izvestia vuzov, Mathematica, vol.3, issue.22, pp.157-164, 1961. ,
Homogeneity approach to high-order sliding mode design, Automatica, vol.41, issue.5, pp.823-830, 2005. ,
DOI : 10.1016/j.automatica.2004.11.029
Positive Definiteness of Generalized Homogeneous Functions, 9th Symposium on Nonlinear Control Systems, pp.552-557, 2013. ,
DOI : 10.3182/20130904-3-FR-2041.00150
Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems, SIAM Journal on Control and Optimization, vol.43, issue.4, pp.1253-1271, 2005. ,
DOI : 10.1137/S0363012903425593
Finite-Time Stabilization of $2\times2$ Hyperbolic Systems on Tree-Shaped Networks, SIAM Journal on Control and Optimization, vol.52, issue.1, pp.143-163, 2014. ,
DOI : 10.1137/130910762
Finite-Time Observers: Application to Secure Communication, IEEE Transactions on Automatic Control, vol.53, issue.1, pp.356-360, 2008. ,
DOI : 10.1109/TAC.2007.914264
URL : https://hal.archives-ouvertes.fr/inria-00176758
Sliding mode control design for MIMO systems: Implicit Lyapunov Function approach, 2014 European Control Conference (ECC), pp.2612-2617, 2014. ,
DOI : 10.1109/ECC.2014.6862362
URL : https://hal.archives-ouvertes.fr/hal-01003984
Finite-time and fixed-time stabilization: Implicit Lyapunov function approach, Automatica, vol.51, issue.1, pp.332-340, 2015. ,
DOI : 10.1016/j.automatica.2014.10.082
URL : https://hal.archives-ouvertes.fr/hal-01098099
Finite-time Stabilization Using Implicit Lyapunov Function Technique, 9th Symposium on Nonlinear Control Systems, pp.140-145 ,
DOI : 10.3182/20130904-3-FR-2041.00043
URL : https://hal.archives-ouvertes.fr/hal-00844386
Homogeneous Lyapunov function for homogeneous continuous vector field, Systems & Control Letters, vol.19, issue.6, pp.467-473, 1992. ,
DOI : 10.1016/0167-6911(92)90078-7
On finite stability in control systems, Rendiconti del Circolo Matematico di Palermo, vol.XV, issue.3, pp.273-283, 1966. ,
DOI : 10.1007/BF02844106
Universal stabilization of a class of nonlinear systems with homogeneous vector fields, Systems & Control Letters, vol.26, issue.3, pp.177-184, 1995. ,
DOI : 10.1016/0167-6911(95)00013-Y
A class of non-linear degenerating parabolic equations, Soviet Methematics Doklady, vol.148, pp.495-498, 1962. ,
On the Integrability of Homogeneous Scalar Evolution Equations, Journal of Differential Equations, vol.147, issue.2, pp.410-434, 1998. ,
DOI : 10.1006/jdeq.1998.3452
Homogeneous Lyapunov functions and necessary conditions for stabilization, Mathematics of Control, Signals, and Systems, vol.3, issue.No. 3, pp.34-58, 1996. ,
DOI : 10.1007/BF01211517
Super-stability and the spectrum of one-dimensional wave equations on general feedback controlled networks, IMA Journal of Mathematical Control and Information, vol.31, issue.1, pp.73-99, 2014. ,
DOI : 10.1093/imamci/dnt003
Classification of integrable polynomial vector evolution equations, Journal of Physics A: Mathematical and General, vol.34, issue.49, 2001. ,
DOI : 10.1088/0305-4470/34/49/327
Exponential and Super Stability of a Wave Network, Acta Applicandae Mathematicae, vol.47, issue.1, pp.19-41, 2012. ,
DOI : 10.1007/s10440-012-9768-1
Nonlinear Evolution Equations, 2004. ,
DOI : 10.1201/9780203492222
Methods of A.M. Lyapunov and Their Applications, 1964. ,
On systems of ordinary differential equations with generalized homogenous right-hand sides. Izvestia vuzov, Mathematica, vol.1, pp.80-88, 1958. ,