Proves the existence of supremum and infimum in the noncompact fuzzy number space E ~, redefines E ~ valued (M) integral, and then discusses the relations between (M) integral and (G) integral of E ~ va...Proves the existence of supremum and infimum in the noncompact fuzzy number space E ~, redefines E ~ valued (M) integral, and then discusses the relations between (M) integral and (G) integral of E ~ valued functions.展开更多
In this paper, we study the compound binomial model in Markovian environment, which is proposed by Cossette, et al. (2003). We obtain the recursive formula of the joint distributions of T, X(T - 1) and |X(T)|...In this paper, we study the compound binomial model in Markovian environment, which is proposed by Cossette, et al. (2003). We obtain the recursive formula of the joint distributions of T, X(T - 1) and |X(T)|(i.e., the time of ruin, the surplus before ruin and the deficit at ruin) by the method of mass function of up-crossing zero points, as given by Liu and Zhao (2007). By using the same method, the recursive formula of supremum distribution is obtained. An example is included to illustrate the results of the model.展开更多
Let {X(t), t ≥ 0} be a centered stationary Gaussian process with correlation r(t)such that 1-r(t) is asymptotic to a regularly varying function. With T being a nonnegative random variable and independent of X(t), the...Let {X(t), t ≥ 0} be a centered stationary Gaussian process with correlation r(t)such that 1-r(t) is asymptotic to a regularly varying function. With T being a nonnegative random variable and independent of X(t), the exact asymptotics of P(sup_(t∈[0,T])X(t) > x) is considered, as x → ∞.展开更多
Sufficient conditions are investigated for the global stability of the solu tions to models based on nonlinear impulsive differential equations with "supremum" and variable impulsive perturbations. The main tools ar...Sufficient conditions are investigated for the global stability of the solu tions to models based on nonlinear impulsive differential equations with "supremum" and variable impulsive perturbations. The main tools are the Lyapunov functions and Razu mikhin technique. Two illustrative examples are given to demonstrate the effectiveness of the obtained results.展开更多
传统无线传感器网络(wireless sensor network,WSN)基于IP网络,难以发挥出智能配电网中多种接入网络的性能;同时,在气象灾害或巡检无人机等动态场景下难以获取节点IP地址,无法及时有效完成数据收集任务。命名数据网络(named data networ...传统无线传感器网络(wireless sensor network,WSN)基于IP网络,难以发挥出智能配电网中多种接入网络的性能;同时,在气象灾害或巡检无人机等动态场景下难以获取节点IP地址,无法及时有效完成数据收集任务。命名数据网络(named data networking,NDN)的出现,为解决上述问题提供了可能。NDN以数据需求为驱动,符合WSN只关注数据收集任务本身的初衷。结合NDN新型网络架构对于底层网络协议透明的优势,提出了一种智能配电网中感知数据收集协议——T-ND-WSN。仿真实验表明,该协议结合网内缓存机制,在满足智能配电网数据通信时延上确界前提下,在数据传输服务质量上具有明显优势。展开更多
文摘Proves the existence of supremum and infimum in the noncompact fuzzy number space E ~, redefines E ~ valued (M) integral, and then discusses the relations between (M) integral and (G) integral of E ~ valued functions.
基金Supported by the National Natural Science Foundation of China (10671176, 10771192, 70871103)
文摘In this paper, we study the compound binomial model in Markovian environment, which is proposed by Cossette, et al. (2003). We obtain the recursive formula of the joint distributions of T, X(T - 1) and |X(T)|(i.e., the time of ruin, the surplus before ruin and the deficit at ruin) by the method of mass function of up-crossing zero points, as given by Liu and Zhao (2007). By using the same method, the recursive formula of supremum distribution is obtained. An example is included to illustrate the results of the model.
基金Supported by the Scientific Research Fund of Sichuan Provincial Education Department(12ZB082)the Scientific research cultivation project of Sichuan University of Science&Engineering(2013PY07)+1 种基金the Scientific Research Fund of Shanghai University of Finance and Economics(2017110080)the Opening Project of Sichuan Province University Key Laboratory of Bridge Non-destruction Detecting and Engineering Computing(2018QZJ01)
文摘Let {X(t), t ≥ 0} be a centered stationary Gaussian process with correlation r(t)such that 1-r(t) is asymptotic to a regularly varying function. With T being a nonnegative random variable and independent of X(t), the exact asymptotics of P(sup_(t∈[0,T])X(t) > x) is considered, as x → ∞.
文摘Sufficient conditions are investigated for the global stability of the solu tions to models based on nonlinear impulsive differential equations with "supremum" and variable impulsive perturbations. The main tools are the Lyapunov functions and Razu mikhin technique. Two illustrative examples are given to demonstrate the effectiveness of the obtained results.
文摘传统无线传感器网络(wireless sensor network,WSN)基于IP网络,难以发挥出智能配电网中多种接入网络的性能;同时,在气象灾害或巡检无人机等动态场景下难以获取节点IP地址,无法及时有效完成数据收集任务。命名数据网络(named data networking,NDN)的出现,为解决上述问题提供了可能。NDN以数据需求为驱动,符合WSN只关注数据收集任务本身的初衷。结合NDN新型网络架构对于底层网络协议透明的优势,提出了一种智能配电网中感知数据收集协议——T-ND-WSN。仿真实验表明,该协议结合网内缓存机制,在满足智能配电网数据通信时延上确界前提下,在数据传输服务质量上具有明显优势。