Input-to-State Stability in sup norms for hyperbolic systems with\n boundary disturbances

2020/04/24 by Georges Bastin, Bastin, Georges, Jean‐Michel Coron +3
Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2004.12026

openalex publication_date 2020/04/24 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We give sufficient conditions for Input-to-State Stability in C¹ norm of\ngeneral quasilinear hyperbolic systems with boundary input disturbances. In\nparticular the derivation of explicit Input-to-State Stability conditions is\ndiscussed for the special case of 2\× 2 systems.\n

Related

• Global exponential stability and Input-to-State Stability of semilinear hyperbolic systems for the L² norm
• An analysis of the input-to-state-stabilisation of linear hyperbolic systems of balance laws with boundary disturbances
• Relative Stability in the Sup-norm and Input-to-state Stability in the Spatial Sup-norm for Parabolic PDEs
• Boundary stabilization of quasilinear hyperbolic systems of balance laws: Exponential decay for small source terms
• A boundary feedback analysis for input-to-state-stabilisation of non-uniform linear hyperbolic systems of balance laws with additive disturbances