Systems with persistent memory : controllability, stability, identification / Luciano Pandolfi.
2021
QA401 .P36 2021
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Unlimited
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Authorized users
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Can lend chapters, not whole ebooks
Details
Title
Systems with persistent memory : controllability, stability, identification / Luciano Pandolfi.
ISBN
9783030802813 (electronic bk.)
3030802817 (electronic bk.)
9783030802806
3030802809
3030802817 (electronic bk.)
9783030802806
3030802809
Published
Cham : Springer, [2021]
Copyright
©2021
Language
English
Description
1 online resource : illustrations (chiefly color)
Item Number
10.1007/978-3-030-80281-3 doi
Call Number
QA401 .P36 2021
Dewey Decimal Classification
511/.8
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Digital File Characteristics
text file
PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed November 4, 2021).
Series
Interdisciplinary applied mathematics ; v. 54. 2196-9973
Available in Other Form
Print version: 9783030802806
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Table of Contents
Introduction
Preliminary Considerations and Examples
Operators and Semigroups for Systems with Boundary Inputs
The Heat Equation with Memory and its Controllability
The Wave Equation with Memory and its Controllability
The Stability of the Wave Equation with Persistent Memory
Dynamical Algorithms for Identification Problems
Final Miscellaneous Problems.
Preliminary Considerations and Examples
Operators and Semigroups for Systems with Boundary Inputs
The Heat Equation with Memory and its Controllability
The Wave Equation with Memory and its Controllability
The Stability of the Wave Equation with Persistent Memory
Dynamical Algorithms for Identification Problems
Final Miscellaneous Problems.