The Experts below are selected from a list of 303 Experts worldwide ranked by ideXlab platform

Jer-nan Juang - One of the best experts on this subject based on the ideXlab platform.

  • Multiple Center of Mass Space Images of Single Objects and Their Impact on Path Planning
    The International Journal of Robotics Research, 2000
    Co-Authors: William R. Doggett, William C. Messner, Jer-nan Juang
    Abstract:

    The Center of Mass space is a convenient space for planning motions that minimize reaction forces at the manipulator’s base or optimize the stability of a mechanism. A unique problem associated with path planning in the Center of Mass space is the potential existence of multiple Center of Mass images for a single Cartesian obstacle, since a single Center of Mass location can correspond to multiple manipulator joint configurations. The existence of multiple images results in a need to either maintain multiple Center of Mass obstacle maps or to update obstacle locations when the manipulator passes through a singularity, such as when it moves from an elbow-up to an elbow-down configuration. To illustrate the concepts presented in this paper, a path is planned for an example task requiring motion through multiple Center of Mass space maps. The object of the path-planning algorithm is to locate the path with a bang-bang acceleration profile that minimizes the manipulator’s base reactions in the presence of a s...

  • Planning Paths Through Singularities in the Center of Mass Space
    Guidance Navigation and Control Conference and Exhibit, 1998
    Co-Authors: William R. Doggett, William C. Messner, Jer-nan Juang
    Abstract:

    The Center of Mass space is a convenient space for planning motions that minimize reaction forces at the robot's base or optimize the stability of a mechanism. A unique problem associated with path planning in the Center of Mass space is the potential existence of multiple Center of Mass images for a single Cartesian obstacle, since a single Center of Mass location can correspond to multiple robot joint configurations. The existence of multiple images results in a need to either maintain multiple Center of Mass obstacle maps or to update obstacle locations when the robot passes through a singularity, such as when it moves from an elbow-up to an elbow-down configuration. To illustrate the concepts presented in this paper, a path is planned for an example task requiring motion through multiple Center of Mass space maps. The object of the path planning algorithm is to locate the bang- bang acceleration profile that minimizes the robot's base reactions in the presence of a single Cartesian obstacle. To simplify the presentation, only non-redundant robots are considered and joint non-linearities are neglected.

Vladimir I. Man’ko - One of the best experts on this subject based on the ideXlab platform.

  • Center-of-Mass Tomography and Wigner Function for Multimode Photon States
    International Journal of Theoretical Physics, 2018
    Co-Authors: Ivan V. Dudinets, Vladimir I. Man’ko
    Abstract:

    Tomographic probability representation of multimode electromagnetic field states in the scheme of Center-of-Mass tomography is reviewed. Both connection of the field state Wigner function and observable Weyl symbols with the Center-of-Mass tomograms as well as connection of the Gronewold kernel with the Center-of-Mass tomographic kernel determining the noncommutative product of the tomograms are obtained. The dual Center-of-Mass tomogram of the photon states are constructed and the dual tomographic kernel is obtained. The models of other generalized Center-of-Mass tomographies are discussed. Example of two-mode even and odd Schrodinger cat states is presented in details.

  • Fidelity in the Center-of-Mass tomography
    Journal of Russian Laser Research, 2010
    Co-Authors: Olga V. Man'ko, Vladimir I. Man’ko
    Abstract:

    The notion of the Center-of-Mass tomogram is introduced for describing the classical states of multipartite systems. The Center-of-Mass tomographic-probability representation of the quantum states is used to calculate the fidelity of multipartite quantum states in an explicit integral form.

  • Quantum transitions in the Center-of-Mass tomographic probability representation
    Physical Review A, 2005
    Co-Authors: Anton Arkhipov, Vladimir I. Man’ko
    Abstract:

    Propagators for quantum evolution equation of multipartite systems in the Center-of-Mass probability representation are introduced. Properties of these propagators and their relation to the Green function of Schr\"odinger equation and propagator of Moyal evolution equation are studied. Examples of quadratic systems are considered and explicit expressions for the Center of Mass tomographic propagator are obtained.

William R. Doggett - One of the best experts on this subject based on the ideXlab platform.

  • Multiple Center of Mass Space Images of Single Objects and Their Impact on Path Planning
    The International Journal of Robotics Research, 2000
    Co-Authors: William R. Doggett, William C. Messner, Jer-nan Juang
    Abstract:

    The Center of Mass space is a convenient space for planning motions that minimize reaction forces at the manipulator’s base or optimize the stability of a mechanism. A unique problem associated with path planning in the Center of Mass space is the potential existence of multiple Center of Mass images for a single Cartesian obstacle, since a single Center of Mass location can correspond to multiple manipulator joint configurations. The existence of multiple images results in a need to either maintain multiple Center of Mass obstacle maps or to update obstacle locations when the manipulator passes through a singularity, such as when it moves from an elbow-up to an elbow-down configuration. To illustrate the concepts presented in this paper, a path is planned for an example task requiring motion through multiple Center of Mass space maps. The object of the path-planning algorithm is to locate the path with a bang-bang acceleration profile that minimizes the manipulator’s base reactions in the presence of a s...

  • Planning Paths Through Singularities in the Center of Mass Space
    Guidance Navigation and Control Conference and Exhibit, 1998
    Co-Authors: William R. Doggett, William C. Messner, Jer-nan Juang
    Abstract:

    The Center of Mass space is a convenient space for planning motions that minimize reaction forces at the robot's base or optimize the stability of a mechanism. A unique problem associated with path planning in the Center of Mass space is the potential existence of multiple Center of Mass images for a single Cartesian obstacle, since a single Center of Mass location can correspond to multiple robot joint configurations. The existence of multiple images results in a need to either maintain multiple Center of Mass obstacle maps or to update obstacle locations when the robot passes through a singularity, such as when it moves from an elbow-up to an elbow-down configuration. To illustrate the concepts presented in this paper, a path is planned for an example task requiring motion through multiple Center of Mass space maps. The object of the path planning algorithm is to locate the bang- bang acceleration profile that minimizes the robot's base reactions in the presence of a single Cartesian obstacle. To simplify the presentation, only non-redundant robots are considered and joint non-linearities are neglected.

William C. Messner - One of the best experts on this subject based on the ideXlab platform.

  • Multiple Center of Mass Space Images of Single Objects and Their Impact on Path Planning
    The International Journal of Robotics Research, 2000
    Co-Authors: William R. Doggett, William C. Messner, Jer-nan Juang
    Abstract:

    The Center of Mass space is a convenient space for planning motions that minimize reaction forces at the manipulator’s base or optimize the stability of a mechanism. A unique problem associated with path planning in the Center of Mass space is the potential existence of multiple Center of Mass images for a single Cartesian obstacle, since a single Center of Mass location can correspond to multiple manipulator joint configurations. The existence of multiple images results in a need to either maintain multiple Center of Mass obstacle maps or to update obstacle locations when the manipulator passes through a singularity, such as when it moves from an elbow-up to an elbow-down configuration. To illustrate the concepts presented in this paper, a path is planned for an example task requiring motion through multiple Center of Mass space maps. The object of the path-planning algorithm is to locate the path with a bang-bang acceleration profile that minimizes the manipulator’s base reactions in the presence of a s...

  • Planning Paths Through Singularities in the Center of Mass Space
    Guidance Navigation and Control Conference and Exhibit, 1998
    Co-Authors: William R. Doggett, William C. Messner, Jer-nan Juang
    Abstract:

    The Center of Mass space is a convenient space for planning motions that minimize reaction forces at the robot's base or optimize the stability of a mechanism. A unique problem associated with path planning in the Center of Mass space is the potential existence of multiple Center of Mass images for a single Cartesian obstacle, since a single Center of Mass location can correspond to multiple robot joint configurations. The existence of multiple images results in a need to either maintain multiple Center of Mass obstacle maps or to update obstacle locations when the robot passes through a singularity, such as when it moves from an elbow-up to an elbow-down configuration. To illustrate the concepts presented in this paper, a path is planned for an example task requiring motion through multiple Center of Mass space maps. The object of the path planning algorithm is to locate the bang- bang acceleration profile that minimizes the robot's base reactions in the presence of a single Cartesian obstacle. To simplify the presentation, only non-redundant robots are considered and joint non-linearities are neglected.

Lucile Laulin - One of the best experts on this subject based on the ideXlab platform.

  • On the Center of Mass of the elephant random walk
    Stochastic Processes and their Applications, 2021
    Co-Authors: Bernard Bercu, Lucile Laulin
    Abstract:

    Our goal is to investigate the asymptotic behavior of the Center of Mass of the elephant random walk, which is a discrete-time random walk on integers with a complete memory of its whole history. In the diffusive and critical regimes, we establish the almost sure convergence, the law of iterated logarithm and the quadratric strong law for the Center of Mass of the elephant random walk. The asymptotic normality of the Center of Mass, properly normalized, is also provided. Finally, we prove a strong limit theorem for the Center of Mass in the superdiffusive regime. All our analysis relies on asymptotic results for multi-dimensional martingales.

  • On the Center of Mass of the elephant random walk
    Stochastic Processes and their Applications, 2021
    Co-Authors: Bernard Bercu, Lucile Laulin
    Abstract:

    Abstract Our goal is to investigate the asymptotic behavior of the Center of Mass of the elephant random walk, which is a discrete-time random walk on integers with a complete memory of its whole history. In the diffusive and critical regimes, we establish the almost sure convergence, the law of iterated logarithm and the quadratic strong law for the Center of Mass of the elephant random walk. The asymptotic normality, properly normalized, is also provided. Finally, we prove a strong limit theorem for the Center of Mass in the superdiffusive regime. All our analysis relies on asymptotic results for multi-dimensional martingales.