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Elsevier, Mathematics and Computers in Simulation, 5(81), p. 932-953, 2011

DOI: 10.1016/j.matcom.2010.10.012

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Fundamental matrix solutions of piecewise smooth differential systems

Journal article published in 2011 by Luca Dieci, Luciano Lopez ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

We consider the fundamental matrix solution associated to piecewise smooth differential systems of Filippov type, in which the vector field varies discontinuously as solution trajectories reach one or more surfaces. We review the cases of transversal intersection and of sliding motion on one surface. We also consider the case when sliding motion takes place on the intersection of two or more surfaces. Numerical results are also given.