变时滞反馈控制的混合中立型随机延迟微分方程的稳定性  

STABILIZATION OF THE HYBRID NEUTRAL STOCHASTIC DIFFERENTIAL EQUATIONS CONTROLLED BY THE TIME-VARYING DELAY FEEDBACK

作　　者：周之薇 宋瑞丽[1] ZHOU Zhi-wei;SONG Rui-li(Nanjing University of Finance and Economics,Nanjing,Jiangsu 210023,China)

机构地区：[1]南京财经大学应用数学学院,江苏南京210023

出　　处：《井冈山大学学报（自然科学版）》2022年第3期6-14,共9页Journal of Jinggangshan University (Natural Science)

基　　金：国家自然科学基金项目(61773217)。

摘　　要：研究了变时滞反馈控制的具有时变延迟的高度非线性混合中立型随机微分方程(NSDDE)的稳定性。通过Lyapunov函数方法研究了该随机系统L^(P)的渐近稳定性和H_(∞)稳定性。对比已有的科研成果,该研究的主要贡献是将反馈控制函数和系统本身的时滞从常时滞推广到变时滞。最后,用一个例子来证明结论的有效性。There are many research results on the quantization of quantum entanglement,but many of the existing entanglement measures are still difficult to calculate.In the paper“Entanglement measures based on observable correlations”,LUO Shun-long proposed an observable correlation measure of bipartite quantum states based on mutual information,and obtained a class of entanglement measures of bipartite quantum states.In this paper,we generalize the entanglement measure of the bipartite system to the multipartite composite quantum system,and prove that it satisfies the necessary physical conditions of entanglement measure.

关 键 词：变时滞 LYAPUNOV函数 高度非线性 NSDDE 在L^(P)上的渐近稳定性 在L^(P)上H_(∞)的稳定性 

分 类 号：O175[理学—数学]