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1)  mean square exponential stability
均方指数稳定性
1.
Robust mean square exponential stability of uncertain stochastic systems with time-varying delay
不确定变时滞随机系统的鲁棒均方指数稳定性
2.
In this paper, based the epxonential stability performance index, we constructed new eqaul performance indexes, and pre- sented finite and infinite horizon stochastic optimal controllers, and discussed the systems mean square exponential stability and al- most surely exponential stability.
利用网络控制系统的增广矩阵模型,结合系统的指数稳定性能指标,构建了新的等价性能指标,导出了在该性能指标下有限时间和无限时间状态反馈最优控制律,并分析了系统的均方指数稳定性与几乎处处指数稳定性,最后给出无限时间最优控制的仿真结果,验证了本文结论的正确性。
3.
Furthermore,based on a differential difference inequality,some new sufficient conditions are given for the mean square exponential stability,and the effectiveness is proved via simulation example.
研究了具有时变时滞与分布时滞的随机Cohen-Grossberg神经网络的均方指数稳定性
2)  exponential mean-square stability
均方指数稳定性
1.
The problem of exponential mean-square stability and H_∞control for a class of uncertain stochastic time-varying delay systems with Markovian jumping parameters were studied.
讨论一类具有Markov跳变参数的It(?)-type不确定随机时变时滞系统的均方指数稳定性及H_∞控制问题。
2.
The problem of exponential mean-square stability and H ∞ control for a class of uncertain stochastic time-varying delay systems with Markovian jumping parameters were studied.
讨论一类具有Markov跳变参数的It-type不确定随机时变时滞系统的均方指数稳定性及H∞控制问题。
3)  mean square exponential stability
均方指数稳定
1.
By using the extension of Hlder inequality,delay difference inequality and the property of spectral radius of nonnegative matrix,a sufficient condition on the mean square exponential stability of stochastic vector difference equation with variable delays is given.
利用H lder不等式,时滞差分不等式以及非负矩阵谱半径的性质,得到了一类具有变时滞的随机向量差分方程的均方指数稳定的充分条件。
2.
By means of Lyapunov stability theorems of nonlinear stochastic systems with time-delays,some mean square exponential stability conditions with time-delays are deduced to linear matrix inequality(LMI) problems.
利用具有时滞的非线性随机系统的Lyapunov稳定性理论,导出闭环系统均方指数稳定的矩阵不等式(LMI)条件,最后通过数值例子说明了方法的有效性。
3.
Since stability theory has enormous impact on cellular neural networks, in this paper, we mostly probe into the global asymptotic stability and global exponential stability for cellular neural networks with delays, as well as mean square exponential stability and almost surely exponential stability for stochastic cellular neural networks.
针对稳定性理论在细胞神经网络中的巨大影响,本文主要探讨了时滞细胞神经网络系统、模糊细胞神经网络的全局渐近稳定性和全局指数稳定性以及随机细胞神经网络的均方指数稳定性和几乎必然指数稳定性。
4)  exponential mean square stability
指数均方稳定
5)  exponential stability in mean square
均方指数稳定
1.
So far there are few results on the exponential stability in mean square for impulsive stochastic difference equations with continuous time.
研究了连续变量型随机脉冲差分方程的均方指数稳定性,可以弥补此问题的空白。
2.
Based on parameterized neutral model transformation and Lyapunov-krasovskii functional approach,a sufficient condition of delay-dependent exponential stability in mean square for the closed-loop systems is derived in terms of linear matrix inequality.
通过引入参数化的中立型模型变换,构造Lyapunov-krasovskii泛函,运用线性矩阵不等式方法,得到了使得闭环系统为均方指数稳定的保守性较小的时滞相关鲁棒镇定条件。
6)  globally exponentially stable in the mean square
全局均方指数稳定
补充资料:迁移效率指数、偏好指数和差别指数


迁移效率指数、偏好指数和差别指数


迁移效率指数、偏好指数和差别指数迁移效率指数是用于测定两地间人口迁移效率的指标。它是净迁移对总迁移之比。计算公式为:EIM一摇寿纂拼又‘。。上式中,}人么夕一材方}为i、]两地净迁移人数;从少+材户为i、]两地总迁移人数;El入了为迁移效率指数。 EIM的取值范围为。至100,如某一地区的值越大,反映迁移的的影响也越大。如果计算i地区与其他一切地区之间的人口迁移效率指数EIM厂,则: }艺材。一芝Mj、}EIM汀艺。+乏M,(j笋i) 迁移偏好指数是从一个地区向另一地区的实际迁移人数与期望迁移人数之比。计算公式为:____M.___材尸2行一:一二子一一不石一二,么M“ 了厂‘.厂‘、八 }二不十二六二1 、厂厂7上式中,M“为从i地迁到j地的实际迁移量;艺材。为总的人口迁移量;尸为总人口;M尸I,j为迁移偏好指数。通过计算迁移偏好指数,可以反映各地区的相对引力。 迁移差别指数是反映具有某种特征的迁移人口与非迁移人口区别的指数。例如,专业技术人员的人数所占比重,各种文化程度人数所占比重等,以便研究人才流失和其他间题。计算公式为:M‘从IMD、一翌不丝xl。。 .义V‘ N上式中,M为迁移人数;M,为具有i特征的迁移人数;N为非迁移人数;N‘为具有i特征的非迁移人数;了八了D、为迁移差别指数。
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