In order to simulate a linear stochastic oscillator with additive noise,improved nonstandard optimal(INSOPT) schemes are derived utilizing the nonstandard finite difference(NSFD)technique and the improvement technique...In order to simulate a linear stochastic oscillator with additive noise,improved nonstandard optimal(INSOPT) schemes are derived utilizing the nonstandard finite difference(NSFD)technique and the improvement technique.These proposed schemes reproduce long time features of the oscillator solution exactly.Their abilities in preserving the symplecticity,the linear growth property of the second moment and the oscillation property of the solution of the stochastic oscillator system on long time interval are studied.It can be shown that the component { x_n}_(n≥1) of the INSOPT schemes switch signs infinitely many times as n →∞,almost surely.Further,the mean-square convergence order of 1 is obtained for these INSOPT schemes.Finally,numerical experiments illustrate intuitively the results obtained in this paper.展开更多
This paper investigates the problem of event-triggered finite-time <i>H</i><sub>∞</sub> control for a class of switched stochastic systems. The main objective of this study is to design an eve...This paper investigates the problem of event-triggered finite-time <i>H</i><sub>∞</sub> control for a class of switched stochastic systems. The main objective of this study is to design an event-triggered state feedback <i>H</i><sub>∞</sub> controller such that the resulting closed-loop system is finite-time bounded and satisfies a prescribed <i>H</i><sub>∞</sub> level in some given finite-time interval. Based on stochastic differential equations theory and average dwell time approach, sufficient conditions are derived to ensure the finite-time stochastic stability with the prescribed <i>H</i><sub>∞</sub> performance for the relevant closed-loop system by employing the linear matrix inequality technique. Finally, the desired state feedback <i>H</i><sub>∞</sub> controller gain matrices can be expressed in an explicit form.展开更多
利用Citespace V知识图谱软件对Web of Science数据库中30年来(1988—2017年)国际MBA领域研究的相关文献进行计量分析,通过可视化方式直观展示其研究进展和热点演变,可以发现,从1988年至今该领域研究文献数量整体呈增长趋势,尤其在2008...利用Citespace V知识图谱软件对Web of Science数据库中30年来(1988—2017年)国际MBA领域研究的相关文献进行计量分析,通过可视化方式直观展示其研究进展和热点演变,可以发现,从1988年至今该领域研究文献数量整体呈增长趋势,尤其在2008—2014年有了突破性的增长;各国在该领域研究中的发文数量差异较大,美国和英国位列前二,且美国的贡献超过了发文总数的一半,但美国的文献中心性只有英国的一半;发文量较多的机构基本上是英美的研究性大学,其中以美国的州立大学居多;作者之间学术相关性较高,尤其以美国的Pfeffer J.等几位学者的影响最大;不同时期的关键高频热点词各具特点,这可能与社会经济的发展变化相关。同时,通过对共被引图谱聚类分析揭示MBA领域的研究前沿,可以明确30年来该领域的9个突显词,而当前的前沿主题是MBA领域课程改革和在线MBA课程。我国在MBA领域的研究起步较晚,目前影响力相对有限,今后应将我国的实际国情及企业现状与当代管理理论相结合,从而推动在该领域的研究深入。展开更多
基金National Natural Science Foundation of China(No.11571373)
文摘In order to simulate a linear stochastic oscillator with additive noise,improved nonstandard optimal(INSOPT) schemes are derived utilizing the nonstandard finite difference(NSFD)technique and the improvement technique.These proposed schemes reproduce long time features of the oscillator solution exactly.Their abilities in preserving the symplecticity,the linear growth property of the second moment and the oscillation property of the solution of the stochastic oscillator system on long time interval are studied.It can be shown that the component { x_n}_(n≥1) of the INSOPT schemes switch signs infinitely many times as n →∞,almost surely.Further,the mean-square convergence order of 1 is obtained for these INSOPT schemes.Finally,numerical experiments illustrate intuitively the results obtained in this paper.
文摘This paper investigates the problem of event-triggered finite-time <i>H</i><sub>∞</sub> control for a class of switched stochastic systems. The main objective of this study is to design an event-triggered state feedback <i>H</i><sub>∞</sub> controller such that the resulting closed-loop system is finite-time bounded and satisfies a prescribed <i>H</i><sub>∞</sub> level in some given finite-time interval. Based on stochastic differential equations theory and average dwell time approach, sufficient conditions are derived to ensure the finite-time stochastic stability with the prescribed <i>H</i><sub>∞</sub> performance for the relevant closed-loop system by employing the linear matrix inequality technique. Finally, the desired state feedback <i>H</i><sub>∞</sub> controller gain matrices can be expressed in an explicit form.
文摘利用Citespace V知识图谱软件对Web of Science数据库中30年来(1988—2017年)国际MBA领域研究的相关文献进行计量分析,通过可视化方式直观展示其研究进展和热点演变,可以发现,从1988年至今该领域研究文献数量整体呈增长趋势,尤其在2008—2014年有了突破性的增长;各国在该领域研究中的发文数量差异较大,美国和英国位列前二,且美国的贡献超过了发文总数的一半,但美国的文献中心性只有英国的一半;发文量较多的机构基本上是英美的研究性大学,其中以美国的州立大学居多;作者之间学术相关性较高,尤其以美国的Pfeffer J.等几位学者的影响最大;不同时期的关键高频热点词各具特点,这可能与社会经济的发展变化相关。同时,通过对共被引图谱聚类分析揭示MBA领域的研究前沿,可以明确30年来该领域的9个突显词,而当前的前沿主题是MBA领域课程改革和在线MBA课程。我国在MBA领域的研究起步较晚,目前影响力相对有限,今后应将我国的实际国情及企业现状与当代管理理论相结合,从而推动在该领域的研究深入。