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Picking up, laying down, colliding, rolling, and peeling are partial-contact interactions involving moving discontinuities. We examine the balances of momentum and energy across a moving discontinuity in a string, with allowance for…

Classical Physics · Physics 2017-05-30 H. Singh , J. A. Hanna

We consider the problem of finding optimally stable polynomial approximations to the exponential for application to one-step integration of initial value ordinary and partial differential equations. The objective is to find the largest…

Numerical Analysis · Mathematics 2013-01-10 David I. Ketcheson , Aron J. Ahmadia

The attitude stabilization of a micro-satellite employing a variable-amplitude cold gas thruster which reflects as a time varying gain on the control input is considered. Existing literature uses a persistence filter based approach that…

Systems and Control · Electrical Eng. & Systems 2022-07-15 S. P. Arjun Ram , Maruthi R Akella

It is a known fact that not all controllable systems can be asymptotically stabilized by a continuous static feedback. Several approaches have been developed throughout the last decades, including time-varying, dynamical and even…

Optimization and Control · Mathematics 2018-06-25 Pavel Osinenko , Lukas Beckenbach , Stefan Streif

The performances of braking control systems for robotic platforms, e.g., assisted and autonomous vehicles, airplanes and drones, are deeply influenced by the road-tire friction experienced during the maneuver. Therefore, the availability of…

Robotics · Computer Science 2022-11-07 F. Crocetti , G. Costante , M. L. Fravolini , P. Valigi

The stability of the orbital motion of two long cylindrical magnets interacting exclusively with magnetic forces is described. To carry out analytical studies a model of magnetically interacting symmetric tops [1] is used. The model was…

Mathematical Physics · Physics 2011-01-18 Stanislav Zub

We investigate the dynamics of finite degree-of-freedom, planar mechanical systems with multiple sliding, unilateral frictional point contacts. A complete classification of systems with 2 sliding contacts is given. The contact-mode based…

Classical Physics · Physics 2017-05-24 Péter L. Várkonyi

For successful object manipulation with robotic hands, it is important to ensure that the object remains in the grasp at all times. In addition to grasp constraints associated with slipping and singular hand configurations, excessive…

Robotics · Computer Science 2018-11-28 Wenceslao Shaw Cortez , Denny Oetomo , Chris Manzie , Peter Choong

A commonly used approach to study stability in a complex system is by analyzing the Jacobian matrix at an equilibrium point of a dynamical system. The equilibrium point is stable if all eigenvalues have negative real parts. Here, by…

Populations and Evolution · Quantitative Biology 2016-09-02 James P. L. Tan

We discuss the stick-slip motion of an elastic block sliding along a rigid substrate. We argue that for a given external shear stress this system shows a discontinuous nonequilibrium transition from a uniform stick state to uniform sliding…

Soft Condensed Matter · Physics 2009-11-10 Efim A. Brener , S. V. Malinin , V. I. Marchenko

We formulate the quasi-static elastic contact problem with Coulomb friction in a very general setting, with possible jumps in time for both the load and the solution. Exploiting ideas originating in our recent paper [4], we exhibit an…

Analysis of PDEs · Mathematics 2025-08-08 Patrick Ballard , Flaviana Iurlano

Fast grasping is critical for mobile robots in logistics, manufacturing, and service applications. Existing methods face fundamental challenges in impact stabilization under high-speed motion, real-time whole-body coordination, and…

Robotics · Computer Science 2026-04-15 Heng Tao , Yiming Zhong , Zemin Yang , Yuexin Ma

In this paper, we prove the exponential stability property of a class of mechanical systems represented in the port-Hamiltonian framework. To this end, we propose a Lyapunov candidate function different from the Hamiltonian of the system.…

Systems and Control · Electrical Eng. & Systems 2021-10-25 Carmen Chan-Zheng , Pablo Borja , Nima Monshizadeh , Jacquelien M. A. Scherpen

A new method is proposed for switching on interactions that are compatible with global symmetries and conservation laws of the original free theory. The method is applied to the control of stability in Lagrangian and non-Lagrangian theories…

High Energy Physics - Theory · Physics 2016-04-12 D. S. Kaparulin , S. L. Lyakhovich , A. A. Sharapov

The stability analysis of a class of discontinuous discrete-time systems is studied in this paper. The system under study is modeled as a feedback interconnection of a linear system and a set-valued nonlinearity. An equivalent…

Systems and Control · Electrical Eng. & Systems 2022-08-12 Francesco Ferrante , Giorgio Valmorbida

Robotic grasping is facing a variety of real-world uncertainties caused by non-static object states, unknown object properties, and cluttered object arrangements. The difficulty of grasping increases with the presence of more uncertainties,…

Robotics · Computer Science 2025-09-10 Hao Chen , Takuya Kiyokawa , Weiwei Wan , Kensuke Harada

Rotational displacement about the grasping point is a common grasp failure when an object is grasped at a location away from its center of gravity. Tactile sensors with soft surfaces, such as GelSight sensors, can detect the rotation…

Robotics · Computer Science 2021-08-03 Raj Kolamuri , Zilin Si , Yufan Zhang , Arpit Agarwal , Wenzhen Yuan

This paper represents a sequel to the previous one, where numerical solution of a quasistatic contact problem is considered for an elastic body in frictional contact with a moving foundation. The model takes into account wear of the contact…

Numerical Analysis · Mathematics 2019-05-15 Danfu Han , Weimin Han , Michal Jureczka , Anna Ochal

This paper presents an implementation and analysis of a five-fingered robotic grasping system that combines contact-based control with inverse kinematics solutions. Using the PyBullet simulation environment and the DexHand v2 model, we…

Robotics · Computer Science 2025-05-07 Robinson Umeike

Grasping deformable objects is not well researched due to the complexity in modelling and simulating the dynamic behavior of such objects. However, with the rapid development of physics-based simulators that support soft bodies, the…

Robotics · Computer Science 2021-07-20 Tran Nguyen Le , Jens Lundell , Fares J. Abu-Dakka , Ville Kyrki
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