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

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