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In this work we developed a new problem solution methodology of contact interaction of acoustic medium with resilient finite bodies of cylindrical form, based on application of boundary integral equations method in conjunction with series…

Atmospheric and Oceanic Physics · Physics 2007-05-23 V. I. Demchuk , B. J. Datsko , A. N. Ponomaryov

We propose a CompliantVLA-adaptor that augments the state-of-the-art Vision-Language-Action (VLA) models with vision-language model (VLM)-informed context-aware variable impedance control (VIC) to improve the safety and effectiveness of…

Force modulation of robotic manipulators has been extensively studied for several decades. However, it is not yet commonly used in safety-critical applications due to a lack of accurate interaction contact modeling and weak performance…

Robotics · Computer Science 2023-06-13 Lasitha Wijayarathne , Ziyi Zhou , Ye Zhao , Frank L. Hammond

We extend the incremental potential contact (IPC) model for contacting elastodynamics to resolve systems composed of codimensional DOFs in arbitrary combination. This enables a unified, interpenetration-free, robust, and stable simulation…

Graphics · Computer Science 2021-05-07 Minchen Li , Danny M. Kaufman , Chenfanfu Jiang

Although autonomous control of robotic manipulators has been studied for several decades, they are not commonly used in safety-critical applications due to lack of safety and performance guarantees - many of them concerning the modulation…

Robotics · Computer Science 2020-04-22 Lasitha Wijayarathne , Frank L. Hammond

In this paper we present an abstract nonsmooth optimization problem for which we recall existence and uniqueness results. We show a numerical scheme to approximate its solution. The theory is later applied to a sample static contact problem…

Optimization and Control · Mathematics 2023-09-19 Anna Ochal , Michal Jureczka , Piotr Bartman

Existing works on multi-agent time-varying optimization allow agents to asynchronously communicate and/or compute, but do not allow asynchronous sampling of objectives. Sampling can be difficult to synchronize, and we therefore present a…

Optimization and Control · Mathematics 2025-08-21 Gabriel Behrendt , Zachary I. Bell , Matthew Hale

We present a variational integrator based on the Lobatto quadrature for the time integration of dynamical systems issued from the least action principle. This numerical method uses a cubic interpolation of the states and the action is…

Numerical Analysis · Mathematics 2025-10-30 François Dubois , Juan Antonio Rojas-Quintero

Research on Multi-rotor Aerial Vehicles (MAVs) has experienced remarkable advancements over the past two decades, propelling the field forward at an accelerated pace. Through the implementation of motion control and the integration of…

Robotics · Computer Science 2023-12-06 Jiawei Xu

Force/torque feedback can substantially improve Vision-Language-Action (VLA) models on contact-rich manipulation, but most existing approaches fuse all modalities at a single operating frequency. This design ignores the mismatched sampling…

With the increasing demand for the accuracy of numerical simulation of pavement mechanics, the variational inequality model and its induced finite element method which can simulate the interlayer contact state becomes a potential solution.…

Numerical Analysis · Mathematics 2024-06-10 Zhizhuo Zhang , Xiaobing Nie , Mikaël Barboteu , Jinde Cao

Variational integrators are a special kind of geometric discretisation methods applicable to any system of differential equations that obeys a Lagrangian formulation. In this thesis, variational integrators are developed for several…

Numerical Analysis · Mathematics 2014-12-08 Michael Kraus

We discuss a novel approach that allows to obtain effective potentials from ab initio trajectories. Our method consists in fitting the weighted radial distribution functions obtained from the ab initio data with the ones obtained from…

Disordered Systems and Neural Networks · Physics 2018-02-28 Antoine Carre , Simona Ispas , Jurgen Horbach , Walter Kob

We propose a novel and efficient lifting approach for the optimal control of rigid-body systems with contacts to improve the convergence properties of Newton-type methods. To relax the high nonlinearity, we consider the state, acceleration,…

Optimization and Control · Mathematics 2022-10-25 Sotaro Katayama , Toshiyuki Ohtsuka

Variational methods are of fundamental importance and widely used in theoretical physics, especially for strongly interacting systems. In this work, we present a set of variational equations of state (VES) for pure states of an interacting…

Strongly Correlated Electrons · Physics 2023-07-04 Wenxin Ding

Optimal control problems for underactuated mechanical systems can be seen as a higher-order variational problem subject to higher-order constraints (that is, when the Lagrangian function and the constraints depend on higher-order…

Mathematical Physics · Physics 2014-10-02 Leonardo Colombo , Fernando Jiménez , David Martín de Diego

A new method is introduced for analysis of interactions between time-dependent coupled oscillators, based on the signals they generate. It distinguishes unsynchronized dynamics from noise-induced phase slips, and enables the evolution of…

Data Analysis, Statistics and Probability · Physics 2012-08-09 Tomislav Stankovski , Andrea Duggento , Peter V. E. McClintock , Aneta Stefanovska

An interesting family of geometric integrators for Lagrangian systems can be defined using discretizations of the Hamilton's principle of critical action. This family of geometric integrators is called variational integrators. In this…

Mathematical Physics · Physics 2015-06-16 Leonardo Colombo , David Martín de Diego , Marcela Zuccalli

Living systems have time-evolving interactions that, until recently, could not be identified accurately from recorded time series in the presence of noise. Stankovski et al. (Phys. Rev. Lett. 109 024101, 2012) introduced a method based on…

Data Analysis, Statistics and Probability · Physics 2013-01-14 Andrea Duggento , Tomislav Stankovski , Peter V. E. McClintock , Aneta Stefanovska

This paper is concerned with a space-time adaptive numerical method for instationary porous media flows with nonlinear interaction between porosity and pressure, with focus on problems with discontinuous initial porosities. A convergent…

Numerical Analysis · Mathematics 2025-08-27 Markus Bachmayr , Simon Boisserée
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