Systems with Persistent Memory - Controllability, Stability, Identification (Hardcover, 1st ed. 2021)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Interdisciplinary Applied Mathematics, 54
Release date:	October 2021
First published:	2021
Authors:	Luciano Pandolfi
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	356
Edition:	1st ed. 2021
ISBN-13:	978-3-03-080280-6
Categories:	Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	3-03-080280-9
Barcode:	9783030802806

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