32 citations · 96 across the 34 of their papers we have counts for
Showing 2017 · math.DSShow all
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math.DS2017★ 1 cited
Dwell time for local stability of switched systems with application to non-spiking neuron models
Oleg Makarenkov, Anthony Phung
For switched systems that switch between distinct globally stable equilibria, we offer closed-form formulas that lock oscillations in the required neighborhood of the equilibria. M…
math.DS2017
Global stability of almost periodic solutions of monotone sweeping processes and their response to non-monotone perturbations
Mikhail Kamenskii, Oleg Makarenkov, Lakmi Niwanthi +1
We develop a theory which allows making qualitative conclusions about the dynamics of both monotone and non-monotone Moreau sweeping processes. Specifically, we first prove that an…
math.DS2017★ 1 cited
Dwell time for switched systems with multiple equilibria on a finite time-interval
Oleg Makarenkov, Anthony Phung
We describe the behavior of solutions of switched systems with multiple globally exponentially stable equilibria. We introduce an ideal attractor and show that the solutions of the…