Qualitative properties for the 1 − D impulsive wave equation: controllability and observability

DOI10.2989/16073606.2021.1940346zbMath1500.35309arXiv2106.02868OpenAlexW3186907737MaRDI QIDQ5039408

Walid Zouhair, Akram Ben Aissa

Publication date: 12 October 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.02868

zbMATH Keywords

impulse controlimpulse observabilityimpulse approximate controllabilityimpulsive wave equation

Mathematics Subject Classification ID

Controllability (93B05) Initial-boundary value problems for second-order hyperbolic equations (35L20) Observability (93B07) Wave equation (35L05) Impulsive partial differential equations (35R12)

Related Items (4)

Impulse null approximate controllability for heat equation with dynamic boundary conditions ⋮ Finite-time stabilization and Impulse control of heat equation with dynamic boundary conditions ⋮ Unnamed Item ⋮ A study on the mild solution of special random impulsive fractional differential equations

Cites Work

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• A characterization of semilinear dense range operators and applications
• Representation and control of infinite dimensional systems
• Semigroups of linear operators and applications to partial differential equations
• Practical stabilization of control systems with impulse effects
• Infinite dimensional linear systems theory
• Practical stability of impulsive control systems
• Controllability of the impulsive semilinear heat equation with memory and delay
• Impulse output rapid stabilization for heat equations
• Characterization by observability inequalities of controllability and stabilization properties
• Controllability of impulse controlled systems of heat equations coupled by constant matrices
• Exact controllability of second-order hyperbolic equations with impulse controls
• Controllability of the impulsive semilinear beam equation with memory and delay

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