Maximum principle

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

Constrained Optimal Control Theory for Differential Linear Repetitive Processes

M. Dymkov, Eric Rogers, Siarhei Dymkou, Krzysztof Gałkowski

Citations: 26 • 2008

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

Generalizing the dubins and reeds-shepp cars: Fastest paths for bounded-velocity mobile robots

Andrei A. Furtuna, Devin Balkcom, Hamidreza Chitsaz, Paritosh A. Kavathekar

Citations: 19 • 2008

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

Optimal trajectories of robot arms minimizing constrained actuators and travelling time

Guy Bessonnet, J.P. Lallemand

Citations: 14 • 2002

Formulation and Numerical Solution of Robot Manipulators in Point-to-Point Motion with Maximum Load Carrying Capacity

M. H. Korayem, A Nikoubin

Citations: 12 • 2009

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

Control Rapidity Optimization Technique of DC-Motor Driven by Quasi-Resonant Converter Using Pontryagin's Maximum Principle

Anatoliy S. Revko, Roman D. Yershov

Citations: 8 • 2018

Time-Optimal Solution for a Unicycle Path on SE(2) with a Penalty on Curvature

Udit Halder, Uroš Kalabić

Citations: 6 • 2017

Maxwell Points of Dynamical Control Systems Based on Vertical Rolling Disc—Numerical Solutions

Marek Stodola, Matej Rajchl, Martin Brablc, Stanislav Frolík, Václav Křivánek

Citations: 6 • 2021

$$\mathrm{L}^1$$ L 1 -optimality conditions for the circular restricted three-body problem

Citations: 6 • 2016

A Regularization Approach to Analyze the Time-Optimal Motion of a Mobile Robot under State Constraints using Pontryagin’s Maximum Principle

Фернандо Лобо Перейра, Roman Chertovskih, A. N. Daryina, Askhat Diveev, Dmitry Karamzin, Elena Sofronova

Citations: 6 • 2021

Discrete maximum principle in Hamel’s formalism for nonholonomic optimal control

Bin Huang, Zhonggui Yi, Donghua Shi

Citations: 4 • 2024