Input-to-state stability for bilinear feedback systems

2023/03/08 by René Hosfeld, Hosfeld, René, Birgit Jacob +5 · 1 citation
Engineering · Mathematics · #35B35 #47J35 #93C10 #93D06 #93D25 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Navier-Stokes equation solutions #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2303.04563

openalex publication_date 2023/03/08 · openalex created_date 2023/03/12 · openalex updated_date 2026/07/28

Abstract

Input-to-state stability estimates with respect to small initial conditions and input functions for infinite-dimensional systems with bilinear feedback are shown. We apply the obtained results to controlled versions of a viscous Burger equation with Dirichlet boundary conditions, a Schrödinger equation, a Navier--Stokes system and a semilinear wave equation.

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