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Systems with Persistent Memory

Controllability, Stability, Identification

Language EnglishEnglish
Book Paperback
Book Systems with Persistent Memory Luciano Pandolfi
Libristo code: 41632255
Publishers Springer, Berlin, November 2021
This text addresses systems with persistent memory that are common mathematical models used in the s... Full description
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This text addresses systems with persistent memory that are common mathematical models used in the study of viscoelasticity and thermodynamics with memory. In particular, this class of systems is used to model non-Fickian diffusion in the presence of complex molecular structures. Hence, it has wide applications in biology. The book focuses on the properties and controllability of the archetypal heat and wave equations with memory and introduces the dynamic approach to identification problems and the basic techniques used in the study of stability. The book presents several approaches currently used to study systems with persistent memory: Volterra equation in Hilbert spaces, Laplace transform techniques and semigroup methods. The text is intended for a diverse audience in applied mathematics and engineering and it can be used in PhD courses. Readers are recommended to have a background in the elements of functional analysis. Topics of functional analysis which younger readers may need to familiarize with are presented in the book.

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About the book

Full name Systems with Persistent Memory
Language English
Binding Book - Paperback
Date of issue 2022
Number of pages 356
EAN 9783030802837
Libristo code 41632255
Publishers Springer, Berlin
Weight 512
Dimensions 155 x 235 x 20
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