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Published in 2019 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-019-03429-0
Abstract: We study the scattering behavior of global solutions to stochastic nonlinear Schrödinger equations with linear multiplicative noise. In the case where the quadratic variation of the noise is globally finite and the nonlinearity is defocusing,…
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Keywords:
stochastic nonlinear;
nonlinear schr;
schr dinger;
dinger equations ... See more keywords
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Published in 2021 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-021-06971-6
Abstract: This note considers the adaptive tracking control problem for switched stochastic nonlinear systems with nonsymmetric dead-zone input and nonstrict-feedback structure. By combining fuzzy logic system, multiple stochastic Lyapunov functions and adaptive backstepping methods, a novel…
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Keywords:
stochastic nonlinear;
systems nonsymmetric;
feedback;
tracking control ... See more keywords
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Published in 2017 at "Science China Information Sciences"
DOI: 10.1007/s11432-017-9142-3
Abstract: The problem of decentralized adaptive output tracking control of a class of interconnected stochastic nonlinear systems is considered. In the control design, decentralized state observers and backstepping techniques are applied. To eliminate the influences of…
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Keywords:
stochastic nonlinear;
decentralized backstepping;
output tracking;
nonlinear systems ... See more keywords
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Published in 2017 at "International Journal of Automation and Computing"
DOI: 10.1007/s11633-015-0936-4
Abstract: This paper considers the output tracking problem for more general classes of stochastic nonlinear systems with unknown control coefficients and driven by noise of unknown covariance. By utilizing the radial basis function neural network approximation…
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Keywords:
stochastic nonlinear;
control;
unknown control;
output tracking ... See more keywords
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Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2019.1636969
Abstract: Abstract We present an unconstrained optimization reformulation for the stochastic nonlinear complementarity problem in this paper, which aims at minimizing an expected residual defined by the D-gap function. We discuss the existence of a solution…
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Keywords:
reformulation stochastic;
stochastic nonlinear;
nonlinear complementarity;
unconstrained optimization ... See more keywords
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Published in 2020 at "International Journal of Control"
DOI: 10.1080/00207179.2018.1540887
Abstract: ABSTRACT In this paper, we investigate a class of stochastic nonlinear fuzzy Cohen–Grossberg neural networks with feedback control and an unknown exogenous disturbance. By using the Lyapunov function, Itô's formula, Dynkin's formula, Comparison principle and…
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Keywords:
nonlinear fuzzy;
stochastic nonlinear;
grossberg neural;
control ... See more keywords
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Published in 2017 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2017.1316885
Abstract: ABSTRACT This paper studies the problem of output feedback stabilisation for a class of stochastic nonlinear time-delay systems with the unknown output function. For stochastic nonlinear time-delay systems, the maximal open sector Δ of output…
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Keywords:
stochastic nonlinear;
output feedback;
output;
nonlinear time ... See more keywords
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Published in 2017 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2017.1322156
Abstract: ABSTRACT This paper presents a solution to the optimal control problem for discrete-time stochastic nonlinear polynomial systems confused with white Poisson noises subject to a quadratic criterion. The solution is obtained in the following way:…
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Keywords:
stochastic nonlinear;
discrete time;
poisson noises;
controller ... See more keywords
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Published in 2019 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2019.1645233
Abstract: ABSTRACT In this study, we investigate the stochastic input-to-state stability (SISS) of impulsive switched stochastic nonlinear systems. In this model, the impulse jumps are component multiple maps that depend on time. Thus the model differs…
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Keywords:
stochastic nonlinear;
stochastic input;
impulsive switched;
nonlinear systems ... See more keywords
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Published in 2019 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2018.1486203
Abstract: Abstract We present the time-spatial regularity of the nonlocal stochastic convolution for Caputo-type time fractional nonlocal Ornstein–Ulenbeck equations by the generalized Mittag–Leffler functions and Mainardi function, and establish the existence and uniqueness of mild solutions…
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Keywords:
fractional space;
stochastic nonlinear;
time fractional;
time ... See more keywords
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Published in 2018 at "IEEE Access"
DOI: 10.1109/access.2018.2849511
Abstract: In this paper, a multi-dimensional Taylor network (MTN) tracking control scheme is proposed for a class of stochastic nonlinear systems with unknown input dead-zone. The MTNs are used to approximate the nonlinearities, and then, an…
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Keywords:
taylor network;
stochastic nonlinear;
tracking control;
multi dimensional ... See more keywords