多级排队网络的稳定性特别是全稳定性一直是随机网络研究的一个热点.Ni o Mora和Glazebrook就多级排队网络的全稳定性给出了一个充分条件,即当每个工作站的峰值流量密度ρ-<1时,该排队网络是全稳定的.通过对该条件的应用得出了此条...多级排队网络的稳定性特别是全稳定性一直是随机网络研究的一个热点.Ni o Mora和Glazebrook就多级排队网络的全稳定性给出了一个充分条件,即当每个工作站的峰值流量密度ρ-<1时,该排队网络是全稳定的.通过对该条件的应用得出了此条件成立的必要条件,即当σ(k)≠σ(k+1)时有mk>mk+1.对一类具有两个工作站的重入排队网络证明了若σ(k)≠σ(k+1)时有mk≥mk+1,该排队网络是全稳定的.展开更多
Dynamical behaviors of a class of second order Hopfield neural networks with time delays is investigated.The existence of a unique equilibrium point is proved by using Brouwer's fixed point theorem and the counter...Dynamical behaviors of a class of second order Hopfield neural networks with time delays is investigated.The existence of a unique equilibrium point is proved by using Brouwer's fixed point theorem and the counter proof method,and some sufficient conditions for the global asymptotic stability of the equilibrium point are obtained through the combination of a suitable Lyapunov function and an algebraic inequality technique.展开更多
Both the global exponential stability and the existence of periodic solutions for a class of recurrent neural networks with continuously distributed delays (RNNs) are studied. By employing the inequality α∏k=1^m ...Both the global exponential stability and the existence of periodic solutions for a class of recurrent neural networks with continuously distributed delays (RNNs) are studied. By employing the inequality α∏k=1^m bk^qk≤1/r ∑qkbk^r+1/rα^r(α≥0,bk≥0,qk〉0,with ∑k=1^m qk=r-1,r≥1, constructing suitable Lyapunov r k=l k=l functions and applying the homeomorphism theory, a family of simple and new sufficient conditions are given ensuring the global exponential stability and the existence of periodic solutions of RNNs. The results extend and improve the results of earlier publications.展开更多
In this paper, it is discussed the model of a kind of nonlinear differential, equation d s d t=1-s-x 1s 0δQ 2(m 1s 0sk 1+s 0s-k) d x 1 d t=x 1Q(m 1s 0sk 1+s 0s-k)-x 1-x 2m 2x 1/Qk 2+x 1/Q...In this paper, it is discussed the model of a kind of nonlinear differential, equation d s d t=1-s-x 1s 0δQ 2(m 1s 0sk 1+s 0s-k) d x 1 d t=x 1Q(m 1s 0sk 1+s 0s-k)-x 1-x 2m 2x 1/Qk 2+x 1/Q d x 2 d t=x 2Q m 2x 1/Qk 2+x 1/Q-x 2.It is proved that the system is exist at least one stable periodic solution on under the following condition:m 2x * 2(k 1δ+s 0δ-Qλ 2-x * 2) 2】m 1δk 1(k 2+Q 2λ 2) 2.Furthermore, ifm 2x * 2(k 1δ+s 0δ-Qλ 2-x * 2) 2【m 1δk 1(k 2-Q 2λ 2) 2mold true them equilibrium point (s *,x * 1,x * 2)∈ set Ω is global asymptotic stable.展开更多
There are many works on the asymptotic stability of second dimensional nonlinear differential equation. In particular, these results only concern with the system which includes one or two terms, whereas few works conc...There are many works on the asymptotic stability of second dimensional nonlinear differential equation. In particular, these results only concern with the system which includes one or two terms, whereas few works concern with system which includes more than two terms. In this paper, system which includes four nonlinear terms are studies. We obtain the global asymptotic stability of zero solution, and discard the condition which require the Liapunov function trends to infinity, and only require that the positive orbit is bounded.展开更多
In order to study the stability of desert climate, the instability of climate in Minqin desert in response to global warming during 1961-2013 was analyzed by sliding standard deviation and a linear trend line. The res...In order to study the stability of desert climate, the instability of climate in Minqin desert in response to global warming during 1961-2013 was analyzed by sliding standard deviation and a linear trend line. The results show that the instabili- ty of average temperature in January and April increased, and the isothermal date in February was 10.36 d earlier from 1961 to 2013. The instability of extreme maxi- mum temperature in December and January improved. The instability of extreme minimum temperature in July instability also increased. The coefficient of variation of extreme minimum temperature in May was up to 287.3%. It is concluded that the instability of desert climate of Minqin County increased with global warming. The stability of climate is more worthy of attention.展开更多
利用加入破乳剂水洗的方法脱除催化裂化油浆中的固体颗粒,选用性质相近的模型油对其机理进行探讨发现,50℃条件下,加入100 mg/L破乳剂时,油水界面张力由37.5 m N/m降低至26 m N/m,即破乳剂显著降低了油水界面张力。同时由全功能稳定性...利用加入破乳剂水洗的方法脱除催化裂化油浆中的固体颗粒,选用性质相近的模型油对其机理进行探讨发现,50℃条件下,加入100 mg/L破乳剂时,油水界面张力由37.5 m N/m降低至26 m N/m,即破乳剂显著降低了油水界面张力。同时由全功能稳定性分析可知,破乳剂的加入加速了背散射光的降低,加速了乳状液颗粒之间的聚并。通过红外、核磁共振光谱和凝胶色谱对破乳剂分子的结构进行了表征。同时将此破乳剂用在油浆中,在去离子水质量分数为16%,破乳剂质量浓度为50 mg/L时,脱水率即可达到90%以上,并且油浆灰分质量分数也由原来的0.26%降到了0.02%,取得很好效果。展开更多
In acoustic logging-while-drilling (ALWD) finite difference in time domain (FDTD) simulations, large drill collar occupies, most of the fluid-filled borehole and divides the borehole fluid into two thin fluid colu...In acoustic logging-while-drilling (ALWD) finite difference in time domain (FDTD) simulations, large drill collar occupies, most of the fluid-filled borehole and divides the borehole fluid into two thin fluid columns (radius -27 mm). Fine grids and large computational models are required to model the thin fluid region between the tool and the formation. As a result, small time step and more iterations are needed, which increases the cumulative numerical error. Furthermore, due to high impedance contrast between the drill collar and fluid in the borehole (the difference is 〉30 times), the stability and efficiency of the perfectly matched layer (PML) scheme is critical to simulate complicated wave modes accurately. In this paper, we compared four different PML implementations in a staggered grid finite difference in time domain (FDTD) in the ALWD simulation, including field-splitting PML (SPML), multiaxial PML(M- PML), non-splitting PML (NPML), and complex frequency-shifted PML (CFS-PML). The comparison indicated that NPML and CFS-PML can absorb the guided wave reflection from the computational boundaries more efficiently than SPML and M-PML. For large simulation time, SPML, M-PML, and NPML are numerically unstable. However, the stability of M-PML can be improved further to some extent. Based on the analysis, we proposed that the CFS-PML method is used in FDTD to eliminate the numerical instability and to improve the efficiency of absorption in the PML layers for LWD modeling. The optimal values of CFS-PML parameters in the LWD simulation were investigated based on thousands of 3D simulations. For typical LWD cases, the best maximum value of the quadratic damping profile was obtained using one do. The optimal parameter space for the maximum value of the linear frequency-shifted factor (a0) and the scaling factor (β0) depended on the thickness of the PML layer. For typical formations, if the PML thickness is 10 grid points, the global error can be reduced to 〈1% using the optimal PML parameters, and the error will decrease as the PML thickness increases.展开更多
A series of centrifuge model tests exploring the effects of different types of slurry on long-trench stability in soft clay were conducted. The influence of groundwater conditions relative to trench stability was exam...A series of centrifuge model tests exploring the effects of different types of slurry on long-trench stability in soft clay were conducted. The influence of groundwater conditions relative to trench stability was examined by constructing long trenches using different slurries. The soil deformation and surface settlement induced by the excavation of the trench are found to be closely related to slurry type and excavation depth of the long trench. Increasing the bentonite concentration of the slurry has beneficial effects on stability: 1) larger particles can improve local and global stability in cases where filter cakes do not form, and 2) larger viscosity can promote filter cake formation on the walls of long trenches excavated in soft clay and enhance their stability.展开更多
Sodium-ion batteries are considered as a promising candidate for lithium-ion batteries due to abundant sodium resources and similar intercalation chemistry.Hard carbon derived from biomass with the virtue of abundance...Sodium-ion batteries are considered as a promising candidate for lithium-ion batteries due to abundant sodium resources and similar intercalation chemistry.Hard carbon derived from biomass with the virtue of abundance and renewability is a cost-effective anode material.Herein,hard carbon is derived from renewable bagasse through a simple two-step method combining mechanical ball milling with carbonization.The hard carbon electrodes exhibit superior electrochemical performance with a high reversible capacity of 315 mA∙h/g.Furthermore,the initial capacity of the full cell,HC//NaMn0.4Ni0.4Ti0.1Mg0.1O2,is 253 mA∙h/g and its capacity retention rate is 77%after 80 cycles,which further verifies its practical application.The simple and low-cost preparation process,as well as excellent electrochemical properties,demonstrates that hard carbon derived from bagasse is a promising anode for sodium-ion batteries.展开更多
Microseismic monitoring technology has become an important technique to assess stability of rock mass in metal mines.Due to the special characteristics of underground metal mines in China,including the high tectonic s...Microseismic monitoring technology has become an important technique to assess stability of rock mass in metal mines.Due to the special characteristics of underground metal mines in China,including the high tectonic stress,irregular shape and existence of ore body,and complex mining methods,the application of microseismic technology is more diverse in China compared to other countries,and is more challenging than in other underground structures such as tunnels,hydropower stations and coal mines.Apart from assessing rock mass stability and ground pressure hazards induced by mining process,blasting,water inrush and large scale goaf,microseismic technology is also used to monitor illegal mining,and track personnel location during rescue work.Moreover,microseismic data have been used to optimize mining parameters in some metal mines.The technology is increasingly used to investigate cracking mechanism in the design of rock mass supports.In this paper,the application,research development and related achievements of microseismic technology in underground metal mines in China are summarized.By considering underground mines from the perspective of informatization,automation and intelligentization,future studies should focus on intelligent microseismic data processing method,e.g.,signal identification of microseismic and precise location algorithm,and on the research and development of microseismic equipment.In addition,integrated monitoring and collaborative analysis for rock mass response caused by mining disturbance will have good prospects for future development.展开更多
文摘现有工程运行数据显示,并网变流器(grid-connected converter,GCC)的动态特性与工作点密切相关。受新能源出力波动、负载投切等外部因素的影响,变流器工作点呈现随机时变特性。因此,分析整个工作区间中所有工作点的系统稳定性具有重要意义。传统阻抗/导纳分析方法可以有效分析GCC运行于特定工作点时的稳定性,但考虑系统所有可能工作点时则需重复分析,工作量大且难度较高。为解决这一难题,提出一种考虑工作点变量的多元建模方法。将工作点变量引入导纳模型,通过控制环路重构,建立GCC的多变量单输入单输出(single input single output,SISO)模型。所提模型直接包含工作点变量,因此可以有效分析变流器全工作区间动态特性。此外,综合考虑变流器最大传输限制和动态特性,提出一种基于安全运行域的稳定性分析方法,以实现多维工作区间中系统稳定性的直观表征。仿真和实验验证了所提多变量SISO模型和基于安全运行域的分析方法的正确性。所提模型和方法在分析电力电子装置运行极限、指导变流器设计和辅助功率器件发挥极限性能等工程场景中具有广泛应用潜力。
文摘多级排队网络的稳定性特别是全稳定性一直是随机网络研究的一个热点.Ni o Mora和Glazebrook就多级排队网络的全稳定性给出了一个充分条件,即当每个工作站的峰值流量密度ρ-<1时,该排队网络是全稳定的.通过对该条件的应用得出了此条件成立的必要条件,即当σ(k)≠σ(k+1)时有mk>mk+1.对一类具有两个工作站的重入排队网络证明了若σ(k)≠σ(k+1)时有mk≥mk+1,该排队网络是全稳定的.
基金Research supported by the National Natural Science Foundation of China(12271220)postgraduate research and practice innovation program of Jiangsu Province(KYCX24-3010)。
文摘Dynamical behaviors of a class of second order Hopfield neural networks with time delays is investigated.The existence of a unique equilibrium point is proved by using Brouwer's fixed point theorem and the counter proof method,and some sufficient conditions for the global asymptotic stability of the equilibrium point are obtained through the combination of a suitable Lyapunov function and an algebraic inequality technique.
文摘Both the global exponential stability and the existence of periodic solutions for a class of recurrent neural networks with continuously distributed delays (RNNs) are studied. By employing the inequality α∏k=1^m bk^qk≤1/r ∑qkbk^r+1/rα^r(α≥0,bk≥0,qk〉0,with ∑k=1^m qk=r-1,r≥1, constructing suitable Lyapunov r k=l k=l functions and applying the homeomorphism theory, a family of simple and new sufficient conditions are given ensuring the global exponential stability and the existence of periodic solutions of RNNs. The results extend and improve the results of earlier publications.
文摘In this paper, it is discussed the model of a kind of nonlinear differential, equation d s d t=1-s-x 1s 0δQ 2(m 1s 0sk 1+s 0s-k) d x 1 d t=x 1Q(m 1s 0sk 1+s 0s-k)-x 1-x 2m 2x 1/Qk 2+x 1/Q d x 2 d t=x 2Q m 2x 1/Qk 2+x 1/Q-x 2.It is proved that the system is exist at least one stable periodic solution on under the following condition:m 2x * 2(k 1δ+s 0δ-Qλ 2-x * 2) 2】m 1δk 1(k 2+Q 2λ 2) 2.Furthermore, ifm 2x * 2(k 1δ+s 0δ-Qλ 2-x * 2) 2【m 1δk 1(k 2-Q 2λ 2) 2mold true them equilibrium point (s *,x * 1,x * 2)∈ set Ω is global asymptotic stable.
文摘There are many works on the asymptotic stability of second dimensional nonlinear differential equation. In particular, these results only concern with the system which includes one or two terms, whereas few works concern with system which includes more than two terms. In this paper, system which includes four nonlinear terms are studies. We obtain the global asymptotic stability of zero solution, and discard the condition which require the Liapunov function trends to infinity, and only require that the positive orbit is bounded.
基金Supported by the Major State Basic Research Development Program(973 Program)(2014CB460611)~~
文摘In order to study the stability of desert climate, the instability of climate in Minqin desert in response to global warming during 1961-2013 was analyzed by sliding standard deviation and a linear trend line. The results show that the instabili- ty of average temperature in January and April increased, and the isothermal date in February was 10.36 d earlier from 1961 to 2013. The instability of extreme maxi- mum temperature in December and January improved. The instability of extreme minimum temperature in July instability also increased. The coefficient of variation of extreme minimum temperature in May was up to 287.3%. It is concluded that the instability of desert climate of Minqin County increased with global warming. The stability of climate is more worthy of attention.
文摘利用加入破乳剂水洗的方法脱除催化裂化油浆中的固体颗粒,选用性质相近的模型油对其机理进行探讨发现,50℃条件下,加入100 mg/L破乳剂时,油水界面张力由37.5 m N/m降低至26 m N/m,即破乳剂显著降低了油水界面张力。同时由全功能稳定性分析可知,破乳剂的加入加速了背散射光的降低,加速了乳状液颗粒之间的聚并。通过红外、核磁共振光谱和凝胶色谱对破乳剂分子的结构进行了表征。同时将此破乳剂用在油浆中,在去离子水质量分数为16%,破乳剂质量浓度为50 mg/L时,脱水率即可达到90%以上,并且油浆灰分质量分数也由原来的0.26%降到了0.02%,取得很好效果。
基金supported by NSFC(No.41174118)one of the major state S&T special projects(No.2008ZX05020-004)+1 种基金a Postdoctoral Fellowship of China(No.2013M530106)China Scholarship Council(No.2010644006)
文摘In acoustic logging-while-drilling (ALWD) finite difference in time domain (FDTD) simulations, large drill collar occupies, most of the fluid-filled borehole and divides the borehole fluid into two thin fluid columns (radius -27 mm). Fine grids and large computational models are required to model the thin fluid region between the tool and the formation. As a result, small time step and more iterations are needed, which increases the cumulative numerical error. Furthermore, due to high impedance contrast between the drill collar and fluid in the borehole (the difference is 〉30 times), the stability and efficiency of the perfectly matched layer (PML) scheme is critical to simulate complicated wave modes accurately. In this paper, we compared four different PML implementations in a staggered grid finite difference in time domain (FDTD) in the ALWD simulation, including field-splitting PML (SPML), multiaxial PML(M- PML), non-splitting PML (NPML), and complex frequency-shifted PML (CFS-PML). The comparison indicated that NPML and CFS-PML can absorb the guided wave reflection from the computational boundaries more efficiently than SPML and M-PML. For large simulation time, SPML, M-PML, and NPML are numerically unstable. However, the stability of M-PML can be improved further to some extent. Based on the analysis, we proposed that the CFS-PML method is used in FDTD to eliminate the numerical instability and to improve the efficiency of absorption in the PML layers for LWD modeling. The optimal values of CFS-PML parameters in the LWD simulation were investigated based on thousands of 3D simulations. For typical LWD cases, the best maximum value of the quadratic damping profile was obtained using one do. The optimal parameter space for the maximum value of the linear frequency-shifted factor (a0) and the scaling factor (β0) depended on the thickness of the PML layer. For typical formations, if the PML thickness is 10 grid points, the global error can be reduced to 〈1% using the optimal PML parameters, and the error will decrease as the PML thickness increases.
基金Project(41202220)supported by the National Natural Science Foundation of ChinaProject(20120022120003)supported by the Research Fund for the Doctoral Program of Higher Education,ChinaProject(2652012065)supported by the Fundamental Research Funds for the Central Universities and Beijing Higher Education Young Elite Teacher Program,China
文摘A series of centrifuge model tests exploring the effects of different types of slurry on long-trench stability in soft clay were conducted. The influence of groundwater conditions relative to trench stability was examined by constructing long trenches using different slurries. The soil deformation and surface settlement induced by the excavation of the trench are found to be closely related to slurry type and excavation depth of the long trench. Increasing the bentonite concentration of the slurry has beneficial effects on stability: 1) larger particles can improve local and global stability in cases where filter cakes do not form, and 2) larger viscosity can promote filter cake formation on the walls of long trenches excavated in soft clay and enhance their stability.
基金Projects(51661009,51761007)supported by the National Natural Science Foundation of China,Projects(2019GXNSFDA245014,2016GXNSFGA380001)supported by the Natural Science Foundation of Guangxi Province,China,Projects(2019AC20164,2019AC20053)supported by the Science and Technology Base and Talent Special Project of Guangxi Province,China。
文摘Sodium-ion batteries are considered as a promising candidate for lithium-ion batteries due to abundant sodium resources and similar intercalation chemistry.Hard carbon derived from biomass with the virtue of abundance and renewability is a cost-effective anode material.Herein,hard carbon is derived from renewable bagasse through a simple two-step method combining mechanical ball milling with carbonization.The hard carbon electrodes exhibit superior electrochemical performance with a high reversible capacity of 315 mA∙h/g.Furthermore,the initial capacity of the full cell,HC//NaMn0.4Ni0.4Ti0.1Mg0.1O2,is 253 mA∙h/g and its capacity retention rate is 77%after 80 cycles,which further verifies its practical application.The simple and low-cost preparation process,as well as excellent electrochemical properties,demonstrates that hard carbon derived from bagasse is a promising anode for sodium-ion batteries.
基金Projects(51974059,52174142)supported by the National Natural Science Foundation of ChinaProject(2017YFC0602904)supported by the National Key Research and Development Program of ChinaProject(N180115010)supported by the Fundamental Research Funds for the Central Universities,China。
文摘Microseismic monitoring technology has become an important technique to assess stability of rock mass in metal mines.Due to the special characteristics of underground metal mines in China,including the high tectonic stress,irregular shape and existence of ore body,and complex mining methods,the application of microseismic technology is more diverse in China compared to other countries,and is more challenging than in other underground structures such as tunnels,hydropower stations and coal mines.Apart from assessing rock mass stability and ground pressure hazards induced by mining process,blasting,water inrush and large scale goaf,microseismic technology is also used to monitor illegal mining,and track personnel location during rescue work.Moreover,microseismic data have been used to optimize mining parameters in some metal mines.The technology is increasingly used to investigate cracking mechanism in the design of rock mass supports.In this paper,the application,research development and related achievements of microseismic technology in underground metal mines in China are summarized.By considering underground mines from the perspective of informatization,automation and intelligentization,future studies should focus on intelligent microseismic data processing method,e.g.,signal identification of microseismic and precise location algorithm,and on the research and development of microseismic equipment.In addition,integrated monitoring and collaborative analysis for rock mass response caused by mining disturbance will have good prospects for future development.