On the theory of stability of control system, Applied mathematics and mechanics, vol.8, issue.3, 1944. ,
Kalman-PopovYakubovich lemma and the S-procedure: a historical essay, Automation and Remote Control, vol.67, issue.11, pp.1768-1810, 2006. ,
, Nonlinear Systems, 2002.
Positivity conditions of Lyapunov functions for systems with slope restricted nonlinearities, Proc. of the American Control Conference, pp.258-263, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01710297
Stability criteria of sector-and sloperestricted Lur'e systems, IEEE Transactions on Automatic Control, vol.47, issue.2, pp.308-313, 2002. ,
Lyapunov functions and L 2 gain bounds for systems with slope restricted nonlinearities, Systems & Control Letters, vol.69, pp.1-6, 2014. ,
Generalised absolute stability and sum of squares, Automatica, vol.49, issue.4, pp.960-967, 2013. ,
Estimating the domain of attraction for non-polynomial systems via LMI optimizations, Automatica, vol.45, issue.6, pp.1536-1541, 2009. ,
Nonlinear stability analysis for non-polynomial systems, Proc. of the 22 nd American Control Conference, pp.1725-1730, 2004. ,
Analysis of non-polynomial systems using the sum of squares decomposition, Positive Polynomials in Control, pp.23-43, 2005. ,
Lyapunov analysis of nonlinear systems with rational vector field and Jacobian, Proc. of the 11 th UK International Conference on Control, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01710295
ZamesFalb multipliers for absolute stability: From O'Shea's contribution to convex searches, European Journal of Control, vol.28, pp.1-19, 2016. ,
Semidefinite optimization and convex algebraic geometry, 2012. ,
Region of attraction estimation using invariant sets and rational Lyapunov functions, Automatica, vol.75, pp.37-45, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01576290
Modern anti-windup synthesis: control augmentation for actuator saturation, 2011. ,
Non-linear vehicle domain of attraction analysis using sum-of-squares programming, Proc. of the Conference on Control Applications, pp.1209-1214, 2016. ,
Tire and vehicle dynamics. 2 nd edition, 2005. ,
Loworder mathematical modelling of electric double layer supercapacitors using spectral methods, Journal of Power Sources, vol.277, pp.317-328, 2015. ,