Energy determines multiple stability in time-delayed systems
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-020-06057-9
Abstract: Infinite dimensions always challenge the analysis of multiple stability in nonlinear time-delayed systems, as the computation and visualization of conventional basin of attraction are hampered by the increase in systems’ dimensions. To address this issue,… read more here.
Keywords: multiple stability; delayed systems; time delayed; energy ... See more keywords
Spatiotemporal representation of long-delayed systems: An alternative approach.
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review E"
DOI: 10.1103/physreve.102.052217
Abstract: Dynamical systems with long-delay feedback can exhibit complicated temporal phenomena, which once reorganized in a two-dimensional space are reminiscent of spatiotemporal behavior. In this framework, a normal forms description has been developed to reproduce the… read more here.
Keywords: long delayed; spatiotemporal representation; alternative approach; representation long ... See more keywords
Antipersistent random walks in time-delayed systems.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.105.064212
Abstract: We show that the occurrence of chaotic diffusion in a typical class of time-delayed systems with linear instantaneous and nonlinear delayed term can be well described by an antipersistent random walk. We numerically investigate the… read more here.
Keywords: random walks; antipersistent random; delayed systems; walks time ... See more keywords
Conservative Solitons and Reversibility in Time Delayed Systems.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.128.083901
Abstract: Time delayed dynamical systems have proven to be a fertile framework for the study of physical phenomena. In natural sciences, their uses have been limited to the study of dissipative dynamics. In this Letter, we… read more here.
Keywords: time; solitons reversibility; time delayed; reversibility time ... See more keywords
Linear–Quadratic Mean-Field Game for Stochastic Delayed Systems
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2018.2798807
Abstract: This paper studies the linear–quadratic mean-field game (MFG) for a class of stochastic delayed systems. We consider a large-population system, where the dynamics of each agent is modeled by a stochastic differential delayed equation. The… read more here.
Keywords: quadratic mean; stochastic delayed; mean field; field game ... See more keywords
A Comprehensive Expectation Identification Framework for Multirate Time-Delayed Systems
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Industrial Informatics"
DOI: 10.1109/tii.2022.3194656
Abstract: The expectation maximization (EM) algorithm has been extensively used to solve system identification problems with hidden variables. It needs to calculate a derivative equation and perform a matrix inversion in the EM-M step. The equations… read more here.
Keywords: comprehensive expectation; algorithm; expectation; delayed systems ... See more keywords