First of all the authors introduce the concepts of random sub-self-similar set and random shift set and then construct the random sub-self-similar set by a random shift set and a collection of statistical contraction ...First of all the authors introduce the concepts of random sub-self-similar set and random shift set and then construct the random sub-self-similar set by a random shift set and a collection of statistical contraction operators.展开更多
In this article, the Hausdorff dimension and exact Hausdorff measure function of any random sub-self-similar set are obtained under some reasonable conditions. Several examples are given at the end.
A new method to construct shift sequence sets is presented. Different shift sequence sets are obtained by changing parameters of the shift sequence. Based on these shift sequence sets, multiple shift distinct array se...A new method to construct shift sequence sets is presented. Different shift sequence sets are obtained by changing parameters of the shift sequence. Based on these shift sequence sets, multiple shift distinct array sets with zero-correlation zone （ZCZ） can be obtained by utilizing interleaving technique. It is shown that the resultant ZCZ array sets are optimal or almost optimal with respect to the Tang, Fan, and Matsufuji bound. Compared with previous methods, the proposed method extends the number of shift distinct ZCZ array sets.展开更多
Recently, Du has given a new strong definition of chaos by using the shift map. In this paper, we give a proof of the main theorem by constructing a dense uncountable invariant subset of the symbol space E2 containing...Recently, Du has given a new strong definition of chaos by using the shift map. In this paper, we give a proof of the main theorem by constructing a dense uncountable invariant subset of the symbol space E2 containing transitive points in a simpler way with the help of a different metric. We also provide two examples, which support this new definition.展开更多
In this paper we embark on the study of Dynamic Systems of Shifts in the space of piece-wise continuous functions analogue to the known Bebutov system. We give a formal definition of a topological dynamic system in th...In this paper we embark on the study of Dynamic Systems of Shifts in the space of piece-wise continuous functions analogue to the known Bebutov system. We give a formal definition of a topological dynamic system in the space of piece-wise continuous functions and show, by way of an example, stability in the sense of Poisson discontinuous function. We prove that a fixed discontinuous function, f, is discontinuous for all its shifts, whereas the trajectory of discontinuous function is not a compact set.展开更多
三有源桥(triple active bridge,TAB)变换器可以灵活连接多个电压等级,在直流微网、混合储能等领域受到广泛关注.模型预测控制是提升TAB变换器动态性能、实现端口解耦的有效策略.然而,由于TAB变换器功率传输模型复杂,采用连续集模型预...三有源桥(triple active bridge,TAB)变换器可以灵活连接多个电压等级,在直流微网、混合储能等领域受到广泛关注.模型预测控制是提升TAB变换器动态性能、实现端口解耦的有效策略.然而,由于TAB变换器功率传输模型复杂,采用连续集模型预测控制,代价函数求解极其困难,工程应用价值低.本文结合有限集模型预测控制,首次提出了一种应用于TAB变换器的移相离散集模型预测控制方法.该方法在每个控制周期内通过对有限个离散化的移相角组合进行局部寻优,继而滑动寻优窗口,最终实现全局最优控制.该方法既保证了优异的动态性能、解耦性能,又避免了复杂的非线性方程组求解,极大增强了控制策略的实用性.同时,本文还分析了移相离散集模型预测控制中权重系数、离散增益、预测范围的优化配置.最后,通过实验验证了所提控制策略的有效性.展开更多
基金Supported by the National Natural Science Foundation of China (10371092)the Foundation of Wuhan University
文摘First of all the authors introduce the concepts of random sub-self-similar set and random shift set and then construct the random sub-self-similar set by a random shift set and a collection of statistical contraction operators.
基金supported by the National Natural Science Foundation of China(10371092)Foundation of Ningbo University(8Y0600036).
文摘In this article, the Hausdorff dimension and exact Hausdorff measure function of any random sub-self-similar set are obtained under some reasonable conditions. Several examples are given at the end.
基金supported by the National Natural Science Foundation of China (61172094)the Natural Science Foundation of Hebei Province (F2012203171)
文摘A new method to construct shift sequence sets is presented. Different shift sequence sets are obtained by changing parameters of the shift sequence. Based on these shift sequence sets, multiple shift distinct array sets with zero-correlation zone （ZCZ） can be obtained by utilizing interleaving technique. It is shown that the resultant ZCZ array sets are optimal or almost optimal with respect to the Tang, Fan, and Matsufuji bound. Compared with previous methods, the proposed method extends the number of shift distinct ZCZ array sets.
基金CSIR (project no. F.NO. 8/3 (45)/2005-EMR-I) for their financial support
文摘Recently, Du has given a new strong definition of chaos by using the shift map. In this paper, we give a proof of the main theorem by constructing a dense uncountable invariant subset of the symbol space E2 containing transitive points in a simpler way with the help of a different metric. We also provide two examples, which support this new definition.
文摘In this paper we embark on the study of Dynamic Systems of Shifts in the space of piece-wise continuous functions analogue to the known Bebutov system. We give a formal definition of a topological dynamic system in the space of piece-wise continuous functions and show, by way of an example, stability in the sense of Poisson discontinuous function. We prove that a fixed discontinuous function, f, is discontinuous for all its shifts, whereas the trajectory of discontinuous function is not a compact set.
文摘三有源桥(triple active bridge,TAB)变换器可以灵活连接多个电压等级,在直流微网、混合储能等领域受到广泛关注.模型预测控制是提升TAB变换器动态性能、实现端口解耦的有效策略.然而,由于TAB变换器功率传输模型复杂,采用连续集模型预测控制,代价函数求解极其困难,工程应用价值低.本文结合有限集模型预测控制,首次提出了一种应用于TAB变换器的移相离散集模型预测控制方法.该方法在每个控制周期内通过对有限个离散化的移相角组合进行局部寻优,继而滑动寻优窗口,最终实现全局最优控制.该方法既保证了优异的动态性能、解耦性能,又避免了复杂的非线性方程组求解,极大增强了控制策略的实用性.同时,本文还分析了移相离散集模型预测控制中权重系数、离散增益、预测范围的优化配置.最后,通过实验验证了所提控制策略的有效性.
