共查询到20条相似文献，搜索用时 500 毫秒
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计算Cartan 不变量，特别是第一Cartan 不变量，首先要给出Weyl模的分解模式，文中利用代数群模表示理论中的一系列结果，计算了辛群Sp（4,3）的Weyl模分解模式。 相似文献
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计算cartan不变量,特别是第一Cartan不变量,首先要给出Weyl模的分解模式.文中利用代数群模表示理论中的一系列结果,计算了辛群Sp(4,3)的Weyl模分解模式. 相似文献
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设g是带有非退化对称不变双线性型的有限维可解非幂零李代数,证明了g的极大环面子代数H作用在g的有限维模上是可对角化;给出g的Casimlr算子Ω的概念,并证明了Q作用在g的不可分解模上是一个纯量0。 相似文献
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定义 若一个数的代数体系能描述一个几何体系中的任何几何变换，则称它为该几何体系的一个解析模型；又若该几何体系的任一基本几何变换都能用该代数体系的一个二元运算直接描述，则称它为该几何体系的一个最优解析模犁。 相似文献
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《科技成果管理与研究》2013,(6):F0004-F0004
张英伯,北京师范大学数学科学学院教授,博士生导师,从事基础数学的科研和教学工作,研究方向为代数学,阿廷代数的表示理论。她于1990年在德国Bielefeld大学获理学博士学位,学位论文The Structure of Stable Components解决了一般情况下代数模范畴的组合结构。发表数学研究论文37篇,译著2部（译自俄文）, 相似文献
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半导体生产调度是一个科学难题,是一类典型的商散事件动态系统,由干其复杂型数学模型的建立至关重要.本文试图通过极大代数方法实现半导体封装技术的串行生产线楚模,楚立其一般方程的矩阵表示方式,从而为其调度研究提供理论数学模型依据. 相似文献
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三值环形计数器的设计 总被引：1，自引：0，他引：1
本文在分析二值环形计数器的设计思想的基础上,提出了三值环形计数器基于模代数的三值D型和JK型触发器的电路设计。此外,还提出了借助于三值K图化简技术设计具有自校正功能的三值环形计数器的方法。 相似文献
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建筑工程是社会发展中的重要推动力,也是人们生活质量提升的基础。混凝土结构被越来越广泛地应用到了建筑工程的建设中,现浇混凝土施工技术是混凝土工程施工中的重要技术,它与预制混凝土不同,需要在施工现场支模浇筑,能够有效保证混凝土结构与整体结构的适应性。但是其中却可能出现爆模现象的产生,这个问题的产生可能导致混凝土结构质量出现严重问题。本文根据混凝土施工中模具的使用情况,对施工中出现胀模和爆模现象的原因进行了分析,并针对其出现的原因提出了合理的解决方式,旨在能够减少混凝土施工中胀模和爆模的发生率,促进混凝土施工技术的发展。 相似文献
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本文首先证明了布尔减、布尔除与非运算构成完备集,并根据布尔减、布尔除与非运算的运算规则和性质,从与或非代数系统中的最小项、最大项展开式出发,推导了任意逻辑函数在减除非代数系统中的标准DOS(减之除)和标准SOD(除之减)展开式。最后举例说明了二个代数系统中展开式之间的转换。本文的工作对进一步完善布尔代数的四则运算理论具有一定的意义。 相似文献
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检测逻辑函数对称性的新方法 总被引：6，自引：0，他引：6
本文论述了逻辑函数的Ｒｅｅｄ－Ｍｕｌｌｅｒ展开及ｂ＿ｊ系数图，在此基础上提出了直接检测基于Ｒｅｅｄ－Ｍｕｌｌｅｒ展开的逻辑函数的对称性的新方法。 相似文献
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In this paper, an iterative learning control strategy is presented for a class of nonlinear pure-feedback systems with initial state error using fuzzy logic system. The proposed control scheme utilizes fuzzy logic systems to learn the behavior of the unknown plant dynamics. Filtered signals are employed to circumvent algebraic loop problems encountered in the implementation of the existing controllers. Backstepping design technique is applied to deal with system dynamics. Based on the Lyapunov-like synthesis, we show that all signals in the closed-loop system remain bounded over a pre-specified time interval [0,T]. There even exist initial state errors, the norm of tracking error vector will asymptotically converge to a tunable residual set as iteration goes to infinity and the learning speed can be easily improved if the learning gain is large enough. A time-varying boundary layer is introduced to solve the problem of initial state error. A typical series is introduced in order to deal with the unknown bound of the approximation errors. Finally, two simulation examples show the feasibility and effectiveness of the approach. 相似文献
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《Journal of The Franklin Institute》2022,359(13):7219-7232
This paper develops a novel way to control nonstrict-feedback nonlinear systems by using only one approximator, namely a neural network (NN) or a fuzzy logic system (FLS), in the first step of backstepping, such that the computational simplicity is ensured. The bounded property of basis functions solves the “algebraic loop” problem. The double-channel event-triggered control (ETC) is completed both in sensor-to-controller (SC) and controller-to-actuator (CA) channels, where the separate triggering conditions are fabricated. To solve the “jumps of virtual control laws (JVCL)” problem bedeviling the backstepping combined with ETC, this paper opens an avenue while guaranteeing the closed-loop stability with the aid of undetermined virtual control laws. 相似文献
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In most communication networks, error probabilities 1?→?0 and 0?→?1 are equally likely to occur. However, in some optical networks, such as local and access networks, this is not the case. In these networks, the number of received photons never exceeds the number of transmitted ones. Hence, if the receiver operates correctly, only 1?→?0 errors can occur. Motivated by this fact, in this paper, we present a class of integer codes capable of correcting burst and random asymmetric (1?→?0) errors within a b-bit byte. Unlike classical codes, the proposed codes are defined over the ring of integers modulo 2b ?1. As a result, they have the potential to be implemented in software without any hardware assist. 相似文献
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Diyi Chen Cong Ding Younghae Do Xiaoyi Ma Hua Zhao Yichen Wang 《Journal of The Franklin Institute》2014
In this paper, we introduce a novel model of a hydro-turbine system with the effect of surge tank based on state-space equations to study the nonlinear dynamical behaviors of the hydro-turbine system. The critical points of Hopf bifurcation and the relationship of the stability satisfying with the adjustment coefficients are obtained from direct algebraic criterion. Furthermore, the bifurcation diagrams and Lyapunov exponents are presented and analyzed. The dynamical behaviors of the points with representative characteristics are identified and studied in detail. Both theoretical analysis and numerical simulations show that chaotic oscillations, which cannot stabilize the system, may occur with the changes of adjustment coefficients. To control the undesirable chaotic behaviors in this system, fuzzy sliding mode governor based on the sliding mode control (SMC) and the fuzzy logic are designed, and considering the bounded disturbance. Finally, series of numerical simulations are presented to verify the effectiveness of the proposed governor, which prove that the hydro-turbine governing system can maintain a better operation station under the designed governor. 相似文献