Description: Optimal Control Theory for Infinite Dimensional Systems, Paperback by Li, Xungjing; Yong, Jiongmin, ISBN 146128712X, ISBN-13 9781461287124, Brand New, Free shipping in the US 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.
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Book Title: Optimal Control Theory for Infinite Dimensional Systems
Number of Pages: Xii, 450 Pages
Language: English
Publication Name: Optimal Control Theory for Infinite Dimensional Systems
Publisher: Birkhäuser Boston
Publication Year: 2011
Item Height: 0.4 in
Subject: System Theory, Applied
Item Weight: 24.8 Oz
Type: Textbook
Subject Area: Mathematics, Science
Item Length: 9.3 in
Author: Xungjing Li, Jiongmin Yong
Item Width: 6.1 in
Series: Systems and Control: Foundations and Applications Ser.
Format: Trade Paperback