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A Stability Analysis Method for Non-linear Systems
Author

Jay A. Oplinger
Old MathSource #

0208-415
Revision date

1996-11-19
Description

Liapunov functions allow the determination of stability for non- linear systems without the need to find exact solutions. The Variable Gradient Method provides a systematic approach to determining a suitable Liapunov function. This package automates the steps involved in generating a Liapunov function using the Variable Gradient Method. The notebook provides an overview of the theory behind non-linear stability analysis and a discussion of how to interact with the package, as well as some examples.
Subjects

*Engineering > Control Theory
*Mathematics > Calculus and Analysis > Dynamical Systems
Keywords

non-linear systems, Liapunov function, variable gradient method, stability
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nl_stab.txt (12.8 KB) - Text file
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nl_stab.nb (54.7 KB) - Mathematica Notebook
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vgrad.m (2.6 KB) - Mathematica Package

Files specific to Mathematica 2.2 version:
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nl_stab.ma (40.6 KB) - Mathematica Notebook 2.2 or older