Dynamical system (definition)

Dynamical Movement Primitives: Learning Attractor Models for Motor Behaviors

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

Citations: 1574 • 2012

Coordination and Geometric Optimization via Distributed Dynamical Systems

Jorge Cortés, Francesco Bullo

Citations: 450 • 2005

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

Jorge Cortés

Citations: 401 • 2009

A dynamical system approach to realtime obstacle avoidance

Seyed Mohammad Khansari-Zadeh, Aude Billard

Citations: 259 • 2012

Asymptotically optimal sampling-based kinodynamic planning

Yanbo Li, Zakary Littlefield, Kostas E. Bekris

Citations: 254 • 2016

A dynamical simulation facility for hybrid systems

Allen Back, John Guckenheimer, Mark Myers

Citations: 183 • 1993

Composition of local potential functions for global robot control and navigation

David C. Conner, A.A. Rizzi, Howie Choset

Citations: 148 • 2004

Dynamics of Constrained Multibody Systems

James W. Kamman, Ronald L. Huston

Citations: 132 • 1984

Logics of Dynamical Systems

André Platzer

Citations: 104 • 2012

A dynamical systems approach to behavior-based formation control

Sérgio Monteiro, Estela Bicho

Citations: 98 • 2003

Learning robot motions with stable dynamical systems under diffeomorphic transformations

Klaus Neumann, Jochen J. Steil

Citations: 85 • 2015

Optimal Control of Switching Surfaces in Hybrid Dynamical Systems

Mauro Boccadoro, Y. Wardi, Magnus Egerstedt, Erik I. Verriest

Citations: 79 • 2005

Dual dynamics: Designing behavior systems for autonomous robots

Herbert Jaeger, Thomas Christaller

Citations: 78 • 1998

A hybrid systems model for simple manipulation and self-manipulation systems

Citations: 76 • 2016

BM: An iterative algorithm to learn stable non-linear dynamical systems with Gaussian mixture models

Seyed Mohammad Khansari-Zadeh, Aude Billard

Citations: 74 • 2010

Imitation learning of globally stable non-linear point-to-point robot motions using nonlinear programming

Seyed Mohammad Khansari-Zadeh, Aude Billard

Citations: 73 • 2010

Dynamical feedback control of robotic manipulators with joint flexibility

H. Sira‐Ramírez, S. Ahmad, Mohamed Zribi

Citations: 71 • 1992

The Lyapunov Neural Network: Adaptive Stability Certification for Safe Learning of Dynamical Systems

Spencer M. Richards, Felix Berkenkamp, Andreas Krause

Citations: 69 • 2018

A Hybrid Systems Model for Simple Manipulation and Self-Manipulation Systems

Aaron M. Johnson, Daniel E. Koditschek

Citations: 63 • 2016

Learning Barrier Functions for Constrained Motion Planning with Dynamical Systems

Matteo Saveriano, Dongheui Lee

Citations: 62 • 2019