Pontryagin's minimum principle

Optimal Redundancy Control of Robot Manipulators

Yoshihiko Nakamura, Hideo Hanafusa

Citations: 260 • 1987

Theory of Chattering Control: with applications to Astronautics, Robotics, Economics, and Engineering

V. F. Borisov, M. I. Zelikin

Citations: 166 • 1994

Minimum time motion of a mobile robot with two independent, acceleration-driven wheels

M. Renaud, J.-Y. Fourquet

Citations: 54 • 2002

Geometric Approach to Pontryagin’s Maximum Principle

María Barbero-Liñán, Miguel C. Muñoz‐Lecanda

Citations: 45 • 2008

Minimum wheel-rotation paths for differential-drive mobile robots

Hamidreza Chitsaz, Steven M. LaValle, Devin Balkcom, Matthew T. Mason

Citations: 39 • 2006

Optimal Motion Synthesis – Dynamic Modelling and Numerical Solving Aspects

Guy Bessonnet, P. Sardain, Stéphane Chessé

Citations: 25 • 2002

Optimal control of systems with unilateral constraints

Miloš Žefran, Vijay Kumar

Citations: 24 • 2002

Extremal trajectories for bounded velocity mobile robots

Devin Balkcom, Matthew T. Mason

Citations: 22 • 2003

Optimal Injection Attack Strategy for Cyber-Physical Systems Under Resource Constraint: A Game Approach

Sheng Gao, Hao Zhang, Zhuping Wang, Chao Huang, Huaicheng Yan

Citations: 20 • 2022

Extremal trajectories for bounded velocity differential drive robots

Devin Balkcom, Matthew T. Mason

Citations: 17 • 2002

Time-Energy Optimal Trajectory Planning of Cable-Suspended Manipulators

Mahdi Bamdad

Citations: 15 • 2012

Shortest paths for the Dubins' vehicle in heterogeneous environments

Bruno Hérissé, Romain Pepy

Citations: 15 • 2013

Energy‐optimal transport trajectory planning and online trajectory modification for holonomic robots

Hongjun Kim, Byung Kook Kim

Citations: 14 • 2020

OPTIMAL TRAJECTORY PLANNING WITH THE DYNAMIC LOAD CARRYING CAPACITY OF A FLEXIBLE CABLE-SUSPENDED MANIPULATOR

Moharam Habibnejad Korayem, E Davarzani, Mahdi Bamdad

Citations: 12 • 2010

Analysis of Optimal Dynamic Manipulation for Robotic Manipulator Based on Pontryagin’s Minimum Principle

Mohsen Asgari, A. Nikoobin

Citations: 12 • 2020

Optimal Trajectory Planning for Brachiation Robot on Ladder With Irregular Branches

Ali Meghdari, S.M.H. Lavasani, Mir Saman Rahimi Mousavi, Mohsen Norouzi

Citations: 12 • 2011

Asymptotic stability of a mechanical robotics model with damping and delay

Baruch Cahlon, Darrell Schmidt

Citations: 11 • 2004

Algebraic solution to minimum-time velocity planning

Gabriele Lini, Aurelio Piazzi, Luca Consolini

Citations: 10 • 2013

Optimal Control Problem Solution with Phase Constraints for Group of Robots by Pontryagin Maximum Principle and Evolutionary Algorithm

Askhat Diveev, Elena Sofronova, Ivan Zelinka

Citations: 10 • 2020

Optimal trajectory planning with maximum load carrying capacity for cable suspended robots

Moharam Habibnejad Korayem, Mahdi Bamdad, Sharareh Bayat

Citations: 9 • 2009