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.
Infinite Dimensional Optimization and Control Theory
Infinite Dimensional Optimization and Control 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 Optimization and Control Theory write by Hector O. Fattorini. This book was released on 1999-03-28. Infinite Dimensional Optimization and Control Theory available in PDF, EPUB and Kindle. Treats optimal problems for systems described by ODEs and PDEs, using an approach that unifies finite and infinite dimensional nonlinear programming.
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.
Stability and Stabilization of Infinite Dimensional Systems with Applications
Stability and Stabilization of Infinite Dimensional Systems with Applications - 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 and Stabilization of Infinite Dimensional Systems with Applications write by Zheng-Hua Luo. This book was released on 2012-12-06. Stability and Stabilization of Infinite Dimensional Systems with Applications available in PDF, EPUB and Kindle. This book reports on recent achievements in stability and feedback stabilization of infinite systems. In particular emphasis is placed on second order partial differential equations, such as Euler-Bernoulli beam equations, which arise from vibration control of flexible robots arms and large space structures. Various control methods such as sensor feedback control and dynamic boundary control are applied to stabilize the equations. Many new theorems and methods are included in the book. Proof procedures of existing theorems are simplified, and detailed proofs have been given to most theorems. New results on semigroups and their stability are presented, and readers can learn several useful techniques for solving practical engineering problems. Until now, the recently obtained research results included in this book were unavailable in one volume. This self-contained book is an invaluable source of information for all those who are familiar with some basic theorems of functional analysis.
Robust Control of Infinite Dimensional Systems
Robust Control of 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 Robust Control of Infinite Dimensional Systems write by Ciprian Foias. This book was released on 1995-12. Robust Control of Infinite Dimensional Systems available in PDF, EPUB and Kindle. Since its inception, H( optimization theory has become the control methodology of choice in robust feedback analysis and design. This monograph presents an operator theoretic approach to the H( control for disturbed parameter systems, that is, systems which admit infinite dimensional state spaces.
