Overview

The field of discrete event systems has emerged to provide a formal treatment of many of the man-made systems such as manufacturing systems, communica­ tion networks. automated traffic systems, database management systems, and computer systems that are event-driven, highly complex, and not amenable to the classical treatments based on differential or difference equations. Discrete event systems is a growing field that utilizes many interesting mathematical models and techniques. In this book we focus on a high level treatment of discrete event systems. where the order of events. rather than their occurrence times, is the principal concern. Such treatment is needed to guarantee that the system under study meets desired logical goals. In this framework, dis­ crete event systems are modeled by formal languages or, equivalently, by state machines. The field of logical discrete event systems is an interdisciplinary field-it in­ cludes ideas from computer science, control theory, and operations research. Our goal is to bring together in one book the relevant techniques from these fields. This is the first book of this kind, and our hope is that it will be useful to professionals in the area of discrete event systems since most of the material presented has appeared previously only in journals. The book is also designed for a graduate level course on logical discrete event systems. It contains all the necessary background material in formal language theory and lattice the­ ory. The only prerequisite is some degree of ""mathematical maturity"".

Full Product Details

Author:   Ratnesh Kumar ,  Vijay K. Garg
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1995
Volume:   300
Dimensions:   Width: 15.50cm , Height: 0.90cm , Length: 23.50cm
Weight:   0.254kg
ISBN:  

9781461359319

ISBN 10:   1461359317
Pages:   143
Publication Date:   03 October 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1 Introduction to Formal Language Theory.- 1.1 Introduction.- 1.2 Languages.- 1.3 State Machines.- 1.4 Regular Languages.- 1.5 Non-Regular Languages.- 1.6 Exercises.- 1.7 Bibliographic Remarks.- 2 Introduction to Lattice Theory.- 2.1 Partial Order and Lattice.- 2.2 Extremal Fixed Points.- 2.3 Dual, Co-Dual, Inverse, and Converse Operations.- 2.4 Extremal Solutions of Inequations.- 2.5 Remark on Inverse Operation.- 2.6 Exercises.- 2.7 Bibliographic Remarks.- 3 Control under Complete Observation.- 3.1 Introduction.- 3.2 Centralized Control.- 3.3 Modular Control.- 3.4 Exercises.- 3.5 Bibliographic Remarks.- 4 Control under Partial Observation.- 4.1 Introduction.- 4.2 Centralized Control.- 4.3 Modular Control.- 4.4 Decentralized Control.- 4.5 Exercises.- 4.6 Bibliographic Remarks.- 5 Control of Non-Terminating Behavior.- 5.1 Introduction.- 5.2 Buchi Machine as Acceptor for ?-languages.- 5.3 ?-Controllability.- 5.4 Exercises.- 5.5 Bibliographic Remarks.- References.- Index 141.

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