A Jurdjevic-Quinn theorem for stochastic differential systems under weak conditions

Q4 Engineering

Control and Cybernetics Pub Date : 2022-03-01 DOI:10.2478/candc-2022-0002

P. Florchinger

引用次数: 0

Abstract

Abstract The purpose of this paper is to provide sufficient conditions for the stabilizability of weak solutions of stochastic differential systems when both the drift and diffusion are affine in the control. This result extends the well–known theorem of Jurdjevic– Quinn (Jurdjevic and Quinn, 1978) to stochastic differential systems under weaker conditions on the system coefficients than those assumed in Florchinger (2002).

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弱条件下随机微分系统的Jurdjevic-Quinn定理

摘要本文的目的是当控制中漂移和扩散都是仿射时，为随机微分系统弱解的可镇定性提供充分条件。这一结果将众所周知的Jurdjevic–Quinn定理（Jurdje维奇和Quinn，1978）扩展到系统系数条件比Florchinger（2002）中假设的条件弱的随机微分系统。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Control and Cybernetics 工程技术-计算机：控制论

CiteScore

0.50

自引率

0.00%

发文量

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