Spectral analysis for a degenerate tree and applications

DOI10.1080/00207179.2015.1012652zbMath1334.35004OpenAlexW2001943552MaRDI QIDQ2797639

Mohamed Jellouli

Publication date: 5 April 2016

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2015.1012652

zbMATH Keywords

resolventeigenvaluespectral abscissaenergy decaynetwork of stringsdegenerate network

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Wave equation (35L05)

Related Items (3)

The exponential decay rate of generic tree of 1-d wave equations with boundary feedback controls ⋮ Energy decay for the damped wave equation on an unbounded network ⋮ Stability and spectral properties of general tree-shaped wave networks with variable coefficients

Cites Work

• Unnamed Item
• Optimal decay rates for the stabilization of a string network
• Stability and Riesz basis property for general network of strings
• Remark on stabilization of tree-shaped networks of strings.
• Semigroups of linear operators and applications to partial differential equations
• Stabilization of generic trees of strings
• Exponential and super stability of a wave network
• Wave propagation, observation and control in 1-\(d\) flexible multi-structures.
• EXPONENTIAL STABILISATION OF A TREE-SHAPED NETWORK OF STRINGS WITH VARIABLE COEFFICIENTS
• The rate at which energy decays in a damped String
• Stabilization of second order evolution equations by a class of unbounded feedbacks
• Explicit Solutions for Root Optimization of a Polynomial Family With One Affine Constraint

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