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math.AP2018
Stability analysis of dissipative systems subject to nonlinear damping via Lyapunov techniques
Swann Marx, Yacine Chitour, Christophe Prieur
In this article, we provide a general strategy based on Lyapunov functionals to analyse global asymptotic stability of linear infinite-dimensional systems subject to nonlinear damp…
math.AP2018
A moment approach for entropy solutions to nonlinear hyperbolic PDEs
Swann Marx, Tillmann Weisser, Didier Henrion +1
We propose to solve polynomial hyperbolic partial differential equations (PDEs) with convex optimization. This approach is based on a very weak notion of solution of the nonlinear…