Dynamical systems theory

Real-Time Computing Without Stable States: A New Framework for Neural Computation Based on Perturbations

Wolfgang Maass, Thomas Natschläger, Henry Markram

Citations: 4023 • 2002

Dynamical Movement Primitives: Learning Attractor Models for Motor Behaviors

Auke Jan Ijspeert, Jun Nakanishi, H. Hoffmann, Peter Pástor, Stefan Schaal

Citations: 1574 • 2012

Knowledge in action: logical foundations for specifying and implementing dynamical systems

Citations: 1115 • 2002

Cooperative Control of Dynamical Systems: Applications to Autonomous Vehicles

Zhihua Qu, Jing Wang, R Hull

Citations: 1005 • 2009

Finite Time Controllers

V. T. Haimo

Citations: 907 • 1986

Learning Stable Nonlinear Dynamical Systems With Gaussian Mixture Models

Seyed Mohammad Khansari-Zadeh, Aude Billard

Citations: 764 • 2011

Cooperative Control of Multi-Agent Systems: Optimal and Adaptive Design Approaches

Frank L. Lewis, Hongwei Zhang, Kristian Hengster‐Movric, Abhijit Das

Citations: 602 • 2013

Lectures on Mechanics

Jerrold E. Marsden

Citations: 525 • 1992

Nonsmooth Mechanics: Models, Dynamics and Control

Bernard Brogliato

Citations: 461 • 1999

Coordination and Geometric Optimization via Distributed Dynamical Systems

Jorge Cortés, Francesco Bullo

Citations: 450 • 2005

Adaptation and learning using multiple models, switching, and tuning

Kumpati S. Narendra, Janaki Balakrishnan, M. Kemal Cılız

Citations: 442 • 1995

Maneuver-based motion planning for nonlinear systems with symmetries

E. Frazz, Munther A. Dahleh, Éric Féron

Citations: 438 • 2005

Discontinuous Dynamical Systems: A tutorial on solutions, nonsmooth analysis, and stability

Jorge Cortés

Citations: 401 • 2009

Learning from demonstration and adaptation of biped locomotion

Jun Nakanishi, Jun Morimoto, Gen Endo, Gordon Cheng, Stefan Schaal, Mitsuo Kawato

Citations: 400 • 2004

The Use of Kane's Dynamical Equations in Robotics

Thomas R. Kane, David A. Levinson

Citations: 363 • 1983

High-Order Control Barrier Functions

Wei Xiao, Călin Belta

Citations: 334 • 2021

Dynamics of behavior: Theory and applications for autonomous robot architectures

Gregor Schöner, Michael Dose, Christoph Engels

Citations: 327 • 1995

A review on locomotion robophysics: the study of movement at the intersection of robotics, soft matter and dynamical systems

Jeffrey Aguilar, Tingnan Zhang, Feifei Qian, Mark Kingsbury, Benjamin McInroe, Nicole Mazouchova, Chen Li, Ryan D. Maladen, Chaohui Gong, Matt Travers, Ross L. Hatton, Howie Choset, Paul B. Umbanhowar, Daniel I. Goldman

Citations: 284 • 2016

Biologically-inspired dynamical systems for movement generation: Automatic real-time goal adaptation and obstacle avoidance

H. Hoffmann, Peter Pástor, Dae-Hyung Park, Stefan Schaal

Citations: 282 • 2009

A dynamical system approach to realtime obstacle avoidance

Seyed Mohammad Khansari-Zadeh, Aude Billard

Citations: 259 • 2012