On the lack of controllability in naive mechanics models: three exceptional cases

DOI10.3103/S0025654422080313MaRDI QIDQ2695917

I. V. Romanov

Publication date: 5 April 2023

Published in: Mechanics of Solids (Search for Journal in Brave)

zbMATH Keywords

boundary controllabilityequations with memoryviscoelasticity models

Mathematics Subject Classification ID

Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74Dxx)

Cites Work

• Noncontrollability to rest of the two-dimensional distributed system governed by the integrodifferential equation
• Spectral analysis and correct solvability of abstract integrodifferential equations arising in thermophysics and acoustics
• Null controllability of a system of viscoelasticity with a moving control
• Heat equation with memory: Lack of controllability to rest
• Exact control of a distributed system described by the wave equation with integral memory
• Investigation of controllability for some dynamic systems with distributed parameters described by integrodifferential equations
• Exact controllability of the distributed system, governed by string equation with memory
• A general theory of heat conduction with finite wave speeds
• Null-controllability properties of the wave equation with a second order memory term
• Spectral analysis and representation of solutions of integro-differential equations with fractional exponential kernels
• Controllability of Evolution Equations with Memory

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