Global well‐posedness for the stochastic non‐Newtonian fluid equations and convergence to the Navier‐Stokes equations
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.6827
Abstract: I will deliver my talk in two sessions. The first part contains motivation and preliminaries about stochastic partial differential equations. The existence of global pathwise solutions for the stochastic non-Newtonian incompressible fluid equations in space… read more here.
Keywords: fluid equations; stochastic non; stokes equations; non newtonian ... See more keywords
Periodic Solution for a Stochastic Non-autonomous Predator-Prey Model with Holling II Functional Response
Sign Up to like & getrecommendations! Published in 2019 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-018-0205-y
Abstract: A biological population may be subjected to stochastic disturbance and exhibit periodicity. In this paper, a stochastic non-autonomous predator-prey system with Holling II functional response is proposed, and the existence of a unique positive solution… read more here.
Keywords: autonomous predator; predator prey; stochastic non; non autonomous ... See more keywords
Resolving learning rates adaptively by locating stochastic non-negative associated gradient projection points using line searches
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Global Optimization"
DOI: 10.1007/s10898-020-00921-z
Abstract: Learning rates in stochastic neural network training are currently determined a priori to training, using expensive manual or automated iterative tuning. Attempts to resolve learning rates adaptively, using line searches, have proven computationally demanding. Reducing… read more here.
Keywords: rates adaptively; line; learning rates; line searches ... See more keywords
Energy-based stabilisation and H∞ robust stabilisation of stochastic non-linear systems
Sign Up to like & getrecommendations! Published in 2018 at "Iet Control Theory and Applications"
DOI: 10.1049/iet-cta.2017.0392
Abstract: This study proposes a constructive stabilisation and H ∞ robust controller design method for stochastic non-linear systems from a novel dissipation analysis and energy point of view. First, the authors propose a sufficient condition for… read more here.
Keywords: energy; stabilisation; stochastic non; non linear ... See more keywords
Adaptive tracking control for a class of stochastic non‐linear systems with input saturation constraint using multi‐dimensional Taylor network
Sign Up to like & getrecommendations! Published in 2020 at "Iet Control Theory and Applications"
DOI: 10.1049/iet-cta.2019.0934
Abstract: The randomness and input saturation increase computational complexity and impede the tracking performance of stochastic non-linear systems, therefore, it is necessary to build a simple but effective controller. Based on this, a multi-dimensional Taylor network… read more here.
Keywords: input saturation; control; stochastic non; non linear ... See more keywords
Probability Analysis of a Stochastic Non-Autonomous SIQRC Model with Inference
Sign Up to like & getrecommendations! Published in 2023 at "Mathematics"
DOI: 10.3390/math11081806
Abstract: When an individual with confirmed or suspected COVID-19 is quarantined or isolated, the virus can linger for up to an hour in the air. We developed a mathematical model for COVID-19 by adding the point… read more here.
Keywords: stochastic non; covid; analysis stochastic; probability analysis ... See more keywords