Dynamical systems coupled with monotone set-valued operators: Formalisms, applications, well-posedness, and stability
B Brogliato, A Tanwani - Siam Review, 2020 - SIAM
This survey article addresses the class of continuous-time systems where a system modeled
by ordinary differential equations is coupled with a static or time-varying set-valued operator …
by ordinary differential equations is coupled with a static or time-varying set-valued operator …
On characterizations of submanifolds via smoothness of the distance function in Hilbert spaces
D Salas, L Thibault - Journal of Optimization Theory and Applications, 2019 - Springer
The property of continuous differentiability with Lipschitz derivative of the square distance
function is known to be a characterization of prox-regular sets. We show in this paper that …
function is known to be a characterization of prox-regular sets. We show in this paper that …
Quantitative characterizations of nonconvex bodies with smooth boundaries in Hilbert spaces via the metric projection
D Salas, L Thibault - Journal of Mathematical Analysis and Applications, 2021 - Elsevier
The present paper is a continuation of a previous work with conditions for regularity of the
metric projection. Here we provide a full quantitative characterization of closed bodies in …
metric projection. Here we provide a full quantitative characterization of closed bodies in …