Set oriented numerical methods for dynamical systems, Handbook of Dynamical Systems, vol.2, pp.221-264, 2002. ,
A Short Course on Operator Semigroups, 2006. ,
Stabilization of continuous-time linear systems subject to input quantization, Automatica, vol.58, pp.167-172, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01767297
Review on computational methods for Lyapunov functions, Discrete & Continuous Dynamical Systems -B, vol.20, issue.8, pp.2291-2331, 2015. ,
Bounding extrema over global attractors using polynomial optimization, 2018. ,
Bounds on mean energy in the Kuramoto-Sivashinsky equation computed using semidefinite programming, Nonlinearity, vol.32, issue.5, p.1705, 2019. ,
Gloptipoly 3: moments, optimization and semidefinite programming, Optim. Methods and Software, vol.24, pp.761-779, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00172442
Convex computation of the region of attraction of polynomial control systems, IEEE Transactions on Automatic Control, vol.59, issue.2, pp.297-312, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00723019
Sur les centres d'attraction minimaux des systèmes dynamiques, Compositio Math, vol.3, pp.227-238, 1936. ,
Convex computation of the maximum controlled invariant set for polynomial control systems, SIAM J. CONTROL OPTIM, vol.52, issue.5, pp.2944-2969, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00804816
Moments and convex optimization for analysis and control of nonlinear partial differential equations, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01771699
Computing controlled invariant sets from data using convex optimization, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02398027
What can Koopmanism do for attractors in dynamical systems, 2019. ,
Finding Extremal Periodic Orbits with Polynomial Optimization, with Application to a Nine-Mode Model of Shear Flow, SIAM Journal on Applied Dynamical Systems, vol.19, issue.2, pp.763-787, 2020. ,
Global optimization with polynomials and the problem of moments, SIAM Journal on optimization, vol.11, issue.3, pp.796-817, 2001. ,
Nonlinear optimal control via occupation measures and LMI relaxations, SIAM Journal on Control and Optimization, vol.47, pp.1643-1666, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00136032
, Moments, positive polynomials and their applications, 2009.
Introduction to Smooth Manifolds, 2003. ,
YALMIP : A toolbox for modeling and optimization in MATLAB, Proc. IEEE CCA/ISIC/CACSD Conference, 2004. ,
RealCertify: a Maple package for certifying nonnegativity, ACM Communications in Computer Algebra, vol.52, issue.2, pp.34-37, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01956812
Semidefinite approximations of reachable sets for discrete-time polynomial systems, SIAM Journal on Control and Optimization, vol.57, issue.4, pp.2799-2820, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-01490897
A moment approach for entropy solutions to nonlinear hyperbolic PDEs, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01830870
Differential Dynamical Systems, 2017. ,
Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimiziation, 2000. ,
Computing sum of squares decompositions with rational coefficients, Theoretical Computer Science, vol.409, issue.2, pp.269-281, 2008. ,
SeDuMi: a package for conic optimization, IMA workshop on Optimization and Control, 2007. ,
Nonlinear control synthesis by convex optimization, IEEE Transactions on Automatic Control, vol.49, issue.2, pp.310-314, 2004. ,
Positive polynomials on compact semi-algebraic sets, Indiana Univ. Mathematics Journal, vol.42, pp.969-984, 1993. ,
Infinite-Dimensional Dynamical Systems. An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors, 2001. ,
Generalized curves and extremal points, SIAM Journal on Control, vol.13, issue.1, pp.28-47, 1975. ,
Approximating regions of attraction of a sparse polynomial differential system, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02367689
Chordal Sparsity in Control and Optimization of Large-scale Systems, 2019. ,