Robust stabilization of nonlinear stochastic 2‐D systems: LaSalle‐type theorem approach
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.5016
Abstract: LaSalle theorem (also known as the LaSalle invariance principle) plays an essential role in the systems and control theory. Recently, it has been extensively studied and developed for various types of one‐dimensional (1‐D) systems including… read more here.
Keywords: lasalle type; theorem; type theorem; stochastic systems ... See more keywords
Probabilistic interpretation for solutions of fully nonlinear stochastic PDEs
Sign Up to like & getrecommendations! Published in 2018 at "Probability Theory and Related Fields"
DOI: 10.1007/s00440-018-0859-4
Abstract: In this article, we propose a wellposedness theory for a class of second order backward doubly stochastic differential equation (2BDSDE). We prove existence and uniqueness of the solution under a Lipschitz type assumption on the… read more here.
Keywords: nonlinear stochastic; fully nonlinear; stochastic pdes; probabilistic interpretation ... See more keywords
Output Tracking and Feedback Controller Design for Nonlinear Stochastic Time-Delay System
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Theoretical Physics"
DOI: 10.1007/s10773-020-04638-3
Abstract: This paper considers the design of output tracking and feedback controllers for nonlinear stochastic systems. The system status cannot be measured. The studied system contains nonlinear state functions, noise disturbances and time delays. We use… read more here.
Keywords: nonlinear stochastic; system; feedback controller; tracking feedback ... See more keywords
Observers Design for a Class of Nonlinear Stochastic Discrete-Time Systems
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Theoretical Physics"
DOI: 10.1007/s10773-021-04710-6
Abstract: This paper mainly studied the observer design of Lipschitz stochastic discrete system. For the first time, generalized Lipschitz conditions are introduced into the observer design of a class of nonlinear stochastic discrete systems. From this… read more here.
Keywords: design class; time; class nonlinear; observer design ... See more keywords
Strong Convergence of the Euler-Maruyama Method for Nonlinear Stochastic Convolution Itô-Volterra Integral Equations with Constant Delay
Sign Up to like & getrecommendations! Published in 2019 at "Methodology and Computing in Applied Probability"
DOI: 10.1007/s11009-019-09702-y
Abstract: This paper mainly focuses on the strong convergence of the Euler-Maruyama method for nonlinear stochastic convolution Itô-Volterra integral equations with constant delay. It is well known that the strong approximation of the Itô integral usually… read more here.
Keywords: integral equations; equations constant; volterra integral; stochastic convolution ... See more keywords
The TVICMs method for weak signal detection based on a nonlinear stochastic delay differential system
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Non-linear Mechanics"
DOI: 10.1016/j.ijnonlinmec.2020.103557
Abstract: Abstract A nonlinear stochastic delay differential system with symmetry SD oscillator is investigated to detect weak signal. Firstly, the stochastic Melnikov function and the chaos threshold are obtained by using the stochastic mean square criterion.… read more here.
Keywords: nonlinear stochastic; system; stochastic delay; weak signal ... See more keywords
Set-valued mode recognition-based Bayesian estimation for nonlinear stochastic systems with unknown sensor mode.
Sign Up to like & getrecommendations! Published in 2021 at "ISA transactions"
DOI: 10.1016/j.isatra.2021.05.023
Abstract: This paper proposes the problem of joint state estimation and mode recognition for nonlinear stochastic systems with unknown sensor mode. The considered sensor mode is represented by a random finite set, whose elements can be… read more here.
Keywords: nonlinear stochastic; estimation; mode; mode recognition ... See more keywords
Global-nonlinear stochastic dynamics of a class of two-state two-parameter non-isothermal continuous stirred tank reactors
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Process Control"
DOI: 10.1016/j.jprocont.2018.07.012
Abstract: Abstract The global-nonlinear stochastic dynamics of a class of two-state two-parameter continuous exothermic chemical reactors subjected to noise disturbances is studied with Fokker-Planck’s (FP’s) partial differential equation (PDE) theory. The dependency of the stochastic on… read more here.
Keywords: state; nonlinear stochastic; global nonlinear; stochastic dynamics ... See more keywords
Adaptive neural tracking control of nonlinear stochastic switched non-lower triangular systems with input saturation
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DOI: 10.1016/j.neucom.2019.06.055
Abstract: Abstract This paper focuses on the problem of a class of nonlinear stochastic switched non-lower triangular systems with input saturation. A novel adaptive neural tracking controller is developed by constructing the appropriately common Lyapunov function… read more here.
Keywords: non lower; input saturation; stochastic switched; lower triangular ... See more keywords
Nonlinear stochastic receding horizon control: stability, robustness and Monte Carlo methods for control approximation
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DOI: 10.1080/00207179.2017.1349340
Abstract: ABSTRACT This work considers the stability of nonlinear stochastic receding horizon control when the optimal controller is only computed approximately. A number of general classes of controller approximation error are analysed including deterministic and probabilistic… read more here.
Keywords: nonlinear stochastic; approximation; receding horizon; control ... See more keywords
Exponential consensus of nonlinear stochastic discrete-time multi-agent systems with time-varying delay via impulsive control
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2022.2079753
Abstract: This paper tackles the leader-following exponential consensus (LFEC) problem of nonlinear stochastic discrete-time multi-agent systems (DTMASs), which are subject to parameter uncertainties, stochastic disturbances and time-varying delay. An effective impulsive control strategy is utilised to… read more here.
Keywords: time; consensus; stochastic discrete; discrete time ... See more keywords