Optimal Control Theory for Infinite Dimensional Systems

Optimal Control Theory for Infinite Dimensional Systems
Author :
Publisher : Springer Science & Business Media
Total Pages : 462
Release :
ISBN-10 : 9781461242604
ISBN-13 : 1461242606
Rating : 4/5 (606 Downloads)

Book Synopsis Optimal Control Theory for Infinite Dimensional Systems by : Xungjing Li

Download or read book Optimal Control Theory for Infinite Dimensional Systems written by Xungjing Li and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Optimal Control Theory for Infinite Dimensional Systems Related Books

Optimal Control Theory for Infinite Dimensional Systems
Language: en
Pages: 462
Authors: Xungjing Li
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

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
Infinite Dimensional Optimization and Control Theory
Language: en
Pages: 828
Authors: Hector O. Fattorini
Categories: Computers
Type: BOOK - Published: 1999-03-28 - Publisher: Cambridge University Press

GET EBOOK

Treats optimal problems for systems described by ODEs and PDEs, using an approach that unifies finite and infinite dimensional nonlinear programming.
Stability and Stabilization of Infinite Dimensional Systems with Applications
Language: en
Pages: 412
Authors: Zheng-Hua Luo
Categories: Computers
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

This book reports on recent achievements in stability and feedback stabilization of infinite systems. In particular emphasis is placed on second order partial d
Stability of Finite and Infinite Dimensional Systems
Language: en
Pages: 386
Authors: Michael I. Gil'
Categories: Mathematics
Type: BOOK - Published: 1998-09-30 - Publisher: Springer Science & Business Media

GET EBOOK

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 a
Robust Control of Infinite Dimensional Systems
Language: en
Pages: 238
Authors: Ciprian Foias
Categories: Technology & Engineering
Type: BOOK - Published: 1995-12 - Publisher: Springer

GET EBOOK

Since its inception, H( optimization theory has become the control methodology of choice in robust feedback analysis and design. This monograph presents an oper