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A Stability Analysis Method for Non-linear Systems
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0208-415
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1996-11-19
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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.
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non-linear systems, Liapunov function, variable gradient method, stability
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| nl_stab.txt (12.8 KB) - Text file | | nl_stab.nb (54.7 KB) - Mathematica Notebook | | vgrad.m (2.6 KB) - Mathematica Package |
Files specific to Mathematica 2.2 version:
| | nl_stab.ma (40.6 KB) - Mathematica Notebook 2.2 or older |
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