Higher order numerical approximation of switching systems

L. Grüne, P. E. Kloeden: Higher order numerical approximation of switching systems
Systems & Control Letters 55, 746 - 754, 2006

Smart-Link: http://www.elsevier.com/locate/sysconle
DOI: 10.1016/j.sysconle.2006.03.002
Keywords: switching systems; affine control systems; Taylor numerical schemes; derivative free schemes; commutative switching systems; multiple switching control integrals
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Abstract:

Higher order numerical schemes for affine nonlinear control systems developed before by the authors are adapted to switching systems with prescribed switching times. In addition the calculation of the required multiple switching control integrals is discussed. These schemes are particularly useful in situations involving very rapid switching.

 

MAPLE and MATLAB Programs, see the paper and the comments in the files for a description. The file 'teststaylor.m' contains the examples from the  paper: (ZIP-File)

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