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Hybrid dynamical systems, i.e. systems that have both continuous and discrete states, are ubiquitous in engineering, but are difficult to work with due to their discontinuous transitions. For example, a robot leg is able to exert very…

Robotics · Computer Science 2024-09-04 Nathan J. Kong , J. Joe Payne , James Zhu , Aaron M. Johnson

This paper concerns models and convergence principles for dealing with stochasticity in a wide range of algorithms arising in nonlinear analysis and optimization in Hilbert spaces. It proposes a flexible geometric framework within which…

Optimization and Control · Mathematics 2026-02-17 Patrick L. Combettes , Javier I. Madariaga

In teleoperation of contact-rich manipulation tasks, selecting robot impedance is critical but difficult. The robot must be compliant to avoid damaging the environment, but stiff to remain responsive and to apply force when needed. In this…

Being an example for a relaxation oscillator, the FitzHugh-Nagumo model has been widely employed for describing the generation of action potentials. In this paper, we begin with a biological interpretation of what the subsequent…

Numerical Analysis · Mathematics 2025-01-31 Burcu Gürbüz , Aytül Gökçe , Mahmut Modanlı

Active control of the shape of soft robots is challenging. Despite having an infinite number of passive degrees of freedom (DOFs), soft robots typically only have a few actively controllable DOFs, limited by the number of degrees of…

Robotics · Computer Science 2023-07-10 Brian H. Do , Shuai Wu , Ruike Renee Zhao , Allison M. Okamura

Hyper-redundant tendon-driven manipulators offer greater flexibility and compliance over traditional manipulators. A common way of controlling such manipulators relies on adjusting tendon lengths, which is an accessible control parameter.…

Robotics · Computer Science 2025-09-17 Weiting Feng , Kyle L. Walker , Yunjie Yang , Francesco Giorgio-Serchi

This paper presents a unified framework to analyze the manipulability and compliance of modular soft-rigid hybrid robotic fingers. The approach applies to both hydraulic and pneumatic actuation systems. A Jacobian-based formulation maps…

Robotics · Computer Science 2025-07-02 Jianshu Zhou , Boyuan Liang , Junda Huang , Masayoshi Tomizuka

This work presents the design and the corresponding stability analysis of a model based, joint position tracking error constrained, adaptive output feedback controller for robot manipulators. Specifically, provided that the initial joint…

Systems and Control · Electrical Eng. & Systems 2021-07-08 Samet Gul , Erkan Zergeroglu , Enver Tatlicioglu

Passivity indices have been widely adopted to derive distributed stability certificates for power systems. Nevertheless, conventional passivity indices remain scalar-valued even for multi-input-multi-output (MIMO) systems, which can…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Xi Ru , Cong Fu , Zhongze Li , Xiaoyu Peng , Feng Liu

This paper deals with the numerical integration of Hamiltonian systems in which a stiff anharmonic potential causes highly oscillatory solution behavior with solution-dependent frequencies. The impulse method, which uses micro- and…

Numerical Analysis · Mathematics 2014-07-23 Christian Lubich , Daniel Weiss

The dynamic characteristics of near-field levitation bearings have been investigated in this study. Through theoretical analysis, two different types of system stiffness are defined and derived analytically. The dynamic stiffness relates…

Applied Physics · Physics 2021-10-05 Yaoke Wang , Ping Guo

The paper discusses the kinematics of manipulators builts of planar closed kinematic chains. A special kinematic scheme is extracted from the array of these mechanisms that looks the most promising for the creation of different types of…

Robotics · Computer Science 2007-07-13 Leonid Slutski , Damien Chablat , Jorge Angeles

We present several topics involving the computation of dynamical systems. The emphasis is on work in progress and the presentation is informal -- there are many technical details which are not fully discussed. The topics are chosen to…

chao-dyn · Physics 2008-02-03 John Guckenheimer , Patrick Worfolk

Compared to conventional robots, flexible manipulators offer many advantages, such as faster end-effector velocities and less energy consumption. However, their flexible structure can lead to undesired oscillations. Therefore, the applied…

Robotics · Computer Science 2022-10-05 Svenja Drücker , Robert Seifried

Modern technologies are producing datasets with complex intrinsic structures, and they can be naturally represented as matrices instead of vectors. To preserve the latent data structures during processing, modern regression approaches…

Machine Learning · Computer Science 2016-11-16 Hang Zhang , Fengyuan Zhu , Shixin Li

We develop an automated computational modeling framework for rapid gradient-based design of multistable soft mechanical structures composed of non-identical bistable unit cells with appropriate geometric parameterization. This framework…

Numerical Analysis · Mathematics 2023-09-12 Mehran Mirramezani , Deniz Oktay , Ryan P. Adams

Achieving both efficient pushability (propulsion transmission) and proximally concentrated bending for steerability is challenging for magnetically actuated soft catheters: higher axial/bending stiffness improves force transmission but…

Robotics · Computer Science 2026-05-26 Jiewen Tan , Junnan Xue , Shing Shin Cheng , Shuang Song , Erli Lyu , Jiaole Wang

Impulsive systems are a very flexible class of systems that can be used to represent switched and sampled-data systems. We propose to extend here the previously obtained results on deterministic impulsive systems to the stochastic setting.…

Optimization and Control · Mathematics 2016-08-02 Corentin Briat

Woven shell structures are beneficial for applications requiring lightweight, damage resilience, and design tunability, such as in wearable devices, soft robotics, and aerospace systems. A fundamental component of woven structures is the…

Applied Physics · Physics 2025-12-02 Jaimie Krankel , Guowei Wayne Tu , Evgueni T. Filipov

This note presents a summary and review of various conditions and characterizations for matrix stability (in particular diagonal matrix stability) and matrix stabilizability.

Systems and Control · Electrical Eng. & Systems 2023-01-04 Zhiyong Sun