12 citations · 14 across the 5 of their papers we have counts for
6 papers
Directed evolution effectively selects for DNA based physical reservoir computing networks capable of multiple tasks
Tanmay Pandey, Petro Feketa, Jan Steinkühler
DNA and other biopolymers are being investigated as new computing substrates and alternative to silicon-based digital computers. However, the established top-down design of biomole…
On the interpretation of Dirac pulses in differential equations for phase oscillators
Vladimir Klinshov, Leonhard Lücken
In this note we discuss the usage of the Dirac function in models of phase oscillators with pulsatile inputs. Many authors use a product of the delta function and the phase res…
Robust nonlinear observer design based on impulsive dissipativity
A. Schaum, P. Feketa, T. Meurer +1
The paper considers the design of a nonlinear dissipative impulsive observer based on non-periodic discrete-time measurements. Sufficient conditions are derived for (i) exponential…
Stability of cluster formations in adaptive Kuramoto networks
Petro Feketa, Alexander Schaum, Thomas Meurer
This paper studies stability properties of multi-cluster formations in Kuramoto networks with adaptive coupling. Sufficient conditions for the local asymptotic stability of the cor…
Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency
José L. Mancilla-Aguilar, Hernan Haimovich, Petro Feketa
We provide novel sufficient conditions for stability of nonlinear and time-varying impulsive systems. These conditions generalize, extend, and strengthen many existing results. Dif…
Synchronization and multi-cluster capabilities of oscillatory networks with adaptive coupling
Petro Feketa, Alexander Schaum, Thomas Meurer
We prove the existence of a multi-dimensional non-trivial invariant toroidal manifold for the Kuramoto network with adaptive coupling. The constructed invariant manifold correspond…