Uniqueness of solution to systems of elliptic operators and application to asymptotic synchronization of linear dissipative systems

DOI10.1051/cocv/2020062zbMath1461.93416OpenAlexW3089303894MaRDI QIDQ5854410

Bopeng Rao, Ta-Tsien Li

Publication date: 17 March 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2020062

zbMATH Keywords

uniquenesselliptic systemsasymptotic synchronizationKalman's rank conditioncondition of compatibility

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Asymptotic stability in control theory (93D20) Observability (93B07) Operator-theoretic methods (93B28) Elliptic operators and their generalizations (47F10)

Related Items (4)

Algebraic Conditions to the Uniqueness Theorem for a Coupled System of Wave Equations ⋮ Asymptotic synchronization of a coupled system of wave equations on a rectangular domain with reflecting sides ⋮ Uniform Synchronization of an Abstract Linear Second Order Evolution System ⋮ Uniqueness of solution to systems of elliptic operators and application to asymptotic synchronization of linear dissipative systems. II: case of multiple feedback dampings

Cites Work

• Uniqueness theorem for partially observed elliptic systems and application to asymptotic synchronization
• Energy decay rate of the thermoelastic Bresse system
• Semigroups of linear operators and applications to partial differential equations
• Boundary control of a linear thermoelastic beam
• Energy decay for Timoshenko systems of memory type.
• Uniform stabilization of a shallow shell model with nonlinear boundary feedbacks
• Kalman's criterion on the uniqueness of continuation for the nilpotent system of wave equations
• Controllability of the linear system of thermoelastic plates
• Global existence and stability of a class of nonlinear evolution equations with hereditary memory and variable density
• Influence of the hidden regularity on the stability of partially damped systems of wave equations
• On the sensitivity of the transmission of boundary dissipation for strongly coupled and indirectly damped systems of wave equations
• Generalized exact boundary synchronization for a coupled system of wave equations
• Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients
• Criteria of Kalman's Type to the Approximate Controllability and the Approximate Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls
• Boundary Control of the Timoshenko Beam
• Tauberian Theorems and Stability of One-Parameter Semigroups
• Unique continuation for elliptic operators: A geometric-variational approach
• A Note on Weak Stabilizability of Contraction Semigroups
• Stabilization and Exact Boundary Controllability for Maxwell’s Equations
• GENERAL ENERGY DECAY FOR A DEGENERATE VISCOELASTIC PETROVSKY-TYPE PLATE EQUATION WITH BOUNDARY FEEDBACK
• Boundary Synchronization for Hyperbolic Systems
• On the approximate boundary synchronization for a coupled system of wave equations: direct and indirect controls
• DYNAMIC PROPERTIES FOR NONLINEAR VISCOELASTIC KIRCHHOFF-TYPE EQUATION WITH ACOUSTIC CONTROL BOUNDARY CONDITIONS Ⅱ
• ORBITAL STABILITY OF PERIODIC TRAVELING WAVE SOLUTIONS TO THE GENERALIZED LONG-SHORT WAVE EQUATIONS
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