An Introduction to Infinite-Dimensional Linear Systems Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Infinite-Dimensional Linear Systems Theory write by Ruth F. Curtain. This book was released on 2012-12-06. An Introduction to Infinite-Dimensional Linear Systems Theory available in PDF, EPUB and Kindle. Infinite dimensional systems is now an established area of research. Given the recent trend in systems theory and in applications towards a synthesis of time- and frequency-domain methods, there is a need for an introductory text which treats both state-space and frequency-domain aspects in an integrated fashion. The authors' primary aim is to write an introductory textbook for a course on infinite dimensional linear systems. An important consideration by the authors is that their book should be accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Consequently, all the mathematical background is summarized in an extensive appendix. For the majority of students, this would be their only acquaintance with infinite dimensional systems.
An Introduction to Infinite-Dimensional Analysis
An Introduction to Infinite-Dimensional Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Infinite-Dimensional Analysis write by Giuseppe Da Prato. This book was released on 2006-08-25. An Introduction to Infinite-Dimensional Analysis available in PDF, EPUB and Kindle. Based on well-known lectures given at Scuola Normale Superiore in Pisa, this book introduces analysis in a separable Hilbert space of infinite dimension. It starts from the definition of Gaussian measures in Hilbert spaces, concepts such as the Cameron-Martin formula, Brownian motion and Wiener integral are introduced in a simple way. These concepts are then used to illustrate basic stochastic dynamical systems and Markov semi-groups, paying attention to their long-time behavior.
Infinite Dimensional Linear Systems Theory
Infinite Dimensional Linear Systems Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Infinite Dimensional Linear Systems Theory write by Ruth F. Curtain. This book was released on 1978. Infinite Dimensional Linear Systems Theory available in PDF, EPUB and Kindle.
Infinite-Dimensional Dynamical Systems
Infinite-Dimensional Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Infinite-Dimensional Dynamical Systems write by James C. Robinson. This book was released on 2001-04-23. Infinite-Dimensional Dynamical Systems available in PDF, EPUB and Kindle. This book treats the theory of global attractors, a recent development in the theory of partial differential equations, in a way that also includes much of the traditional elements of the subject. As such it gives a quick but directed introduction to some fundamental concepts, and by the end proceeds to current research problems. Since the subject is relatively new, this is the first book to attempt to treat these various topics in a unified and didactic way. It is intended to be suitable for first year graduate students.
Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces
Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces write by Birgit Jacob. This book was released on 2012-06-13. Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces available in PDF, EPUB and Kindle. This book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems. The textbook starts with elementary known results, then progresses smoothly to advanced topics in current research. Many physical systems can be formulated using a Hamiltonian framework, leading to models described by ordinary or partial differential equations. For the purpose of control and for the interconnection of two or more Hamiltonian systems it is essential to take into account this interaction with the environment. This book is the first textbook on infinite-dimensional port-Hamiltonian systems. An abstract functional analytical approach is combined with the physical approach to Hamiltonian systems. This combined approach leads to easily verifiable conditions for well-posedness and stability. The book is accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Moreover, the theory is illustrated by many worked-out examples.
