O. Staffans – Well-Posed Linear Systems
983 ₽
Автор: O. Staffans
Название книги: Well-Posed Linear Systems
Формат: PDF
Жанр: Математика
Страницы: 796
Качество: Изначально компьютерное, E-book
Many infinite-dimensional linear systems can be modelled in a Hilbert space setting. Others, such as those dealing with heat transfer or population dynamics, need to be set more generally in Banach spaces. This is the first book dealing with well-posed infinite-dimensional linear systems with an input, a state, and an output in a Hilbert or Banach space setting. It is also the first to describe the class of non-well-posed systems induced by system nodes. The author shows how standard finite-dimensional results from systems theory can be extended to these more general classes of systems, and complements them with new results which have no finite-dimensional counterpart. Much of the material presented is original, and many results have never appeared in book form before. A comprehensive bibliography rounds off this work which will be indispensable to all working in systems theory, operator theory, delay equations and partial differential equations.
Описание
Well-Posed Linear Systems — монография, посвященная строгой математической теории линейных систем, в которой автор исследует условия корректной (well-posed) постановки задач для бесконечномерных динамических систем.
Книга систематически излагает современный подход к линейным системам, опираясь на теорию полугрупп, операторные методы и функциональный анализ. Staffans уделяет особое внимание понятию «well-posedness», входам-выходам, устойчивости, регуляризации и взаимосвязи между различными представлениями систем — от дифференциальных уравнений в гильбертовых пространствах до передаточных функций.
- специалистам по функциональному анализу и теории операторов в бесконечномерных пространствах
- исследователям и аспирантам, работающим в области систем управления и математической теории управления
- математикам, интересующимся строгой теорией линейных динамических систем
- инженерам-теоретикам, которым нужна глубокая математическая основа для сложных распределенных систем
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