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Название: Systems with Persistent Memory: Controllability, Stability, Identification
Автор: Luciano Pandolfi
Издательство: Springer
Серия: Interdisciplinary Applied Mathematics
Год: 2021
Страниц: 365
Язык: английский
Формат: pdf (true), epub
Размер: 23.8 MB
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.
Автор: Luciano Pandolfi
Издательство: Springer
Серия: Interdisciplinary Applied Mathematics
Год: 2021
Страниц: 365
Язык: английский
Формат: pdf (true), epub
Размер: 23.8 MB
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.