Systems & Control

Foundations & Applications

By: Xungjing Li, Jiongmin Yong

Write A Review

Hardcover | 22 December 1994

At a Glance

Hardcover
468 Pages

Dimensions(cm)
24.77 x 16.51 x 2.54

Hardcover

$329.00

or 4 interest-free payments of $82.25 with

Ships in 5 to 7 business days

Infinite dimensional systems can be used to describe many physical phenomena in the real world. Well-known examples are heat conduction, vibration of elastic material, diffusion-reaction processes, population systems and others. Thus, the optimal control theory for infinite dimensional systems has a wide range of applications in engineering, economics and some other fields. On the other hand, this theory has its own mathematical interests since it is regarded as a generalization for the classical calculus of variations and it generates many interesting mathematical questions. The Pontryagin maximum principle, the Bellman dynamic programming method and the Kalman optimal linear quadratic regulator theory are regarded as the three milestones of modern (finite dimensional) control theory. Since the 1960s, the corresponding theory for infinite dimensional systems has also been developed. The essential difficulties for the infinite dimensional theory come from two aspects: the unboundedness of the differential operator or the generator of the strongly continuous semigroup and the lack of the local compactness of the underlying spaces. The purpose of this book is to introduce optimal control theory for infinite dimensional systems. The authors present the existence theory for optimal control problems. Some applications are also included in this volume.

Industry Reviews

"This book goes plenty of new ways, which should be interesting also for the expert on this topic...this book is an excellent matured presentation of the modern subject 'Optimal processes' being also very clearly arranged in its typography."
--ZAA

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Science Physics Classical Mathematics Dynamics & Statics Engineering & Technology Mechanical Engineering & Materials Materials Science Mechanics of Solids Dynamics & Vibration Mathematics Optimisation

Reference, Information & Interdisciplinary Subjects Research & Information Information theory Cybernetics & Systems Theory Calculus & Mathematical Analysis Applied Mathematics Probability & Statistics

Preface
Control Problems in Infinite Dimensions	p. 1
Mathematical Preliminaries	p. 24
Existence Theory of Optimal Controls	p. 81
Necessary Conditions for Optimal Controls - Abstract Evolution Equations	p. 130
Necessary Conditions for Optimal Controls - Elliptic Partial Differential Equations	p. 168
Dynamic Programming Method for Evolution Systems	p. 223
Controllability and Time Optimal Control	p. 274
Optimal Switching and Impulse Controls	p. 319
Linear Quadratic Optimal Control Problems	p. 361
References	p. 419
Index	p. 443
Table of Contents provided by Blackwell. All Rights Reserved.

Systems & Control

Foundations & Applications

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Cybernetics & Systems Theory

Psycho-Cybernetics (Updated and Expanded)

Psycho-cybernetics

Explainable AI (XAI) for Sustainable Development

Trends and Applications

Interactions

Stability and Organization in Biological and Artificial Intelligent Organisms

Modelling of Virtual Worlds Using the Internet of Things

Intelligent Data-Driven Systems and Artificial Intelligence

Novel Sensing for Robotics and Drones

Smart Sensors, Measurement and Instrumentation

The Laws of Thought

The Quest for a Mathematical Theory of the Mind

Psycho-Cybernetics 365

Thrive and Grow Every Day of the Year

Thinking in Systems

A Primer

This Is Chaos: Embracing the Future of Magic

15 Essays on Chaos Magic for Modern Practitioners

Intelligent Manufacturing Systems

Digitalization of Industrial Production

Quantum Artificial Intelligence

Technologies, Algorithms and Programming

Handbook of Systems Thinking Methods

An Introduction to Systems Biology

Design Principles of Biological Circuits

Leveraging Computer Vision to Biometric Applications

Chapman & Hall/Distributed Computing and Intelligent Data Analytics Series

Functor and Tensor Categories, Models, and Systems

Satellite Conference of the 9th European Congress of Mathematics, Santiago de Compostela, Spain, June 3-7, 2024, Invited and Selected Contributions

Internet of Things and Its Applications

Select Proceedings of ICIA 2024

Proceedings of the 3rd International Conference on Mechanical System Dynamics, Volume 2

ICMSD2025

Signal Processing, Telecommunication & Embedded Systems: Automation and Sustainability Applications

Proceedings of Tenth International Conference on Microelectronics Electromagnetics and Telecommunications (ICMEET 2025), Volume 4

Attacks and Defenses for the Internet-of-Things

8th International Conference, ADIoT 2025, Changzhou, China, November 14â"16, 2025, Proceedings

Evolution in Signal Processing and Telecommunication Networks

Proceedings of Tenth International Conference on Microelectronics Electromagnetics and Telecommunications (ICMEET 2025), Volume 2

Scientific Machine Learning with Engineering Applications

Studies in Systems, Decision and Control

Quantum Chaos and Disorder

An Introduction with Sample Programs and Exercises

How Collaborations Succeed

Automation, Collaboration, & E-Services

Smart and Connected Health

Applications and Real-World Use Cases

This product is categorised by