Titlebook: Systems with Persistent Memory; Controllability, Sta Luciano Pandolfi Book 2021 The Editor(s) (if applicable) and The Author(s), under excl

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Inelasticity

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The Stability of the Wave Equation with Persistent Memory,n this chapter we study stability of the solutions of the wave equation with memory. We confine ourselves to study exponential stability and ..-stability under significant (but non minimal) conditions on the memory kernel. The goal is to make contact with the most important methods which are current

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Dynamical Algorithms for Identification Problems,te, since it is ill posed, and important for applications since it is concerned with the identification of the material parameters of the system. Hence there exists a large engineering literature in particular concerned with the identification of the memory kernel. Here we confine ourselves to the w

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Preliminary Considerations and Examples,mory and in the study of filtration of fluids. The book confines ourselves to study properties of linear system, but the last example shows the derivation of a nonlinear equation with persistent memory.

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Operators and Semigroups for Systems with Boundary Inputs,s; fractional powers of selfadjoint positive operators; Sobolev spaces; the Laplace equation with nonhomogeneous Dirichlet and Neumann boundary conditions; semigroup and cosine operators. Then we describe the way these tools can be used to model systems with boundary inputs.

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