Input-to-State Stability in sup norms for hyperbolic systems with boundary disturbances. (July 2021)

• Record Type: Journal Article
• Authors: Bastin, Georges; Coron, Jean-Michel; Hayat, Amaury
• Is Part Of: Nonlinear analysis. Volume 208(2021)
• Publication Date: 2021-07
• Subjects: Input-to-state stability -- Lyapunov -- Hyperbolic systems -- Nonlinear -- Inhomogeneous systems; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2021.112300
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We give sufficient conditions for local Input-to-State Stability in C 1 norm of general quasilinear hyperbolic systems with boundary input disturbances. In particular the derivation of explicit Input-to-State Stability conditions is discussed for the special case of 2 × 2 systems.