Periodic orbits

Control lyapunov functions and hybrid zero dynamics

Aaron D. Ames, Kevin S. Galloway, Jessy W. Grizzle

Citations: 95 • 2012

The inverted pendulum and biped stability

H. Hemami, C. Golliday

Citations: 81 • 1977

Walking gait optimization for accommodation of unknown terrain height variations

Brent Griffin, Jessy W. Grizzle

Citations: 48 • 2015

Underactuated dynamic three-dimensional bipedal walking

Guobiao Song, Miloš Žefran

Citations: 48 • 2006

SIMPLE HYBRID SYSTEMS

Stewart D. Johnson

Citations: 37 • 1994

Symmetry in legged locomotion: a new method for designing stable periodic gaits

Hamed Razavi, Anthony M. Bloch, Christine Chevallereau, Jessy W. Grizzle

Citations: 36 • 2016

Continuous-time controllers for stabilizing periodic orbits of hybrid systems: Application to an underactuated 3D bipedal robot

Kaveh Akbari Hamed, Brian G. Buss, Jessy W. Grizzle

Citations: 30 • 2014

Do limit cycles matter in the long run? Stable orbits and sliding-mass dynamics emerge in task-optimal locomotion

Christian Hubicki, Mikhail Jones, Monica A. Daley, Jonathan Hurst

Citations: 24 • 2015

Input to State Stabilizing Control Lyapunov Functions for Robust Bipedal Robotic Locomotion

Shishir Kolathaya, Jacob Reher, Ayonga Hereid, Aaron D. Ames

Citations: 23 • 2018

Stabilization of periodic orbits in a wedge billiard

Rodolphe Sepulchre, Manuel Gerard

Citations: 19 • 2004

Stabilization of hybrid periodic orbits with application to bipedal walking

Guobiao Song, Miloš Žefran

Citations: 18 • 2006

Quasihomogeneity Approach to the Pendubot Stabilization around Periodic Orbits

Yuri Orlov, Leonardo Acho, Luis T. Aguilar

Citations: 16 • 2004

Describing Robotic Bat Flight with Stable Periodic Orbits

Alireza Ramezani, Syed Usman Ahmed, Jonathan Hoff, Soon‐Jo Chung, Seth Hutchinson

Citations: 14 • 2017

Periodic Stabilization of a 1-DOF Hopping Robot on Nonlinear Compliant Surface

C. Canudas, L. Roussel, Ambarish Goswami

Citations: 13 • 1997

Synthesis of Three-Layer Dynamic Binary Neural Networks for Control of Hexapod Walking Robots

Takumi Suzuki, Toshimichi Saito

Citations: 10 • 2021

Symmetric virtual constraints for periodic walking of legged robots

Hamed Razavi, Anthony M. Bloch, Xingye Da, Auke Jan Ijspeert

Citations: 9 • 2016

Characterizing knee-bounce in bipedal robotic walking

Aaron D. Ames

Citations: 9 • 2011

Graceful Transitions between Periodic Walking Gaits of Fully Actuated Bipedal Robots

Vishal Murali, Nak-Seung P. Hyun, Erik I. Verriest

Citations: 7 • 2020

Poincaré Analysis for Hybrid Periodic Orbits of Systems with Impulse Effects under External Inputs.

Sushant Veer, Rakesh Rakesh, Ioannis Poulakakis

Citations: 6 • 2017

Dynamic binary neural networks with time-variant parameters and switching of desired periodic orbits

Shota Anzai, Takumi Suzuki, Toshimichi Saito

Citations: 6 • 2021