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    Reduction of Physical and Constraint Degrees of Freedom of Redundant Formulated Multibody Systems 

    Source: Journal of Computational and Nonlinear Dynamics:;2016:;volume( 011 ):;issue: 003:;page 31010
    Author(s): Stadlmayr, Daniel; Witteveen, Wolfgang; Steiner, Wolfgang
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Commercial multibody system simulation (MBS) tools commonly use a redundant coordinate formulation as part of their modeling strategy. Such multibody systems subject to holonomic constraints result in secondorder dindex ...
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    The Use of Slack Variables in the Adjoint Method Handling Inequality Constraints in Optimal Control and the Application to Tumor Drug Dosage 

    Source: Journal of Computational and Nonlinear Dynamics:;2024:;volume( 020 ):;issue: 002:;page 21004-1
    Author(s): Eichmeir, Philipp; Nachbagauer, Karin; Steiner, Wolfgang
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this article, a modified gradient approach, based on the adjoint method, is introduced, to deal with optimal control problems involving inequality constraints. A common way to incorporate inequality constraints in the ...
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    The Use of the Adjoint Method for Solving Typical Optimization Problems in Multibody Dynamics 

    Source: Journal of Computational and Nonlinear Dynamics:;2015:;volume( 010 ):;issue: 006:;page 61011
    Author(s): Nachbagauer, Karin; Oberpeilsteiner, Stefan; Sherif, Karim; Steiner, Wolfgang
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The present paper illustrates the potential of the adjoint method for a wide range of optimization problems in multibody dynamics such as inverse dynamics and parameter identification. Although the equations and matrices ...
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    The Discrete Adjoint Gradient Computation for Optimization Problems in Multibody Dynamics 

    Source: Journal of Computational and Nonlinear Dynamics:;2017:;volume( 012 ):;issue: 003:;page 31016
    Author(s): Lauß, Thomas; Oberpeilsteiner, Stefan; Steiner, Wolfgang; Nachbagauer, Karin
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The adjoint method is a very efficient way to compute the gradient of a cost functional associated to a dynamical system depending on a set of input signals. However, the numerical solution of the adjoint differential ...
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    The Adjoint Method for Time-Optimal Control Problems 

    Source: Journal of Computational and Nonlinear Dynamics:;2020:;volume( 016 ):;issue: 002:;page 021003-1
    Author(s): Eichmeir, Philipp; Lauß, Thomas; Oberpeilsteiner, Stefan; Nachbagauer, Karin; Steiner, Wolfgang
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this article, we discuss a special class of time-optimal control problems for dynamic systems, where the final state of a system lies on a hyper-surface. In time domain, this endpoint constraint may be given by a scalar ...
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    Time-Optimal Control of Dynamic Systems Regarding Final Constraints 

    Source: Journal of Computational and Nonlinear Dynamics:;2021:;volume( 016 ):;issue: 003:;page 031003-1
    Author(s): Eichmeir, Philipp; Nachbagauer, Karin; Lauß, Thomas; Sherif, Karim; Steiner, Wolfgang
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Within the framework of this article, we pursue a novel approach for the determination of time-optimal controls for dynamic systems under observance of end conditions. Such problems arise in robotics, e.g., if the control ...
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