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关于复模态参数的冗余性 总被引:1,自引:0,他引:1
生成仿真传递函数是考核模态识别算法和评估模态分析软件的不可缺少的环节.比较可行的3种计算方案表明:若选择将传递函数表示为复模态参数的展开式,则可以自由设定仿真模态的特性,如密频、大阻尼和复模态;然而,即使采用这种格式也不能随意设置一组复模态振型,因为这种格式的表观参数个数大于物理参数个数;故而,若对应的物理参数有意义,那么复模态参数必须满足一组约束关系.通过分析复模态系统的特征值问题,和复模态参数反演物理参数的方程式,给出了复模态参数间的一组非线性冗余约束.讨论了实模态、无阻尼和不完全模态等特殊情形的冗余约束具体形式与独立参数的个数,值得注意的是,对于实模态系统,冗余约束自动满足.给出冗余约束在传递函数矩阵和一列传递函数上的等价形式.这些结果有助于产生仿真传递函数,实施优化型识别算法,以及评估识别结果;还可用来评价残余模态和识别完整性. 相似文献
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The exploitation of geothermal power is a renewable energy source with great potential in future. But the exploration and development of deep geothermal energy is connected with high cost and risk. These require a reliable functionality of geological heat exchanger. However the geothermal reservoirs are really complicated as phenomena and concrete downhole data are not completely discovered at present. In order to simulate them, complex modelings combined with different time scale are necessary. Recently, the cellular automata (CA) method is being developed and widely used for solving many complex problems in different fields. Here we introduced CA method combined with Navier-Stoke equation and heat transfer; the domains of reservoirs are initially discretized into many lattice cells. The different cell type and their physical properties (e.g. water cell, porous cell, etc.) are introduced. Thermodynamically correct computation and computing fluid flow in different formations are performed. The paper will give some computational results, showing the efficiency and accuracy of this method, in order to complete the phenomena of complex geothermal problem. (© 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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Hong Seo Ryoo 《Annals of Operations Research》2005,133(1-4):209-228
Based upon the general tabu search methodology, this paper develops a robust metaheuristic algorithm for the redundancy optimization
in large-scale complex system reliability that performs a rigorous search of the “attractive” feasible space and is capable
of escaping from a local solution.
An illustrative example is provided and extensive computational results are reported on two test problems from the literature
(Aggarwal, 1976; Shi, 1987) and also on randomly generated large-scale instances of complex systems with up to 200 components.
The computational results indicate that the proposed metaheuristic algorithm possesses a superior robustness and efficiency
for solving the class of hard optimization problems studied in this paper. 相似文献
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A theory for soliton automata is developed and applied to the analysis and prediction of patterns in their behavior. A complete characterization and method of construction of 1-periodic particles is given. A general evolution theorem (GET) is obtained which provides significant information for a state in terms of preceding states. Application of this theorem yields several interesting results predicting periodicity and solitonic collisions. The GET explains and is based on a fundamental property of soliton automata, observed and analyzed in this paper, namely that pieces of information are lost on the left and reappear on the right. 相似文献
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We introduce a new geometric tool for analyzing groups of finite automata. To each finite automaton we associate a square complex. The square complex is covered by a product of two trees iff the automaton is bi-reversible. Using this method we give examples of free groups and of Kazhdan groups which are generated by the different states of one finite (bi-reversible) automaton. We also reprove the theorem of Macedońska, Nekrashevych, Sushchansky, on the connection between bi-reversible automata and the commensurator of a regular tree. 相似文献
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本文分解Z 自动机成为ω 自动机偶的复合;建立了Z的L(MP)理论,利用Z 自动机的技巧证明了Z的L(MP)理论的可判定性.作为应用,证明了有限状态过程的正确性问题是可判定的. 相似文献
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本文对提出的最大乘积型Fuzzy文法与最大乘积型Fuzzy自动机的关系作了详细讨论,得出了两个重要的结论。即:由给定的最大乘积型Fuzzy正规文法可构造一个最大乘积型Fuzzy自动机使得二者接受的语言集相同,反之亦然。从而达到自动识别语言的目的。 相似文献
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在文献[1]的基础上,讨论了最大乘积型Fuzzy上下文无关文法与最大乘积型Fuzzy下推自动机的关系,即:由给定的最大乘积型Fuzzy上下文无关文法可构造一个最大乘积型Fuzzy下推自动机使得二者接受的语言集相同,反之亦然。从而达到自动识别语言的目的。 相似文献
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We investigate structures recognizable by finite state automata with an input tape of length a limit ordinal. At limits, the set of states which appear unboundedly often before the limit are mapped to a limit state. We describe a method for proving non-automaticity and apply this to determine the optimal bounds for the ranks of linear orders recognized by such automata. 相似文献
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TheEquivalence ofthePFAandOFAAutomataTheEquivalenceofthePFAandOFAAutomata¥//LiGuocaiandWangChuanhong(DepartmentofMathematics,... 相似文献
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Johann Reger Klaus Schmidt 《Mathematical and Computer Modelling of Dynamical Systems: Methods, Tools and Applications in Engineering and Related Sciences》2013,19(3-4):253-285
In this paper, we address the modeling, analysis and control of finite state automata, which represent a standard class of discrete event systems. As opposed to graph theoretical methods, we consider an algebraic framework that resides on the finite field <formula form="inline">${\Op F}_2$</formula> which is defined on a set of two elements with the operations addition and multiplication, both carried out modulo 2. The key characteristic of the model is its functional completeness in the sense that it is capable of describing most of the finite state automata in use, including non-deterministic and partially defined automata. Starting from a graphical representation of an automaton and applying techniques from Boolean algebra, we derive the transition relation of our finite field model. For cases in which the transition relation is linear, we develop means for treating the main issues in the analysis of the cyclic behavior of automata. This involves the computation of the elementary divisor polynomials of the system dynamics, and the periods of these polynomials, which are shown to completely determine the cyclic structure of the state space of the underlying linear system. Dealing with non-autonomous linear systems with inputs, we use the notion of feedback in order to specify a desired cyclic behavior of the automaton in the closed loop. The computation of an appropriate state feedback is achieved by introducing an image domain and adopting the well-established polynomial matrix method to linear discrete systems over the finite field <formula form="inline">${\Op F}_2$</formula>. Examples illustrate the main steps of our method. 相似文献
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Fabrice Chevalier Deepak DSouza M. Raj Mohan Pavithra Prabhakar 《Annals of Pure and Applied Logic》2009,161(3):324-336
We extend some of the classical connections between automata and logic due to Büchi (1960) [5] and McNaughton and Papert (1971) [12] to languages of finitely varying functions or “signals”. In particular, we introduce a natural class of automata for generating finitely varying functions called ’s, and show that it coincides in terms of language definability with a natural monadic second-order logic interpreted over finitely varying functions Rabinovich (2002) [15]. We also identify a “counter-free” subclass of ’s which characterise the first-order definable languages of finitely varying functions. Our proofs mainly factor through the classical results for word languages. These results have applications in automata characterisations for continuously interpreted real-time logics like Metric Temporal Logic (MTL) Chevalier et al. (2006, 2007) [6] and [7]. 相似文献
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研究了概率有限自动机的同态(弱同态)、有效划分等代数性质.首先,提出了完全的、不可约的概率有限自动机,概率有限自动机的并积等概念.然后,讨论了两个概率有限自动机的级联积、圈积、并积的有效划分与其因子的有效划分之间的关系,证明了在一定条件下两个概率有限自动机的级联积(并积)的商概率有限自动机与其因子的商概率有限自动机的级联积(并积)是相等的.最后,得到了概率有限自动机的极大有效划分的一个刻画. 相似文献
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Bo Chen Fangyue Chen Junbiao Guan Genaro J. Mart ''{ i}nez 《Journal of Applied Analysis & Computation》2016,6(4):1164-1179
By introducing a sequence-block transformation and vector-block transformation, we explore the dynamical properties of hybrid cellular automation (HCA) and hybrid cellular automation with memory (HCAM) in the framework of symbolic dynamics. As the local evolution rules of HCA and HCAM are not-uniform, the new uniform cellular automata (CAs) with multiple states are constructed by specifical the block transformations. Furthermore, because the new CA rules are topologically conjugate with the originals, the complex dynamics of the HCA and HCAM rules can be investigated via the new CA rules. 相似文献