Stochastic model predictive control-based countermeasure methodology for satellites against indirect kinetic cyber-attacks

Stochastic Growth Models for the Spreading of Fake News

“…As can be deduced from Figure 16, for large values of t, the ratio r(t) is greater than 1. Hence, in the presence of the same parameters and the same initial values, the variance of the birth process, with birth rate λ(t) given in Equation (19), is smaller than the variance of the lognormal diffusion process with infinitesimal moments (25). This leads to the conclusion that the considered birth process has less variability in the modeling of the rumor spreads.…”

“…In the following, we assume that the individual birth rate is fixed as specified in Equation (19). In this special case, λ(t) is a decreasing and convex function that approaches 0 as t → +∞, as shown in Figure 8.…”

“…Proposition 2. The linear birth process M(t) with transition rates (13) and with individual birth rate (19), with ξ(t) and C given, respectively, in ( 6) and (20), has conditional variance given by Var y (t) = (e (1+ε)t − 1)N(N − y)…”

“…The urgency of the matter has prompted various states, and also private companies, to invest in cybersecurity. In this context, a great deal of scientific research effort has been invested, especially in relation to the proposal of stochastic models with effective predictive capabilities (see, for instance, Abraham and Nair [16], Abimbola et al [17], Paul and Zhang [18], Alandihallaj et al [19]). In addition, the further need to optimize investments in cybersecurity also arises.…”

Understanding and Securing Unmanned Aerial Vehicle (UAV) Services: A Comprehensive Tutorial

“…Countermeasures for kinetic attacks attempt to enhance the drone's resilience against physical damage [112]. Towards this direction, the design of drones using durable materials and structures may inherently enhance protection from kinetic attacks, by minimizing the damage of its critical components.…”