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math.AP2026
Semi-uniform stability estimates for impedance passive systems with saturated feedback *
Swann Marx
This article investigates the long-time behavior of (possibly infinite-dimensional) impedance passive systems under saturated output feedback and external disturbances. We assume t…
math.AP2025
Optimizing quasi-dissipative evolution equations with the moment-SOS hierarchy
Saroj Prasad Chhatoi, Didier Henrion, Swann Marx +1
We prove that there is no relaxation gap between a quasi-dissipative nonlinear evolution equation in a Hilbert space and its linear Liouville equation reformulation on probability…
math.AP2025
Coercive ISS-Lyapunov functionals for regular infinite-dimensional systems and applications
Swann Marx
This paper proposes the construction of a coercive ISS-Lyapunov functional for linear regular infinite-dimensional system. Indeed, as already known, Lyapunov functionals for infini…