Fundamental matrix solutions of piecewise smooth differential systems

Luca Dieci and Luciano Lopez

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 5, 932-953

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.

Keywords: Piecewise smooth dynamical systems; Filippov; Sliding modes; Fundamental matrix (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2011:i:5:p:932-953

DOI: 10.1016/j.matcom.2010.10.012

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