Formulas of boundary control of an inhomogeneous string. I

DOI10.1134/S0012266107010090zbMath1131.93006MaRDI QIDQ2459743

A. V. Borovskikh

Publication date: 8 November 2007

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

boundary controllabilitystringsperturbation propagation time

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Perturbations in control/observation systems (93C73) Strings (74K05)

Related Items (11)

The formula of the solution for some classes of initial boundary value problems for the hyperbolic equation with two independent variables ⋮ Boundary control problems for quasilinear systems of hyperbolic equations ⋮ A string oscillations simulation with boundary conditions of hysteresis type ⋮ The problem of two-dimensional string vibrations with a nonlinear condition ⋮ Traveling wave method ⋮ Boundary control formulas for an inhomogeneous string. II ⋮ Задача управления для системы телеграфных уравнений ⋮ On a hyperbolic equation on a geometric graph with hysteresis type boundary conditions ⋮ Generalized control with compact support for systems with distributed parameters ⋮ Задача о полном успокоении для гиперболического уравнения, содержащего смешанную производную ⋮ Задача граничного управления для системы волновых уравнений

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• A general approach to splitting and invariant embedding for linear wave equations
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Unique continuation for solutions to pde's; between hörmander's theorem and holmgren' theorem
• Boundary Value Control of the Higher-Dimensional Wave Equation
• On the inverse problem for a hyperbolic dispersive partial differential equation

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