共查询到18条相似文献，搜索用时 140 毫秒
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一般地,若T满足(ω)性质,即使K是有限秩算子或紧算子,T+K也不一定有(ω)性质.根据本质逼近点谱的变形与一致可逆算子定义的谱集,给出了(ω)性质及其摄动的充要条件,并将所得结论应用于代数拟A类算子. 相似文献
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广义(ω')性质是Weyl型定理的一种新变化.利用由一致Fredholm指标算子定义的新谱集,研究了算子T摄动有限秩算子后的广义(ω')性质,其中T是a-isoloid的,并将主要结果应用于几类算子. 相似文献
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在本文中,我们研究了无圈图的Laplacian谱半径与图的匹配数之间的关系,得到了Laplacian谱半径的与匹配数有关的一个精确下界。 相似文献
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本文中,我们证明了算子T具有属性（β）当且仅当其广义Aluthge变换具有（β）属性,T具有（β）ε属性当且仅当具有（β）ε属性,T是次可分解算子当且仅当是次可分解算子。 相似文献
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海南东环铁路在海口段兼顾城市轻轨,线路沿海口市南海大道走行,采用桥梁形式,受城市地形影响,桥梁小半径曲线较多,最小半径仅为500m。桥梁采用900T预制箱梁,国内外能够架设900T箱梁的运架设备能够架设的最小全线半径为2000m,为此,该设备需进行研究创新,架桥机的辅支腿为研制的重要部件。 相似文献
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在教学和科研中,尹华焱、杨学枝等一批教学工作者提出了大批三角形有关的不等式,本文解决了有关三角形内切圆半径及角平分的一个不等式,并在此基础上建立了一个有关内切圆半径和外接圆半径的新不等式。 相似文献
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F.M. Reza 《Journal of The Franklin Institute》1981,312(5):327-334
The paper relates the power engineering problem of the extremal values of effective energy flow to a well established branch of mathematics; namely, the spectral analysis of linear operators. Variation of the effective energy flow in a linear time-invariant power distribution system is studied in the light of numerical range of the operator representing the system [Eqs. (18, 19)]. A knowledge of this range and its extremal values depends on the evaluation of eigenvalues and eigenvectors of a complex network function. In most cases an exact evaluation is practically unattainable (Section V). Simple and practical estimations of the energy dissipation range are presented. The novel spectral approach to energy problems may hopefully find useful applications in power transmission and distribution. 相似文献
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The problem of asymptotic stability of linear neutral systems with multiple delays is addressed in this article. Using the characteristic equation approach, new delay-independent stability criteria are derived in terms of the spectral radius of modulus matrices. The structure information of the system matrices are taken into consideration in the proposed stability criteria, thus the conservatism found in the literature can be significantly reduced. Simple examples are given to demonstrate the validity of the criteria proposed and to compare them with the existing ones. 相似文献
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The asymptotic stability of linear neutral systems with a single delay is investigated in this article. Based on the characteristic equation, new algebraic criteria for the stability of the system are derived in terms of the spectral radius of corresponding modulus matrices. The significance of our new criteria is that it takes into consideration the structure information of the system matrices, thus reducing the conservatism found in the literature. Numerical examples are given to demonstrate the new stability criteria and to compare them with the previous results in the literature. 相似文献
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《Journal of The Franklin Institute》1986,321(5):261-272
Two simple methods of model reduction over a frequency interval are proposed. In both of the procedures the reduced model is chosen so that its spectral amplitude function matches with that of the original system in a specified frequency band. In the first method we develop a polynomial approximation to the spectral function of the original system. In the second method we force the spectral function of the reduced order model to coincide with that of the original system at certain chosen frequency points. The frequency responses of the reduced models obtained by both methods match fairly well with that of the original system. The virtue of this method is that it can be applied to systems of which only frequency response data are available and not the transfer function. 相似文献
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《Journal of The Franklin Institute》2022,359(1):619-636
The discrete-time algebraic Riccati equation (DARE) have extensive applications in optimal control problems. We provide new theoretical supports to the stability properties of solutions to the DARE and reduce the convergence conditions under which the accelerated fixed-point iteration (AFPI) can be applied to compute the numerical solutions of DARE. In particular, we verify that the convergence of AFPI is R-superlinear when the spectral radius of the closed-loop matrix is greater than 1, which is shown by mild assumption and only using primary matrix theories. Numerical examples are shown to illustrate the consistency and effectiveness of our theoretical results. 相似文献
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F.M. Reza 《Journal of The Franklin Institute》1983,316(3):279-290
A new theorem expands the domain of the scalar immittance functions Z(p) to the operator Z(T) where T(s) is an invertible linear passive n-port system. Elements R, L, C of Z(p) are replaced by operators RI, LT, and [CT] - 1. All frequency transformations may be considered contained in this theorem when T is a scalar. 相似文献