Fundamental matrix solutions of piecewise smooth differential systems

Authors:
Luca Dieci;Luciano Lopez
Affiliations:
School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA;Dipartimento di Matematica, Universití degli Studi di Bari, Via Orabona 4, 70125, Italy
Venue:
Mathematics and Computers in Simulation
Year:
2011

Citing 2
Cited 2

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Sliding Motion in Filippov Differential Systems: Theoretical Results and a Computational Approach

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Original article: Rosenbrock-type methods applied to discontinuous differential systems

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Abstract

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.