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

Georges Bastin; Jean Michel Coron; Amaury Hayat

doi:10.1016/j.na.2021.112300

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

Georges Bastin
, Jean Michel Coron
, Amaury Hayat

Research output: Contribution to journal › Article › peer-review

Abstract

We give sufficient conditions for local Input-to-State Stability in C¹ 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.

Original language	English
Article number	112300
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	208
DOIs	https://doi.org/10.1016/j.na.2021.112300
Publication status	Published - 1 Jul 2021

Keywords

Hyperbolic systems
Inhomogeneous systems
Input-to-state stability
Lyapunov
Nonlinear

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10.1016/j.na.2021.112300

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title = "Input-to-State Stability in sup norms for hyperbolic systems with boundary disturbances",

abstract = "We give sufficient conditions for local Input-to-State Stability in C1 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.",

keywords = "Hyperbolic systems, Inhomogeneous systems, Input-to-state stability, Lyapunov, Nonlinear",

author = "Georges Bastin and Coron, \{Jean Michel\} and Amaury Hayat",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Ltd",

year = "2021",

month = jul,

day = "1",

doi = "10.1016/j.na.2021.112300",

language = "English",

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T1 - Input-to-State Stability in sup norms for hyperbolic systems with boundary disturbances

AU - Bastin, Georges

AU - Coron, Jean Michel

AU - Hayat, Amaury

PY - 2021/7/1

Y1 - 2021/7/1

N2 - We give sufficient conditions for local Input-to-State Stability in C1 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.

AB - We give sufficient conditions for local Input-to-State Stability in C1 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.

KW - Hyperbolic systems

KW - Inhomogeneous systems

KW - Input-to-state stability

KW - Lyapunov

KW - Nonlinear

UR - https://www.scopus.com/pages/publications/85102073466

U2 - 10.1016/j.na.2021.112300

DO - 10.1016/j.na.2021.112300

M3 - Article

AN - SCOPUS:85102073466

SN - 0362-546X

VL - 208

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

M1 - 112300

ER -

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

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Keywords

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