H. Lin and P. Antsaklis, Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results, IEEE Trans. on Automatic Control, vol.54, issue.2, pp.308-322, 2009.

D. Liberzon, Switching in Systems and Control, Systems and Control: 225 Foundations and Applications, pp.0-8176, 2003.

M. Balde, U. Boscain, and P. Mason, A note on stability conditions for planar switched systems, Int. J. of Contr, vol.82, issue.10, pp.1882-1888, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00323682

S. Dashkovskiy, B. Rueffer, and F. Wirth, Small gain theorems for large scale 230 systems and construction of ISS Lyapunov functions, SIAM Journal on Control and Optimization, vol.48, issue.6, pp.4089-4118, 2010.

E. Panteley and A. Loría, Growth rate conditions for stability of cascaded time-varying systems, Automatica, vol.37, issue.3, pp.453-460, 2001.

M. Arcak, D. Angeli, and E. Sontag, A unifying integral ISS framework for 235 stability of nonlinear cascades, SIAM J. on Contr. and Opt, vol.40, pp.888-1904, 2002.

H. Ito, A Lyapunov approach to cascade interconnection of Integral Inputto-State Stable systems, IEEE Trans. Autom. Control, vol.55, issue.3, pp.702-708, 2010.

A. Chaillet and D. Angeli, Integral Input-to-State Stable systems in cascade, Systems & Control Letters, vol.57, issue.7, pp.519-527, 2008.

D. Angeli and D. Liberzon, A note on uniform global asymptotic stability of nonlinear switched systems in triangular form, Proc. 14th Int. Symp. on Mathematical Theory of Networks and Systems (MTNS), p.245, 2000.

E. Sontag, Input to state stability: Basic concepts and results, Nonlinear and Optimal Control Theory, pp.163-220, 2006.

E. Sontag and A. Teel, Changing supply functions in Input-to-State Stable systems, IEEE Trans. Autom. Control, vol.40, issue.8, pp.1476-1478, 1995.

A. Chaillet, D. Angeli, and H. Ito, Strong iISS is preserved under cascade interconnection, Automatica, vol.50, issue.9, pp.2424-2427, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01103301

E. Sontag, Comments on integral variants of ISS, Systems & Control Letters, vol.34, pp.93-100, 1998.

A. Chaillet, D. Angeli, and H. Ito, Combining iISS and ISS with respect to 255 small inputs: the Strong iISS property, IEEE Trans. on Automat. Contr, vol.59, issue.9, pp.2518-2524, 2014.

R. Azouit, A. Chaillet, and L. Greco, Robustness under saturated feedback: Strong iISS for a class of nonlinear systems, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00981115

E. Sontag and Y. Wang, On characterizations of the Input-to-State Stability property, Systems & Control Letters, vol.24, pp.351-359, 1995.

D. Angeli, E. Sontag, and Y. Wang, A characterization of integral input to state stability, IEEE Trans. Autom. Control, vol.45, pp.1082-1097, 2000.

E. Sontag, Smooth stabilization implies coprime factorization, IEEE Trans

, Autom. Control, vol.34, issue.4, pp.435-443, 1989.

E. Sontag and Y. Wang, New characterizations of Input-to-State Stability, IEEE Trans. Autom. Control, vol.41, pp.1283-1294, 1996.

L. Vu, D. Chatterjee, and D. Liberzon, Input-to-State Stability of switched systems and switching adaptive control, Automatica, vol.43, issue.4, pp.639-270, 2007.

J. Mancilla-aguilar and R. Garcia, On converse Lyapunov theorems for ISS and iISS switched nonlinear systems, Systems & Control Letters, vol.42, issue.1, pp.47-53, 2001.