The Experts below are selected from a list of 258 Experts worldwide ranked by ideXlab platform

Claude H. Moog - One of the best experts on this subject based on the ideXlab platform.

  • Identifiability of discrete-time nonlinear systems
    IFAC Proceedings Volumes, 2004
    Co-Authors: Sven Nõmm, Claude H. Moog
    Abstract:

    Abstract Identifiability of discrete-time nonlinear systems is considered in a Generic Sense. Different concepts of identifiability are presented. Linear algebraic framework is used to study characterizations and relations between different concepts of identifiability. Main results are formulated in the form of theorems illustrated by examples.

  • Identifiability of nonlinear systems with application to HIV/AIDS models
    IEEE Transactions on Automatic Control, 2003
    Co-Authors: Xiaohua Xia, Claude H. Moog
    Abstract:

    In this note, we investigate different concepts of nonlinear identifiability in the Generic Sense. We work in the linear algebraic framework. Necessary and sufficient conditions are found for geometrical identifiability, algebraic identifiability and identifiability with known initial conditions. Relationships between different concepts are characterized. Constructive procedures are worked out for both Generic geometrical and algebraic identifiability of nonlinear systems. As an application of the theory developed, we study the identifiability properties of a four dimensional model of HIV/AIDS. The questions answered in this study include the minimal number of measurement of the variables for a complete determination of all parameters and the best period of time to make such measurements. This information will be useful in formulating guidelines for clinical practice.

André L. Tits - One of the best experts on this subject based on the ideXlab platform.

  • When is the multiaffine image of a cube a convex polygon
    Systems & Control Letters, 1993
    Co-Authors: Nam-kiu Tsing, André L. Tits
    Abstract:

    Abstract We give two simple sufficient conditions under which the multiaffine image in the complex plane of an m-dimensional cube is a convex polygon. A third condition which, in some Generic Sense, is necessary and sufficient is then obtained. Our conditions involve checking the locations of the image of the vertices of the cube. These results help determine whether a parameterized family of polynomials th stable.

  • On the Multiaffine Image of a Cube
    Robustness of Dynamic Systems with Parameter Uncertainties, 1992
    Co-Authors: Nam-kiu Tsing, André L. Tits
    Abstract:

    We give two simple sufficient conditions under which the multiaffine image on the complex plane of an m-dimensional cube is a convex polygon. A third condition which, in some Generic Sense, is necessary and sufficient is then obtained. Due to space constraints, most results are given without proof.

Nam-kiu Tsing - One of the best experts on this subject based on the ideXlab platform.

  • When is the multiaffine image of a cube a convex polygon
    Systems & Control Letters, 1993
    Co-Authors: Nam-kiu Tsing, André L. Tits
    Abstract:

    Abstract We give two simple sufficient conditions under which the multiaffine image in the complex plane of an m-dimensional cube is a convex polygon. A third condition which, in some Generic Sense, is necessary and sufficient is then obtained. Our conditions involve checking the locations of the image of the vertices of the cube. These results help determine whether a parameterized family of polynomials th stable.

  • On the Multiaffine Image of a Cube
    Robustness of Dynamic Systems with Parameter Uncertainties, 1992
    Co-Authors: Nam-kiu Tsing, André L. Tits
    Abstract:

    We give two simple sufficient conditions under which the multiaffine image on the complex plane of an m-dimensional cube is a convex polygon. A third condition which, in some Generic Sense, is necessary and sufficient is then obtained. Due to space constraints, most results are given without proof.

Felix Schulze - One of the best experts on this subject based on the ideXlab platform.

  • Generic uniqueness of expanders with vanishing relative entropy
    Mathematische Annalen, 2020
    Co-Authors: Alix Deruelle, Felix Schulze
    Abstract:

    We define a relative entropy for two self-similarly expanding solutions to mean curvature flow of hypersurfaces, asymptotic to the same cone at infinity. Adapting work of White (Indiana Univ Math J 36(3):567–602, 1987) and using recent results of Bernstein ( Asymptotic structure of almost eigenfunctions of drift laplacians on conical ends ) and Bernstein-Wang ( The space of asymptotically conical self-expanders of mean curvature flow ), we show that expanders with vanishing relative entropy are unique in a Generic Sense. This also implies that Generically locally entropy minimising expanders are unique.

  • Generic uniqueness of expanders with vanishing relative entropy
    Mathematische Annalen, 2020
    Co-Authors: Alix Deruelle, Felix Schulze
    Abstract:

    We define a relative entropy for two expanding solutions to mean curvature flow of hypersurfaces, asymptotic to the same cone at infinity. Adapting work of White and using recent results of Bernstein and Bernstein-Wang, we show that expanders with vanishing relative entropy are unique in a Generic Sense. This also implies that Generically locally entropy minimising expanders are unique.

Xiaohua Xia - One of the best experts on this subject based on the ideXlab platform.

  • Identifiability of nonlinear systems with application to HIV/AIDS models
    IEEE Transactions on Automatic Control, 2003
    Co-Authors: Xiaohua Xia, Claude H. Moog
    Abstract:

    In this note, we investigate different concepts of nonlinear identifiability in the Generic Sense. We work in the linear algebraic framework. Necessary and sufficient conditions are found for geometrical identifiability, algebraic identifiability and identifiability with known initial conditions. Relationships between different concepts are characterized. Constructive procedures are worked out for both Generic geometrical and algebraic identifiability of nonlinear systems. As an application of the theory developed, we study the identifiability properties of a four dimensional model of HIV/AIDS. The questions answered in this study include the minimal number of measurement of the variables for a complete determination of all parameters and the best period of time to make such measurements. This information will be useful in formulating guidelines for clinical practice.