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Die Mathematica Applications Library

Mathematica hat sich in den vergangenen Jahren als unentbehrliches Werkzeug im Ingenieurwesen etabliert. Es bietet dem professionellen Anwender, durch seinen mächtigen und fortschrittlichen Funktionsumfang, eine unerreichte Flexibilität bei der Analyse, Modellierung und Visualisierung der während der täglichen Ingenieurarbeit anfallenden Daten. Im Sommer 1994 startete Wolfram Research die Veröffentlichung der Mathematica Anwendungs-Pakete, die dem Benutzer sofort einsetzbare Funktionen aus speziellen Anwendungsbereichen bieten. Dem Anwender wird durch diese Pakete der schrittweise Einstieg in die Thematik bis zum Expertenwissen leicht gemacht. Die Zahl der Zusatzpakete wurde seit dieser Zeit auf über 30 Zusatzpakete erweitert.

Ein Übersicht zu den Zusatzpaketen ist aktuell im INTERNET zu finden.

http://www.additive-net.de/software/mathematica/packages/mma.packages.shtml

Control System
1. Getting Started

Control System Professional is a collection of Mathematica programs that extend Mathematica to solve a wide range of control system problems. Both classical and modern approaches are supported for continuous-time (analog) and discrete-time (sampled) systems. This guide describes in detail the new data types introduced in Control System Professional and the new functions that operate on these data types. Also given are a number of examples of how to use the Control System Professional functions together with the rest of Mathematica. It is beyond the scope of this guide to address those innumerable control problems that could be solved simply with step-by-step application of the usual Mathematica functionality. Nor can the guide be considered an introduction to control systems theory. Although an attempt was made to put the new functions into the relevant control theory context, the guide is by no means a substitute for standard texts such as the ones listed in the References. 
The many illustrations, solved examples, and other features included should make it possible for the interested reader to tackle most of the problems just after reading the corresponding parts of this guide. However, the guide is definitely not an introduction to Mathematica itself. To gain the most from this application package, the reader is advised to consult the standard Mathematica reference by Stephen Wolfram, Mathematica: A System for Doing Mathematics by Computer, Second Edition (Addison-Wesley, 1991).

1.1 Using the Package for the First Time

Control System Professional is one of many available Mathematica applications and is normally installed in a separate directory in parallel to them. If this has been done at the installation stage, the application package should be visible to Mathematica without further effort on your part. Then, to make all the functionality of the application package available at once, you simply load Master.m package with, for instance, the Needs command

This makes all the functionality of the application available.

<<ControlSystems`

If you get a failure message at this stage, it is probably due to a nonstandard location of the application package on your system, and you will have to check that the directory enclosing the ControlSystems directory is included in your $Path variable. Commands such as  AppendTo[$Path, theDirectoryControlSystemsIsIn]  can be used to inform Mathematica of how to find the application. You may want to add this command to your init.m file to have it executed automatically at the outset of any of your Mathematica sessions. The installation card that came with Control System Professional contains the detailed instructions on the installation procedure.

1.2 Structure of the Application

Control System Professional consists of the following packages. The packages listed in the first part of the table typically correspond to separate sections of this guide and can be loaded into your Mathematica session independently (with or without prior loading of the Master.m package). The packages in the second part of the table are supplemental to the ones in the first.

Packages within Control System Professional.

Under MS-DOS and Microsoft Windows 3.x, the same file structure is preserved, but file names are truncated to eight characters plus an extension to match the limitations of the file system. Because the MS-DOS/Windows version is also used for OS/2 and Microsoft Windows NT, they inherit the truncated file names, although they can support long file names. 
Also included in Control System Professional is the Mathematica notebook Examples.ma, which contains an on-line version of all examples from this guide. Line-by-line execution of these examples may be a good way to get acquainted with the application package.