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.
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.
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.
Optimal Control Theory for Infinite Dimensional Systems
Optimal Control Theory for Infinite Dimensional 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 Optimal Control Theory for Infinite Dimensional Systems write by Xungjing Li. This book was released on 2012-12-06. Optimal Control Theory for Infinite Dimensional Systems available in PDF, EPUB and Kindle. Infinite dimensional systems can be used to describe many phenomena in the real world. As is well known, heat conduction, properties of elastic plastic material, fluid dynamics, diffusion-reaction processes, etc., all lie within this area. The object that we are studying (temperature, displace ment, concentration, velocity, etc.) is usually referred to as the state. We are interested in the case where the state satisfies proper differential equa tions that are derived from certain physical laws, such as Newton's law, Fourier's law etc. The space in which the state exists is called the state space, and the equation that the state satisfies is called the state equation. By an infinite dimensional system we mean one whose corresponding state space is infinite dimensional. In particular, we are interested in the case where the state equation is one of the following types: partial differential equation, functional differential equation, integro-differential equation, or abstract evolution equation. The case in which the state equation is being a stochastic differential equation is also an infinite dimensional problem, but we will not discuss such a case in this book.
Stability of Finite and Infinite Dimensional Systems
Stability of Finite and Infinite Dimensional 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 Stability of Finite and Infinite Dimensional Systems write by Michael I. Gil'. This book was released on 1998-09-30. Stability of Finite and Infinite Dimensional Systems available in PDF, EPUB and Kindle. The aim of Stability of Finite and Infinite Dimensional Systems is to provide new tools for specialists in control system theory, stability theory of ordinary and partial differential equations, and differential-delay equations. Stability of Finite and Infinite Dimensional Systems is the first book that gives a systematic exposition of the approach to stability analysis which is based on estimates for matrix-valued and operator-valued functions, allowing us to investigate various classes of finite and infinite dimensional systems from the unified viewpoint. This book contains solutions to the problems connected with the Aizerman and generalized Aizerman conjectures and presents fundamental results by A. Yu. Levin for the stability of nonautonomous systems having variable real characteristic roots. Stability of Finite and Infinite Dimensional Systems is intended not only for specialists in stability theory, but for anyone interested in various applications who has had at least a first-year graduate-level course in analysis.
