The influence of bounded noise and time delay on the sub–threshold signal transmission in
FitzHugh–Nagumo neuronal networks is studied in this paper. It is found that the signal …

This paper proposes two distributed state estimation protocols for static linear cyber–
physical systems under Byzantine links/nodes caused by adversarial attacks. First, a basic …

Existence and uniqueness theorems are given for RODEs under classical and Carathéodory
assumptions. In the latter case the measurability of solutions is also established. Conditions …

Introduction Italy became the second epicenter of the novel coronavirus disease 2019
(COVID-19) pandemic after China, surpassing by far China's death toll. The disease swept …

Stochastic processes and stochastic calculus have been used extensively for data analysis
in a wide range of scientific disciplines. They provide fundamental tools for the construction …

We consider the problem of reconstructing a function from a finite set of noise-corrupted
samples. Two kernel algorithms are analyzed, namely kernel ridge regression and ɛ …

Sustained oscillations observed in power systems can damage equipment, degrade the
power quality and increase the risks of cascading blackouts. There are several mechanisms …

Neurons can detect weak target signals from complex background signals through
stochastic resonance (SR) and vibrational resonance (VR) mechanisms. However, random …

The sine-Wiener noise, as one new type of bounded noise and a natural tool to model
fluctuations in dynamical systems, has been applied to problems in a variety of areas …

We study the effects of multiplicative and additive cross-correlated sine-Wiener (CCSW)
noises on the performance of sub-threshold periodic signal detection in the FitzHugh …