Stabilization of Wave Equation Using Standard/Fractional Derivative in Boundary Damping

DOI10.1007/978-3-319-00933-9_9zbMath1271.93120OpenAlexW86176574MaRDI QIDQ2849611

Piotr Grabowski

Publication date: 23 September 2013

Published in: Lecture Notes in Electrical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-00933-9_9

zbMATH Keywords

semigroupswave equationsfractional differential equationsfeedback controllerstrong asymptotic stabilitycontrol of infinite-dimensional systems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Wave equation (35L05) Control/observation systems in abstract spaces (93C25)

Related Items (4)

Asymptotic stability of the multidimensional wave equation coupled with classes of positive-real impedance boundary conditions ⋮ Energy analysis and discretization of nonlinear impedance boundary conditions for the time-domain linearized Euler equations ⋮ Convergence of Laguerre impulse response approximation for noninteger order systems ⋮ Quadrature Based Approximations of Non-integer Order Integrator on Finite Integration Interval

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