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It is shown that an internal control based on a moving indicator function is able to stabilize the state of parabolic equations evolving in rectangular domains. For proving the stabilizability result, we start with a control obtained from…

Optimization and Control · Mathematics 2020-11-30 Behzad Azmi , Karl Kunisch , Sérgio S. Rodrigues

The fractality of human gait, namely, the long-range correlation that characterizes scale-free fluctuations of gait descriptors, such as the stride intervals during steady-state walking, depends on the well-tuned organization of the…

Adaptation and Self-Organizing Systems · Physics 2021-09-07 Chunjiang Fu , Yasuyuki Suzuki , Pietro Morasso , Taishin Nomura

Previous research on unstable footwear has suggested that it may induce plantar mechanical noise during walking. The purpose of this study was to explore whether unstable footwear could be considered as a noise-based training gear to…

Medical Physics · Physics 2017-02-17 F. Dierick , A. -F. Bouche , M. Scohier , C. Guille , F. Buisseret

Synthesizing a stable gait that enables a quadruped robot to climb stairs is the focus of this paper. To this end, first a stable transition from initial to desired configuration is made based on the minimum number of steps and maximum use…

Robotics · Computer Science 2018-09-11 Ali Zamani , Mahdi Khorram , S. Ali A. Moosavian

Non-linear dynamical systems represent a compact, flexible, and robust tool for reactive motion generation. The effectiveness of dynamical systems relies on their ability to accurately represent stable motions. Several approaches have been…

Robotics · Computer Science 2020-06-01 Matteo Saveriano

The problem of biped locomotion at steady speeds is discussed through a Lagrangian formulation developed for velocity-dependent, body driving forces. Human walking on a level surface is analyzed in terms of the data on the resultant…

Biological Physics · Physics 2013-05-29 Valery B. Kokshenev

When do locomotion controllers require reasoning about nonlinearities? In this work, we show that a whole-body model-predictive controller using a simple linear time-invariant approximation of the whole-body dynamics is able to execute…

Rapid transduction of sensory stimulation to action is essential for an animal to survive. To this end, most animals use the sub-second excitable and multistable dynamics of a neuromuscular system. Here, studying an animal without neurons…

Biological Physics · Physics 2021-07-08 Matthew S. Bull , Laurel A. Kroo , Manu Prakash

Locomotion in the real world involves unexpected perturbations, and therefore requires strategies to maintain stability to successfully execute desired behaviours. Ensuring the safety of locomoting systems therefore necessitates a…

Systems and Control · Computer Science 2016-04-05 Victor Shia , Talia Moore , Ruzena Bajcsy , Ram Vasudevan

Balance control is important for human and bipedal robotic systems. While dynamic balance during locomotion has received considerable attention, quantitative understanding of static balance and falling remains limited. This work presents a…

Robotics · Computer Science 2025-09-09 Chengtian Ma , Yunyue Wei , Chenhui Zuo , Chen Zhang , Yanan Sui

Envisioned applications for humanoid robots call for the design of balancing and walking controllers. While promising results have been recently achieved, robust and reliable controllers are still a challenge for the control community…

Optimization and Control · Mathematics 2017-07-18 Gabriele Nava , Francesco Romano , Francesco Nori , Daniele Pucci

A rigid body, with an interior cavity entirely filled with a Navier-Stokes liquid, moves in absence of external torques relative to the center of mass of the coupled system body-liquid (inertial motions). The only steady-state motions…

Analysis of PDEs · Mathematics 2017-05-12 Giovanni P. Galdi

Recurrent neural network-based reinforcement learning systems are capable of complex motor control tasks such as locomotion and manipulation, however, much of their underlying mechanisms still remain difficult to interpret. Our aim is to…

Robotics · Computer Science 2023-06-29 Eugene R. Rush , Christoffer Heckman , Kaushik Jayaram , J. Sean Humbert

Advances in legged robotics are strongly rooted in animal observations. A clear illustration of this claim is the generalization of Central Pattern Generators (CPG), first identified in the cat spinal cord, to generate cyclic motion in…

Robotics · Computer Science 2020-03-23 Gabriel Urbain , Victor Barasuol , Claudio Semini , Joni Dambre , Francis wyffels

The study of animal movement is challenging because it is a process modulated by many factors acting at different spatial and temporal scales. Several models have been proposed which differ primarily in the temporal conceptualization,…

Planning accurate manipulation for deformable objects requires prediction of their state. The prediction is often complicated by a loss of stability that may result in collapse of the deformable object. In this work, stability of a fabric…

Robotics · Computer Science 2019-03-01 Vladimír Petrík , Vladimír Smutný , Ville Kyrki

In this paper, we present a new model of biped locomotion which is composed of three linear pendulums (one per leg and one for the whole upper body) to describe stance, swing and torso dynamics. In addition to double support, this model has…

Robotics · Computer Science 2016-05-11 Salman Faraji , Auke J. Ijspeert

We consider a general class of translation-invariant systems with a specific category of output nonlinearities motivated by biological sensing. We show that no dynamic output feedback can stabilize this class of systems to an isolated…

Systems and Control · Electrical Eng. & Systems 2025-02-21 Debojyoti Biswas , Eduardo D. Sontag , Noah J. Cowan

Most aquatic vertebrates swim by lateral flapping of their bodies and caudal fins. While much effort has been devoted to understanding the flapping kinematics and its influence on the swimming efficiency, little is known about the stability…

Fluid Dynamics · Physics 2015-06-15 Fangxu Jing , Eva Kanso

Walking is a common bipedal and quadrupedal gait and is often associated with terrestrial and aquatic organisms. Inspired by recent evidence of the neural underpinnings of primitive aquatic walking in the little skate Leucoraja erinacea, we…

Quantitative Methods · Quantitative Biology 2020-09-03 F. Giardina , L. Mahadevan