Quantitative local analysis of nonlinear systems
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Background reading
- ACC short course - Quantitative Local Analysis of Nonlinear Systems Using Sum-of-Squares Decompositions
Software
- SeDuMi - package to solve optimization problems over symmetric cones (used for SOS)
- OS X: download files from the web, start MATLAB in the SeDuMi directory and run 'install_sedumi'
- SOSAnalysis.zip - zip file with all of the files required for the demos
- Contents:
- sosaddpath.m- Script file to configure the MATLAB path for these packages.
- Multipoly - Package used to represent multivariate polynomials.
- Polysys - Package used to model, simulate, and analyze nonlinear systems with polynomial dynamics.
- Worstcase - Package to compute the induced gain of nonlinear systems using an iterative algorithm.
- SOSOpt - General SOS optimization utility.
- Other nonlinear analysis code - The rest of the routines discussed in the workshop.
- Within MATLAB, cd into the SOSAnalysis directory and run sosaddpath
Additional information