非局部条件下Hilfer分数阶随机微分方程的零可控性

IF 1.1 Q2 MATHEMATICS, APPLIED

Numerical Algebra Control and Optimization Pub Date : 2022-01-01 DOI:10.3934/naco.2022029

D. Chalishajar, K. Ravikumar, K. Ramkumar, A. Anguraj

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引用次数: 4

摘要

研究一类由分数阶布朗运动控制的非局部Hilfer分数阶随机微分方程。利用分数阶微积分、不动点理论和解算算子理论，研究了该随机设置的精确零可控性的新充分条件。导出的结果是新的，因为它推广了以前发表的几个结果。然而，用随机偏微分方程的实例证明了所得结果，说明了零可控性目前的应用特点。通过一个过滤器实例，说明了解析算子的实际应用。

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Null controllability of Hilfer fractional stochastic differential equations with nonlocal conditions

This paper assesses a class of nonlocal Hilfer fractional stochastic differential equations (NHFSDEs) governed by fractional Brownian motion (fBm). New sufficient condition of exact null controllability for this stochastic setting has been investigated using fractional calculus, fixed point theory and a theory of resolvent operator. The derived result is new because it generalizes several of previously published results. However, the obtained results are proven by an illustration using stochastic partial differential equations to demonstrate the present application characteristic of null controllability. A filter example is demonstrated to make use of resolvent operator in a practical way.

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来源期刊

Numerical Algebra Control and Optimization MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

期刊介绍： Numerical Algebra, Control and Optimization (NACO) aims at publishing original papers on any non-trivial interplay between control and optimization, and numerical techniques for their underlying linear and nonlinear algebraic systems. Topics of interest to NACO include the following: original research in theory, algorithms and applications of optimization; numerical methods for linear and nonlinear algebraic systems arising in modelling, control and optimisation; and original theoretical and applied research and development in the control of systems including all facets of control theory and its applications. In the application areas, special interests are on artificial intelligence and data sciences. The journal also welcomes expository submissions on subjects of current relevance to readers of the journal. The publication of papers in NACO is free of charge.