Extracting Governing Laws from Sample Path Data of Non-Gaussian Stochastic Dynamical Systems
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-022-02873-y
Abstract: Advances in data science are leading to new progresses in the analysis and understanding of complex dynamics for systems with experimental and observational data. With numerous physical phenomena exhibiting bursting, flights, hopping, and intermittent features,… read more here.
Keywords: stochastic dynamical; dynamical systems; extracting governing; laws sample ... See more keywords
Stability and Control Design of Stochastic Dynamical Systems with Impulses
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2021.04.130
Abstract: Abstract This paper is concerned with the stability and performance of hybrid stochastic dynamic systems (HSDS). The objective is to examine a general form of HSDS thereby providing sufficient conditions to guarantee bounded stability or… read more here.
Keywords: design stochastic; stochastic dynamical; control design; stability ... See more keywords
An end-to-end deep learning approach for extracting stochastic dynamical systems with α-stable Lévy noise
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0089832
Abstract: Recently, extracting data-driven governing laws of dynamical systems through deep learning frameworks has gained much attention in various fields. Moreover, a growing amount of research work tends to transfer deterministic dynamical systems to stochastic dynamical… read more here.
Keywords: end end; stochastic dynamical; deep learning; learning approach ... See more keywords
An Optimal Control Method to Compute the Most Likely Transition Path for Stochastic Dynamical Systems with Jumps
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DOI: 10.1063/5.0093924
Abstract: Many complex real world phenomena exhibit abrupt, intermittent, or jumping behaviors, which are more suitable to be described by stochastic differential equations under non-Gaussian Lévy noise. Among these complex phenomena, the most likely transition paths… read more here.
Keywords: likely transition; transition path; path stochastic; transition ... See more keywords
Consensus of Stochastic Dynamical Multiagent Systems in Directed Networks via PI Protocols.
Sign Up to like & getrecommendations! Published in 2021 at "IEEE transactions on neural networks and learning systems"
DOI: 10.1109/tnnls.2021.3080122
Abstract: With the rapid development of swarm intelligence, the consensus of multiagent systems (MASs) has attracted substantial attention due to its broad range of applications in the practical world. Inspired by the considerable gap between control… read more here.
Keywords: multiagent systems; consensus; directed networks; stochastic dynamical ... See more keywords
Periodic averaging method for impulsive stochastic dynamical systems driven by fractional Brownian motion under non-Lipschitz condition
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Difference Equations"
DOI: 10.1186/s13662-019-2466-9
Abstract: This paper presents the periodic averaging principle for impulsive stochastic dynamical systems driven by fractional Brownian motion (fBm). Under non-Lipschitz condition, we prove that the solutions to impulsive stochastic differential equations (ISDEs) with fBm can… read more here.
Keywords: stochastic dynamical; driven fractional; systems driven; dynamical systems ... See more keywords