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math.DS2019★ 2 cited
A notion of equivalence for linear complementarity problems with application to the design of non-smooth bifurcations
Fernando Castaños, Félix Miranda-Villatoro, Alessio Franci
Many systems of interest to control engineering can be modeled by linear complementarity problems. We introduce a new notion of equivalence between linear complementarity problems…
math.DS2019★ 5 cited
Self-oscillations in an Alpha Stirling Engine: a bifurcation analysis
Dmitry Gromov, Fernando Castanos
We study a thermo-mechanical system comprised of an alpha Stirling engine and a flywheel from the perspective of dynamical systems theory. Thermodynamics establish a static relatio…
math.DS2019
Sliding Motions on SO(3), Sliding Subgroups
Gian C. Gomez Cortes, Fernando Castanos, Jorge Davila
We propose a sliding surface for systems on the Lie group . The sliding surface is shown to be a Lie subgroup. The reduced-order dynamics along the slidi…