A. Aparicio, L. Fridman, and D. Efimov, Stabilization of systems with switchings on the axis of their coordinates and its input-to-state properties, Nonlinear Analysis: Hybrid Systems, vol.32, pp.10-18, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01908289

E. Barbashin, On construction of Lyapunov functions for nonlinear systems, Proc. 1st IFAC World Congress, pp.742-751, 1961.

E. Bernuau, D. Efimov, W. Perruquetti, and A. Polyakov, On homogeneity and its application in sliding mode, J. Franklin Institute, vol.351, issue.4, pp.1866-1901, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00942326

S. Dashkovskiy, D. Efimov, and E. Sontag, Input to state stability and allied system properties. Automation and Remote Control, vol.72, pp.1579-1614, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00639491

D. Efimov and A. Aleksandrov, Robust stability analysis and implementation of Persidskii systems, Proc. 58th IEEE Conference on Decision and Control (CDC), 2019.
URL : https://hal.archives-ouvertes.fr/hal-02418534

D. Efimov and A. Fradkov, Oscillatority of nonlinear systems with static feedback, SIAM J. Control Optimization, vol.48, issue.2, pp.618-640, 2009.

D. Efimov and W. Perruquetti, On conditions of oscillations and multi-homogeneity. Mathematics of Control, Signals, and Systems, vol.28, pp.1-37, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01223154

K. Erickson and A. Michel, Stability analysis of fixed-point digital filters using computer generated Lyapunov functions -Part I: Direct form and coupled form filters, IEEE Trans. on Circuits and Systems, vol.32, pp.113-132, 1985.

A. Fradkov and A. Pogromsky, Introduction to oscillations and chaos, 1998.

W. Hahn, Stability of Motion, 1967.

J. Hopfield and D. Tank, Computing with neural circuits: a model, Science, vol.233, pp.625-633, 1986.

E. Kazkurewicz and A. Bhaya, Matrix Diagonal Stability in Systems and Computation, 1999.

H. Khalil, Nonlinear Systems, 2002.

N. Krasovskii, Stability of Motion, 1963.

J. Lasalle and S. Lefchetz, Stability by Liapunov's Direct Method with Aplications, 1961.

G. Leonov, I. Burkin, and A. Shepelyavyi, Frequency Methods in Oscillation Theory. Kluwer, Dordrecht, 1992.

Y. Lin, E. D. Sontag, W. , and Y. , A smooth converse Lyapunov theorem for robust stability, SIAM Journal on Control and Optimization, vol.34, issue.1, pp.124-160, 1996.

A. M. Lyapunov, Stability of motion: General problem, Lyapunov Centenary issue, vol.55, issue.3, pp.520-790, 1992.

I. Malkin, Theory of Stability of Motion, 1952.

S. Martinez, J. Cortes, and F. Bullo, Analysis and design of oscillatory control systems, IEEE Trans. Autom. Control, vol.48, issue.7, pp.1164-1177, 2003.

F. D. Meglio, G. O. Kaasa, and N. Petit, A first principle model for multiphase slugging flow in vertical risers, Proc. 48th IEEE Conf. on Decision and Control, pp.8244-8251, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00474370

S. Persidskii, Problem of absolute stability. Automation and Remote Control, vol.12, pp.1889-1895, 1969.

E. Sontag, L 2 -gain and passivity techniques in nonlinear control, Some Topics in Neural Networks and Control. van der Schaft, A, vol.218, 1993.

V. Yakubovich, Frequency oscillations conditions in nonlinear systems with stationary single nonlinearity, Siberian Math. J, vol.14, issue.2, pp.265-289, 1973.

V. Yakubovich, Oscillations in systems with discontinuous and hysteresis nonlinearities. Automation and Remote Control, vol.36, pp.1973-1985, 1975.

V. Yakubovich and E. Tomberg, Conditions for self-induced oscillations in nonlinear systems, Siberian Math. J, vol.30, pp.641-653, 1989.