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eess.SY2020
Generation of bounded invariants via stroboscopic set-valued maps: Application to the stability analysis of parametric time-periodic systems
Jawher Jerray, Laurent Fribourg
A method is given for generating a bounded invariant of a differential system with a given set of initial conditions around a point . This invariant has the form of a tube cen…
eess.SY2020
Robust optimal control using dynamic programming and guaranteed Euler's method
Jawher Jerray, Laurent Fribourg, Étienne André
Set-based integration methods allow to prove properties of differential systems, which take into account bounded disturbances. The systems (either time-discrete, time-continuous or…
eess.SY2020
Guaranteed phase synchronization of hybrid oscillators using symbolic Euler's method: The Brusselator and biped examples
Jawher Jerray, Laurent Fribourg, Étienne André
The phenomenon of phase synchronization was evidenced in the 17th century by Huygens while observing two pendulums of clocks leaning against the same wall. This phenomenon has more…