Path-Wise Bounds and iISS of Nonlinear Systems Exposed to Global Stochastic Noise
Sign Up to like & getrecommendations! Published in 2017 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2017.08.1505
Abstract: Abstract This paper peruses path-wise bounds, integral input-to-state stability and integral noise-to-state stability for stochastic nonlinear systems and proposes their Lyapunov-type characterizations. The characterizations are utilized to develop small-gain criteria to verify stability of interconnected… read more here.
Keywords: stochastic noise; nonlinear systems; path wise; wise bounds ... See more keywords
Analysis of Stochastic Noise of Blood-Glucose Dynamics
Sign Up to like & getrecommendations! Published in 2017 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2017.08.2261
Abstract: Abstract Introduction of the stochastic noise in the modelling of blood-glucose dynamics becoming more and more acceptable because of the high complexity of the physiological processes. The representation of the stochastic noise term in the… read more here.
Keywords: stochastic noise; glucose dynamics; term; blood glucose ... See more keywords
Robust H∞ filtering and control for a class of linear systems with fractional stochastic noise
Sign Up to like & getrecommendations! Published in 2019 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2019.04.194
Abstract: Abstract In this paper, a class of linear stochastic systems driven by fractional Brownian motion are investigated. The fractional infinitesimal operator and stability criterion based on the Lyapunov approach for the systems with fractional stochastic… read more here.
Keywords: systems fractional; robust filtering; stochastic noise; fractional stochastic ... See more keywords
Stabilization of nonlinear systems via aperiodic intermittent stochastic noise driven by G-Brownian motion with application to epidemic models
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Difference Equations"
DOI: 10.1186/s13662-020-03120-y
Abstract: To stabilize a nonlinear system d x ( t ) = f ( t , x ( t ) ) d t $dx(t)=f(t,x(t))\,dt$ , we stochastically perturb the deterministic model by using two types of… read more here.
Keywords: stochastic noise; intermittent stochastic; aperiodic intermittent; noise driven ... See more keywords