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S-紧性与S-分离性 被引量:3
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作者 马跃超 杨姗姗 《哈尔滨工业大学学报》 EI CAS CSCD 北大核心 2003年第6期689-690,共2页
在S -紧空间中讨论了几个S-分离空间之间的关系 ,给出了S2 -空间成为S3 -空间 ,S3 -空间成为S4 -空间的一个充分条件 .主要结论 :设X是 -S紧空间 ,且具有有限半开集可交性 ,则 (1)若是S2 -空间 ,则X是S3 -空间 ;(2 )若是S2 -空间 ,则... 在S -紧空间中讨论了几个S-分离空间之间的关系 ,给出了S2 -空间成为S3 -空间 ,S3 -空间成为S4 -空间的一个充分条件 .主要结论 :设X是 -S紧空间 ,且具有有限半开集可交性 ,则 (1)若是S2 -空间 ,则X是S3 -空间 ;(2 )若是S2 -空间 ,则X是S4 -空间 ;(3)若是S3 -空间 ,则X是S4 -空间 . 展开更多
关键词 S-紧性 S-分离性 拓扑空间 半开集 函数分离空间 强连续函数 同胚 不定函数
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一个半线性特征值问题
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作者 余开奇 马吉溥 《南京大学学报(自然科学版)》 CSCD 1994年第4期557-562,共6页
考虑下面的二阶半线性特征值问题:这里D是RN中有界连通开区域,具有光滑边界,g:D→R的有界连续函数,在D中达到正、负值.f是上二阶连续可微的实函数,且满足k1X≥f(X)≥k2X,k1,k2>0,X>0.我们得到在... 考虑下面的二阶半线性特征值问题:这里D是RN中有界连通开区域,具有光滑边界,g:D→R的有界连续函数,在D中达到正、负值.f是上二阶连续可微的实函数,且满足k1X≥f(X)≥k2X,k1,k2>0,X>0.我们得到在λ充分大时,(*)有解;并且正数λ为(1)λ线性化方程的主特征值的充要条件是λ是(1)λ(2)的分歧点.(1)λ(2)有唯一分歧点(λ>0时). 展开更多
关键词 不定函数 主特征值 分歧点 半线性方程
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Similarity measure on intuitionistic fuzzy sets 被引量:5
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作者 PARK Jean-Ho HWANG Jai-Hyuk +2 位作者 PARK Wook-Je 魏荷 LEE Sang-Hyuk 《Journal of Central South University》 SCIE EI CAS 2013年第8期2233-2238,共6页
Study of fuzzy entropy and similarity measure on intuitionistic fuzzy sets (IFSs) was proposed and analyzed. Unlike fuzzy set, IFSs contain uncertainty named hesitance, which is contained in fuzzy membership function ... Study of fuzzy entropy and similarity measure on intuitionistic fuzzy sets (IFSs) was proposed and analyzed. Unlike fuzzy set, IFSs contain uncertainty named hesitance, which is contained in fuzzy membership function itself. Hence, designing fuzzy entropy is not easy because of many entropy definitions. By considering different fuzzy entropy definitions, fuzzy entropy on IFSs is designed and discussed. Similarity measure was also presented and its usefulness was verified to evaluate degree of similarity. 展开更多
关键词 similarity measure MULTI-DIMENSION discrete data relative degree power interconnected system
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时滞半Markov切换随机系统输入–状态稳定性分析的时变驻留时间条件方法
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作者 刘乾 何勇 宁重阳 《控制理论与应用》 EI CAS CSCD 北大核心 2023年第2期322-330,共9页
本文针对时滞半Markov切换随机系统,建立了一种基于时变驻留时间条件的不定多重Lyapunov-Razumikhin函数方法,给出了系统输入–状态稳定性和积分输入–状态稳定性判别条件.一方面,构造了一种不定多重Lyapunov函数,不要求每个子系统对应... 本文针对时滞半Markov切换随机系统,建立了一种基于时变驻留时间条件的不定多重Lyapunov-Razumikhin函数方法,给出了系统输入–状态稳定性和积分输入–状态稳定性判别条件.一方面,构造了一种不定多重Lyapunov函数,不要求每个子系统对应的Lyapunov-Razumikhin函数导数总是保持负定,从而放宽了对于子系统稳定性要求,甚至允许了不稳定子系统的存在;另一方面,提出了一种时变驻留时间条件来表示半Markov切换信号的切换次数与子系统驻留时间之间的关系,利用时变函数对切换次数进行估计,间接放松了不定多重Lyapunov-Razumikhin函数选取的限制.最后,数值算例验证了所提方法的有效性. 展开更多
关键词 半Markov切换系统 随机系统 时滞系统 输入–状态稳定性 Lyapunov-Razumikhin函数 不定多重Lyapu-nov函数 时变驻留时间条件
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New delay-dependent robust stability and stabilization for uncertain T-S fuzzy time-delay systems under imperfect premise matching 被引量:4
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作者 张泽健 黄显林 +1 位作者 班晓军 高晓智 《Journal of Central South University》 SCIE EI CAS 2012年第12期3415-3423,共9页
To alleviate the conservativeness of the stability criterion for Takagi-Sugeno (T-S) fuzzy time-delay systems, a new delay-dependent stability criterion was proposed by introducing a new augmented Lyapunov function ... To alleviate the conservativeness of the stability criterion for Takagi-Sugeno (T-S) fuzzy time-delay systems, a new delay-dependent stability criterion was proposed by introducing a new augmented Lyapunov function with an additional triple-integral term, which was firstly u3ed to derive the stability criterion for T-S fuzzy time-delay systems. By the same approach, the robust stability issue for fuzzy time-delay systems with uncertain parameters was also considered. On the other hand, in order to enhance the design flexibility, a new design approach for uncertain fuzzy time-delay systems under imperfect premise matching was also proposed, which allows the fuzzy controller to employ different membership functions from the fuzzy time-delay model. By the numerical examples, the proposed stability conditions are less conservative in the sense of getting larger allowable time-delay and obtaining smaller feedback control gains. For instance, when the allowable time-delay increases from 7.3 s to 12 s for an uncertain T-S fuzzy control system with time-delay, the norm of the feedback gains decreases from (34.299 2, 38.560 3) to (10.073 3, 11.349 0), respectively. Meanwhile, the effectiveness of the proposed design method was illustrated by the last example with the robustly stable curves of system state under the initial condition of x(0) = [3 -1]. 展开更多
关键词 T-S fuzzy systems time-delay systems imperfect premise matching stability robust stability linear matrix inequality(LMI) STABILIZATION
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Sliding mode control of solid state transformer using a three-level hysteresis function
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作者 刘宝龙 査亚兵 张涛 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第8期2063-2074,共12页
The solid state transformer(SST) can be viewed as an energy router in energy internet. This work presents sliding mode control(SMC) to improve dynamic state and steady state performance of a three-stage(rectifier stag... The solid state transformer(SST) can be viewed as an energy router in energy internet. This work presents sliding mode control(SMC) to improve dynamic state and steady state performance of a three-stage(rectifier stage, isolated stage and inverter stage) SST for energy internet. SMC with three-level hysteresis sliding functions is presented to control the input current of rectifier stage and output voltage of inverter stage to improve the robustness under external disturbance and parametric uncertainties and reduce the switching frequency. A modified feedback linearization technique using isolated stage simplified model is presented to achieve satisfactory regulation of output voltage of the isolated stage. The system is tested for steady state operation, reactive power control, dynamic load change and voltage sag simulations, respectively. The switching model of SST is implemented in Matlab/ Simulink to verify the SST control algorithms. 展开更多
关键词 solid state transformer(SST) energy internet sliding mode control(SMC) feedback linearization three-level hysteresis
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