The Experts below are selected from a list of 195 Experts worldwide ranked by ideXlab platform

Zhiquan Wang - One of the best experts on this subject based on the ideXlab platform.

  • ICARCV - Stability Analysis of Nonlinear Distributed Parameter Switched Systems
    2006 9th International Conference on Control Automation Robotics and Vision, 2006
    Co-Authors: Xueping Dong, Zhiquan Wang
    Abstract:

    The general model of nonlinear distributed parameter switched systems was given by means of operator semigroup theory. On condition that the infinitesimal generator operators of all subsystems satisfy multiplication Commutative Law, stabilization of the nonlinear distributed parameter switched systems was discussed and the sufficient conditions of exponential stability were obtained via semigroup theory. As a specific example, the stable analysis of linear distributed parameter switched systems was studied as well.

  • Stability Analysis of Nonlinear Distributed Parameter Switched Systems
    2006 9th International Conference on Control Automation Robotics and Vision, 2006
    Co-Authors: Xueping Dong, Zhiquan Wang
    Abstract:

    The general model of nonlinear distributed parameter switched systems was given by means of operator semigroup theory. On condition that the infinitesimal generator operators of all subsystems satisfy multiplication Commutative Law, stabilization of the nonlinear distributed parameter switched systems was discussed and the sufficient conditions of exponential stability were obtained via semigroup theory. As a specific example, the stable analysis of linear distributed parameter switched systems was studied as well

A Swiech - One of the best experts on this subject based on the ideXlab platform.

  • Commutative Law for products of infinitely large isotropic random matrices
    Physical Review E, 2013
    Co-Authors: Z Burda, Giacomo Livan, A Swiech
    Abstract:

    : Ensembles of isotropic random matrices are defined by the invariance of the probability measure under the left (and right) multiplication by an arbitrary unitary matrix. We show that the multiplication of large isotropic random matrices is spectrally Commutative and self-averaging in the limit of infinite matrix size N→∞. The notion of spectral commutativity means that the eigenvalue density of a product ABC... of such matrices is independent of the order of matrix multiplication, for example, the matrix ABCD has the same eigenvalue density as ADCB. In turn, the notion of self-averaging means that the product of n independent but identically distributed random matrices, which we symbolically denote by AAA..., has the same eigenvalue density as the corresponding power A(n) of a single matrix drawn from the underlying matrix ensemble. For example, the eigenvalue density of ABCCABC is the same as that of A(2)B(2)C(3). We also discuss the singular behavior of the eigenvalue and singular value densities of isotropic matrices and their products for small eigenvalues λ→0. We show that the singularities at the origin of the eigenvalue density and of the singular value density are in one-to-one correspondence in the limit N→∞: The eigenvalue density of an isotropic random matrix has a power-Law singularity at the origin ~|λ|(-s) with a power se(0,2) when and only when the density of its singular values has a power-Law singularity ~λ(-σ) with a power σ=s/(4-s). These results are obtained analytically in the limit N→∞. We supplement these results with numerical simulations for large but finite N and discuss finite-size effects for the most common ensembles of isotropic random matrices.

Xueping Dong - One of the best experts on this subject based on the ideXlab platform.

  • ICARCV - Stability Analysis of Nonlinear Distributed Parameter Switched Systems
    2006 9th International Conference on Control Automation Robotics and Vision, 2006
    Co-Authors: Xueping Dong, Zhiquan Wang
    Abstract:

    The general model of nonlinear distributed parameter switched systems was given by means of operator semigroup theory. On condition that the infinitesimal generator operators of all subsystems satisfy multiplication Commutative Law, stabilization of the nonlinear distributed parameter switched systems was discussed and the sufficient conditions of exponential stability were obtained via semigroup theory. As a specific example, the stable analysis of linear distributed parameter switched systems was studied as well.

  • Stability Analysis of Nonlinear Distributed Parameter Switched Systems
    2006 9th International Conference on Control Automation Robotics and Vision, 2006
    Co-Authors: Xueping Dong, Zhiquan Wang
    Abstract:

    The general model of nonlinear distributed parameter switched systems was given by means of operator semigroup theory. On condition that the infinitesimal generator operators of all subsystems satisfy multiplication Commutative Law, stabilization of the nonlinear distributed parameter switched systems was discussed and the sufficient conditions of exponential stability were obtained via semigroup theory. As a specific example, the stable analysis of linear distributed parameter switched systems was studied as well

Elizabeth Warren - One of the best experts on this subject based on the ideXlab platform.

  • The role of arithmetic structure in the transition from arithmetic to algebra
    Mathematics Education Research Journal, 2003
    Co-Authors: Elizabeth Warren
    Abstract:

    This paper investigates students’ understanding of the associative Law, Commutative Law, and addition and division as general processes after they have completed their primary school education. All these understandings are believed to assist successful transition from arithmetic to algebra. A written test was administered to 672 students. The results identified difficulties students are experiencing with these processes. Implications for teaching algebra at both primary and secondary levels are discussed.

Fang Zhi-geng - One of the best experts on this subject based on the ideXlab platform.

  • Intuitionistic fuzzy numbers decision-making method based on grey incidence analysis and MYCIN certainty factor
    Control and Decision, 2020
    Co-Authors: Fang Zhi-geng
    Abstract:

    A method based on grey incidence analysis and MYCIN uncertainty factor is proposed for decision-making problems with the attribute values of corresponding alternatives in the form of intuitionistic fuzzy numbers.According to the score function of intuitionistic fuzzy numbers,the MYCIN certainty factors of different alternatives in different indices are obtained.And the trust degrees of different indices are determined by using the grey incidence analysis.Then,the certainty factor fusion method in different indices is deduced to get the optimal alternative.It is proved that the fusion method satisfies the Commutative Law and the associative Law.And the best alternative is obtained by using the proposed method.The problem of computational complexity and synthetic instability is solved while combining D-S theory and decision-making.

  • Fractional order grey reducing generation operator and its properties
    2015 IEEE International Conference on Grey Systems and Intelligent Services (GSIS), 2015
    Co-Authors: Zeng Bo, Liu Si-feng, Fang Zhi-geng
    Abstract:

    By utilizing Gamma function expanded for integer factorial, this paper expands one order reducing generation operator into integer order reducing generation operator and fractional order reducing generation operator, and gives the analytical expression of fractional order reducing generation operator. Actually, one order reducing generation operator and integer order reducing generation operator are both special cases of fractional order reducing generation operator. Theoretical proof and numerical simulation shows that fractional order reducing generation operator satisfies Commutative Law, exponential Law and other properties. Expanding the reducing generation operator would help develop grey prediction model with fractional order operators and widen the application fields of the grey prediction model.

  • Study on expansion and properties of grey accumulating generation operator
    2015 IEEE International Conference on Grey Systems and Intelligent Services (GSIS), 2015
    Co-Authors: Zeng Bo, Liu Si-feng, Fang Zhi-geng
    Abstract:

    By utilizing Gamma function expanded for integer factorial, this paper deduces the analytical expression of integer order accumulating generation operator based on the one order accumulating generation operator, then expands the integer order accumulating generation operator into the fractional order accumulating generation operator, and gives the analytical expression of fractional order accumulating generation operator. Actually, one order accumulating generation operator and integer order accumulating generation operator are both special cases of the fractional order accumulating generation operator. Theoretical proof and numerical simulation proves that the fractional order accumulating generation operator satisfies Commutative Law and exponential Law. Study on the fractional order accumulating generation operator would help develop grey prediction model with the fractional order operators and would widen the application fields of the grey prediction model.