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Published in 2025 at "Asian Journal of Control"
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…
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Keywords:
class stochastic;
time;
nonlinear delayed;
time stability ... See more keywords
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Published in 2024 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10625
Abstract: In this paper, we mainly study the effective dynamic behavior of a class of stochastic parabolic equations driven by Lévy noise with a fast oscillation, and the coefficients of the system are assumed to satisfy…
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Keywords:
equation;
class stochastic;
fast oscillation;
noise fast ... See more keywords
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Published in 2018 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.4021
Abstract: Summary In this paper, the global sampled-data output-feedback stabilization problem is considered for a class of stochastic nonlinear systems. First, based on output-feedback domination technique and emulation approach, a systematic design procedure for sampled-data output-feedback…
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Keywords:
output feedback;
sampled data;
output;
class stochastic ... See more keywords
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Published in 2021 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.5761
Abstract: This article considers the output‐feedback control problem for a class of stochastic high‐order nonlinear systems with time‐varying powers. In the control design process, by choosing proper upper and lower bounds for time‐varying powers, a state…
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Keywords:
output feedback;
class stochastic;
time varying;
varying powers ... See more keywords
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Published in 2018 at "Numerical Algorithms"
DOI: 10.1007/s11075-018-0526-y
Abstract: This paper provides a numerical method for solving a class of Itô stochastic delay differential equations (SDDEs). The method’s novelty is its use of the spectral collocation approach using Legendre polynomials for solving SDDEs. We…
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Keywords:
solving class;
method solving;
stochastic delay;
class stochastic ... See more keywords
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Published in 2021 at "Numerical Algorithms"
DOI: 10.1007/s11075-021-01110-z
Abstract: In this paper, we consider the sample average approximation (SAA) approach for a class of stochastic nonlinear complementarity problems (SNCPs) and study the corresponding convergence properties. We first investigate the convergence of the SAA counterparts…
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Keywords:
class stochastic;
sample average;
average approximation;
stage ... See more keywords
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Published in 2018 at "International Journal of Control, Automation and Systems"
DOI: 10.1007/s12555-017-0112-4
Abstract: This paper further studies the adaptive stabilization problem for a class of stochastic nonholonomic systems with time delays, unknown parameterization and control coefficients. By using input-state-scaling technique, backstepping recursive approach, and the parameter separation technique,…
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Keywords:
state;
stochastic nonholonomic;
adaptive state;
state feedback ... See more keywords
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Published in 2020 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2020.03.010
Abstract: Abstract In this paper, we propose the balanced Euler method of a class of stochastic Volterra integro-differential equations with non-globally Lipschitz continuous coefficients. The moment boundedness and strong convergence are shown. Moreover, the theoretical results…
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Keywords:
stochastic volterra;
balanced euler;
method class;
class stochastic ... See more keywords
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1
Published in 2023 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0137730
Abstract: The purpose of this paper is to consider the effective dynamic behavior of a class of stochastic weakly damped wave equations with a fast oscillation under the non-Lipschitz condition. We show that the slow component…
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Keywords:
damped wave;
class stochastic;
stochastic weakly;
weakly damped ... See more keywords
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Published in 2018 at "International Journal of Control"
DOI: 10.1080/00207179.2016.1278270
Abstract: ABSTRACT The problem of adaptive tracking is considered for a class of stochastic switched systems, in this paper. As preliminaries, the criterion of global asymptotical practical stability in probability is first presented by the aid…
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Keywords:
control;
switched systems;
adaptive tracking;
class stochastic ... See more keywords
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Published in 2024 at "International Journal of Control"
DOI: 10.1080/00207179.2024.2423210
Abstract: This paper investigates the problem of sampled-data control for a class of stochastic nonlinear systems with delays in the input and state. It is shown that under an upper-triangular linear growth condition, a linear memoryless…
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Keywords:
sampled data;
class stochastic;
nonlinear systems;
control ... See more keywords