12 citations · 19 across the 10 of their papers we have counts for
12 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…
Synchronization of nonlinearly coupled networks of Chua oscillators
Petro Feketa, Alexander Schaum, Thomas Meurer +2
The paper develops new sufficient conditions for synchronization of a network of nonlinearly coupled Chua oscillators interconnected via the first state coordinate only. The no…
Almost ISS property for feedback connected systems
Petro Feketa, Humberto Stein Shiromoto, Sergey Dashkovskiy
Small-gain conditions used in analysis of feedback interconnections are contraction conditions which imply certain stability properties. Such conditions are applied to a finite or…
Example Demonstrating the Application of Small-gain and Density Propagation Conditions for Interconnections
Humberto Stein Shiromoto, Petro Feketa, Sergey Dashkovskiy
This work provides an example that motivates and illustrates theoretical results related to a combination of small-gain and density propagation conditions. Namely, in case the smal…
Input-to-state Stability of Impulsive Systems with Different Jump Maps
Sergey Dashkovskiy, Petro Feketa
The paper introduces sufficient conditions for input-to-state stability (ISS) of a class of impulsive systems with jump maps that depend on time. Such systems can naturally represe…
A combination of small-gain and density propagation inequalities for stability analysis of networked systems
Humberto Stein Shiromoto, Petro Feketa, Sergey Dashkovskiy
In this paper, the problem of stability analysis of a large-scale interconnection of nonlinear systems for which the small-gain condition does not hold globally is considered. A co…
Prolongation and stability of Zeno solutions to hybrid dynamical systems
Sergey Dashkovskiy, Petro Feketa
The paper proposes a framework for the construction of solutions to a hybrid dynamical system that exhibit Zeno behavior. A new approach that enables solution to be prolonged after…