國立虎尾科技大學 |

Systems with Persistent Memory = Controllability, Stability, Identification /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Systems with Persistent Memory/ by Luciano Pandolfi.
Reminder of title:	Controllability, Stability, Identification /
Author:	Pandolfi, Luciano.
Description:	X, 356 p. 18 illus., 15 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Functional Analysis. -
Online resource:	https://doi.org/10.1007/978-3-030-80281-3
ISBN:	9783030802813

Systems with Persistent Memory = Controllability, Stability, Identification /
Pandolfi, Luciano.

Systems with Persistent MemoryControllability, Stability, Identification /[electronic resource] :by Luciano Pandolfi. - 1st ed. 2021. - X, 356 p. 18 illus., 15 illus. in color.online resource. - Interdisciplinary Applied Mathematics,542196-9973 ;. - Interdisciplinary Applied Mathematics,19.

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.

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.

ISBN: 9783030802813

Standard No.: 10.1007/978-3-030-80281-3doiSubjects--Topical Terms:

672166
Functional Analysis.

LC Class. No.: Q295

Dewey Class. No.: 519

Systems with Persistent Memory = Controllability, Stability, Identification /
LDR:02904nam a22004215i 4500 001 1056685
003 DE-He213
005 20211027182829.0
007 cr nn 008mamaa
008 220103s2021 sz | s |||| 0|eng d
020 $a 9783030802813 $9 978-3-030-80281-3
024 7 $a 10.1007/978-3-030-80281-3 $2 doi
035 $a 978-3-030-80281-3
050 4 $a Q295
050 4 $a QA402.3-402.37
072 7 $a GPFC $2 bicssc
072 7 $a SCI064000 $2 bisacsh
072 7 $a GPFC $2 thema
082 0 4 $a 519 $2 23
100 1 $a Pandolfi, Luciano. $e author. $0 (orcid)0000-0002-1497-2500 $1 https://orcid.org/0000-0002-1497-2500 $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1362043
245 1 0 $a Systems with Persistent Memory $h [electronic resource] : $b Controllability, Stability, Identification / $c by Luciano Pandolfi.
250 $a 1st ed. 2021.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a X, 356 p. 18 illus., 15 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Interdisciplinary Applied Mathematics, $x 2196-9973 ; $v 54
505 0 $a 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.
520 $a 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.
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Complex Systems. $3 888664
650 1 4 $a Systems Theory, Control. $3 669337
650 0 $a Functional analysis. $3 527706
650 0 $a System theory. $3 566168
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030802806
776 0 8 $i Printed edition: $z 9783030802820
776 0 8 $i Printed edition: $z 9783030802837
830 0 $a Interdisciplinary Applied Mathematics, $x 0939-6047 ; $v 19 $3 1253816
856 4 0 $u https://doi.org/10.1007/978-3-030-80281-3
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)