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Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7092
Abstract: This paper is devoted to studying the dynamics for stochastic Fitzhugh–Nagumo equations with general multiplicative noise on thin domains, where the noise is described by a general stochastic process instead of the usual Wiener process.…
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Keywords:
thin domains;
general multiplicative;
stochastic fitzhugh;
multiplicative noise ... See more keywords
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Published in 2018 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2018.11.119
Abstract: Abstract The passivity of discrete–time linear stochastic systems with multiplicative noise is considered, where the systems inputs have bounded anisotropy. Using first principles analysis applying completing the square arguments, it is proved that such systems…
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Keywords:
positive real;
stochastic systems;
real lemma;
multiplicative noise ... See more keywords
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Published in 2021 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0039187
Abstract: In this paper, we mainly study the long-time dynamical behaviors of 2D nonlocal stochastic Swift-Hohenberg equations with multiplicative noise from two perspectives. Firstly, by adopting the analytic semigroup theory, we prove the upper semi-continuity of…
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Keywords:
upper semi;
semi continuity;
swift hohenberg;
multiplicative noise ... See more keywords
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Published in 2023 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2023.2210568
Abstract: ABSTRACT In this paper, we present an innovative decentralised control framework, designed to address stochastic dynamic complex systems that are influenced by multiple multiplicative noise factors. Our advanced approach builds upon the foundation of conventional…
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Keywords:
noise;
fully probabilistic;
multiplicative noise;
decentralised fully ... See more keywords
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Published in 2021 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2020.3037046
Abstract: The linear quadratic regulator (LQR) problem has reemerged as an important theoretical benchmark for reinforcement learning-based control of complex dynamical systems with continuous state and action spaces. In contrast with nearly all recent work in…
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Keywords:
optimal controllers;
policy;
learning optimal;
multiplicative noise ... See more keywords
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Published in 2022 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2021.3096802
Abstract: Quasilinear control (QLC) theory provides a set of methods intended for the analysis and design of stochastic feedback systems with static nonlinearities. QLC leverages the method of stochastic linearization (SL), which linearizes the nonlinear functions…
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Keywords:
feedback systems;
multiplicative noise;
state multiplicative;
stochastic linearization ... See more keywords
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Published in 2022 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2021.3121208
Abstract: In this article, we study the mean-square stabilization of discrete-time multiplicative-noise stochastic systems under decentralized controllers. Two controllers are involved in the system where each controller has access to different information and one information set…
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Keywords:
decentralized controllers;
time multiplicative;
discrete time;
multiplicative noise ... See more keywords
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Published in 2018 at "IEEE Transactions on Applied Superconductivity"
DOI: 10.1109/tasc.2018.2841922
Abstract: Parallel graphic processing units have been employed for fast simulations of the switching dynamics of Josephson junctions subject to critical current fluctuations. Such a system is modeled by a nonequilibrium washboard model with multiplicative noise,…
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Keywords:
multiplicative noise;
simulation josephson;
parallel simulation;
josephson junctions ... See more keywords
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Published in 2022 at "IEEE Transactions on Control of Network Systems"
DOI: 10.1109/tcns.2022.3181552
Abstract: This article considers the decentralized linear–quadratic (LQ) optimal control problem for the multiplicative-noise stochastic systems in discrete time with asymmetric information. There exist two controllers in the system, and each controller has its own information…
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Keywords:
problem multiplicative;
open loop;
control problem;
multiplicative noise ... See more keywords
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Published in 2020 at "Mathematical Problems in Engineering"
DOI: 10.1155/2020/1952782
Abstract: This paper studies a new convex variational model for denoising and deblurring images with multiplicative noise. Considering the statistical property of the multiplicative noise following Nakagami distribution, the denoising model consists of a data fidelity…
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Keywords:
term;
convex variational;
multiplicative noise;
variational model ... See more keywords
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Published in 2022 at "Entropy"
DOI: 10.3390/e24101352
Abstract: We introduce an agent-based model for co-evolving opinions and social dynamics, under the influence of multiplicative noise. In this model, every agent is characterized by a position in a social space and a continuous opinion…
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Keywords:
opinion dynamics;
agent based;
multiplicative noise;
opinion ... See more keywords