The lack of exponential stability of the hybrid Bresse system

DOI10.1016/j.jmaa.2015.11.041zbMath1328.93218OpenAlexW2207580511MaRDI QIDQ905929

Sergio Rifo, Octavio P. Vera Villagrán, Jaime Edilberto Muñoz Rivera

Publication date: 28 January 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.11.041

zbMATH Keywords

hybrid systempolynomial stabilitycurved beamlack of exponential stabilityhyperbolic problemtip body

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control/observation systems governed by partial differential equations (93C20) Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (8)

Decay rate estimates for a new class of multidimensional nonlinear Bresse systems with time-dependent dissipations ⋮ Arched beams of Bresse type: New thermal couplings and pattern of stability ⋮ New general decay results for a multi-dimensional Bresse system with viscoelastic boundary conditions ⋮ Pointwise stabilization of Bresse systems ⋮ Optimal memory-type boundary control of the Bresse system ⋮ Arched beams of Bresse type: observability and application in thermoelasticity ⋮ Unnamed Item ⋮ On the asymptotic stability of a Bresse system with two fractional damping terms: theoretical and numerical analysis

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