Exact reachability for second-order integro-differential equations

DOI10.1016/j.crma.2009.08.007zbMath1175.93026OpenAlexW2026526786MaRDI QIDQ1032842

Daniela Sforza, Paola Loreti

Publication date: 5 November 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.08.007

zbMATH Keywords

integro-differential equationHilbert's uniqueness methodharmonic analysis approachIngham type theorem

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Control/observation systems governed by functional-differential equations (93C23) Attainable sets, reachability (93B03) Hyperbolic equations and hyperbolic systems (35L99)

Related Items (4)

Existence results for some damped second-order Volterra integro-differential equations ⋮ Viscoelastic aspects of glass relaxation models ⋮ Inverse observability inequalities for integrodifferential equations in square domains ⋮ Control problems for weakly coupled systems with memory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exact boundary controllability of an integrodifferential equation
• Ingham-type inequalities for complex frequencies and applications to control theory
• Reachability problems for a class of integro-differential equations
• Séries lacunaires et contrôle semi-interne des vibrations d'une plaque rectangulaire. (Lacunary series and semi-internal control of vibrations of a rectangular plate)
• Polynomial decay and control of a 1-d model for fluid-structure interaction.
• Polynomial decay and control of a 1D hyperbolic-parabolic coupled system
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Ingham-Type Theorems for Vector-Valued Functions and Observability of Coupled Linear Systems
• Partial Exact Controllability for Spherical Membranes

This page was built for publication: Exact reachability for second-order integro-differential equations