A. A. Agrachev, Y. Baryshnikov, and D. Liberzon, On robust Lie-algebraic stability conditions for switched linear systems, Systems & Control Letters, vol.61, issue.2, pp.347-353, 2012.
DOI : 10.1016/j.sysconle.2011.11.016

M. Balde, U. Boscain, and P. Mason, A note on stability conditions for planar switched systems, International Journal of Control, vol.47, issue.10, pp.1882-1888, 2009.
DOI : 10.1137/040613147
URL : https://hal.archives-ouvertes.fr/hal-00323682

N. E. Barabanov, Absolute characteristic exponent of a class of linear nonstatinoary systems of differential equations, Siberian Mathematical Journal, vol.3, issue.No. 4, pp.521-530, 1988.
DOI : 10.1007/BF00969859

N. E. Barabanov, On the Lyapunov exponent of discrete inclusions. I-III. Automation and Remote Control, pp.152-157, 1988.

N. E. Barabanov, On the A? ?zerman problem for third-order time-dependent systems, Differential Equations, vol.29, issue.10, pp.1439-1448, 1993.

N. E. Barabanov, Asymptotic behavior of extremal solutions and structure of extremal norms of linear differential inclusions of order three, Linear Algebra and its Applications, vol.428, issue.10, pp.2357-2367, 2008.
DOI : 10.1016/j.laa.2007.10.039

E. Bierstone and P. D. Milman, Semianalytic and subanalytic sets, Publications math??matiques de l'IH??S, vol.41, issue.2, pp.5-42, 1988.
DOI : 10.1007/BF02699126

U. Boscain, Stability of Planar Switched Systems: The Linear Single Input Case, SIAM Journal on Control and Optimization, vol.41, issue.1, pp.89-112, 2002.
DOI : 10.1137/S0363012900382837

M. S. Branicky, Multiple Lyapunov functions and other analysis tools for switched and hybrid systems, IEEE Transactions on Automatic Control, vol.43, issue.4, pp.475-482, 1998.
DOI : 10.1109/9.664150

A. Bressan and B. Piccoli, Introduction to the mathematical theory of control, AIMS Series on Applied Mathematics. American Institute of Mathematical Sciences (AIMS), vol.2, 2007.

Z. Bubnicki, Analysis and decision making in uncertain systems. Communications and Control Engineering Series, 2004.

Y. Chitour, P. Mason, and M. Sigalotti, On the marginal instability of linear switched systems, 49th IEEE Conference on Decision and Control (CDC), pp.747-757, 2012.
DOI : 10.1109/CDC.2010.5717638
URL : https://hal.archives-ouvertes.fr/hal-00522676

F. Colonius and W. Kliemann, The dynamics of control. Systems & Control: Foundations & Applications, 2000.

A. F. Filippov, Differential equations with discontinuous righthand sides, volume 18 of Mathematics and its Applications (Soviet Series), 1988.

M. Gaye, Y. Chitour, and P. Mason, Properties of Barabanov norms and extremal trajectories associated with continuous-time linear switched systems, 52nd IEEE Conference on Decision and Control, pp.716-721, 2013.
DOI : 10.1109/CDC.2013.6759966
URL : https://hal.archives-ouvertes.fr/hal-00925301

M. W. Hirsch, Differential topology, Graduate Texts in Mathematics, vol.33, issue.33, 1976.
DOI : 10.1007/978-1-4684-9449-5

R. Jungers, The joint spectral radius, volume 385 of Lecture Notes in Control and Information Sciences, Theory and applications, 2009.

S. G. Krantz and H. R. Parks, A primer of real analytic functions Birkhäuser Advanced Texts: Basler Lehrbücher. [Birkhäuser Advanced Texts: Basel Textbooks], 2002.

D. Liberzon, Switching in systems and control. Systems & Control: Foundations & Applications, 2003.

M. Margaliot, Stability analysis of switched systems using variational principles: An introduction, Automatica, vol.42, issue.12, pp.2059-2077, 2006.
DOI : 10.1016/j.automatica.2006.06.020

P. Mason, U. Boscain, and Y. Chitour, Common Polynomial Lyapunov Functions for Linear Switched Systems, SIAM Journal on Control and Optimization, vol.45, issue.1, pp.226-245, 2006.
DOI : 10.1137/040613147
URL : http://arxiv.org/abs/math/0403209

I. D. Morris, Criteria for the stability of the finiteness property and for the uniqueness of Barabanov norms, Linear Algebra and its Applications, vol.433, issue.7, pp.1301-1311, 2010.
DOI : 10.1016/j.laa.2010.05.007

I. D. Morris, A New Sufficient Condition for the Uniqueness of Barabanov Norms, SIAM Journal on Matrix Analysis and Applications, vol.33, issue.2, pp.317-324, 2012.
DOI : 10.1137/110837826

R. T. Rockafellar, Convex analysis. Princeton Mathematical Series, 1970.

R. Shorten, F. Wirth, O. Mason, K. Wulff, and C. King, Stability Criteria for Switched and Hybrid Systems, SIAM Review, vol.49, issue.4, pp.545-592, 2007.
DOI : 10.1137/05063516X

F. Wirth, The generalized spectral radius and extremal norms, Linear Algebra and its Applications, vol.342, issue.1-3, pp.17-40, 2002.
DOI : 10.1016/S0024-3795(01)00446-3