Stabilization of stochastic nonlinear systems with multiplicative state sensing noise
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DOI: 10.1002/asjc.3567
Abstract: In this paper, we study the stabilization problem of stochastic nonlinear systems with multiplicative state noise. A key obstacle arises when sensor faults are contaminated by multiplicative white noise, rendering the measured values inherently nondifferentiable… read more here.
Keywords: nonlinear systems; systems multiplicative; control; multiplicative state ... See more keywords
Adaptive RL control based on projection operator for stochastic nonlinear systems with full state constraints and unmodeled dynamics
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DOI: 10.1002/asjc.3778
Abstract: In this paper, the tracking control problem of adaptive neural network (NN) reinforcement learning (RL) is investigated for continuous time stochastic nonlinear systems with full state constraints and unmodeled dynamics. First, a state observer is… read more here.
Keywords: full state; nonlinear systems; control; systems full ... See more keywords
On the stochastic finite (fixed)‐time stability for a class of stochastic nonlinear delayed systems
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DOI: 10.1002/asjc.3870
Abstract: By developing a new approach and technology, we obtain several novel stochastic finite‐time stability (SFTS) criteria for a class of stochastic nonlinear delayed systems (SNDSs). Meanwhile, we find that when the noise term satisfies certain… read more here.
Keywords: class stochastic; time; nonlinear delayed; time stability ... See more keywords
Decentralized adaptive control of large‐scale time‐varying stochastic nonlinear systems with unknown covariance
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DOI: 10.1002/rnc.7461
Abstract: In this paper, a novel decentralized adaptive state‐feedback design method is proposed for large‐scale stochastic nonlinear systems. Different from the existing results, we consider more practical and more general systems, that is, systems with both… read more here.
Keywords: stochastic nonlinear; decentralized adaptive; covariance; time varying ... See more keywords
Scattering for Stochastic Nonlinear Schrödinger Equations
Sign Up to like & getrecommendations! 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,… read more here.
Keywords: stochastic nonlinear; nonlinear schr; schr dinger; dinger equations ... See more keywords
Adaptive fuzzy tracking control for nonstrict-feedback switched stochastic nonlinear systems with nonsymmetric dead-zone input: a MDADT switching approach
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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… read more here.
Keywords: stochastic nonlinear; systems nonsymmetric; feedback; tracking control ... See more keywords
Decentralized backstepping adaptive output tracking of large-scale stochastic nonlinear systems
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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… read more here.
Keywords: stochastic nonlinear; decentralized backstepping; output tracking; nonlinear systems ... See more keywords
NN-based output tracking for more general stochastic nonlinear systems with unknown control coefficients
Sign Up to like & getrecommendations! 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… read more here.
Keywords: stochastic nonlinear; control; unknown control; output tracking ... See more keywords
From stochastic Zakharov system to multiplicative stochastic nonlinear Schrödinger equation
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DOI: 10.1007/s40072-025-00395-8
Abstract: We study the convergence of a Zakharov system driven by a time white noise, colored in space, to a multiplicative stochastic nonlinear Schr{\"o}dinger equation, as the ion-sound speed tends to infinity. In the absence of… read more here.
Keywords: multiplicative stochastic; zakharov; zakharov system; stochastic nonlinear ... See more keywords
Unconstrained optimization reformulation for stochastic nonlinear complementarity problems
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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… read more here.
Keywords: reformulation stochastic; stochastic nonlinear; nonlinear complementarity; unconstrained optimization ... See more keywords
Input-to-state stability of stochastic nonlinear fuzzy Cohen–Grossberg neural networks with the event-triggered control
Sign Up to like & getrecommendations! 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… read more here.
Keywords: nonlinear fuzzy; stochastic nonlinear; grossberg neural; control ... See more keywords