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This research investigates the efficiency of Floyd algorithm for obstacle-free path planning for autonomous aerial vehicles (UAVs) or drones. Floyd algorithm is used to generate the shortest paths for UAVs to fly from any place to the…

Data Structures and Algorithms · Computer Science 2024-12-30 Edward Yao

In this article we present a geometric discrete-time Pontryagin maximum principle (PMP) on matrix Lie groups that incorporates frequency constraints on the controls in addition to pointwise constraints on the states and control actions…

Systems and Control · Computer Science 2019-03-28 Shruti Kotpalliwar , Pradyumna Paruchuri , Karmvir Singh Phogat , Debasish Chatterjee , Ravi Banavar

This paper presents an optimization-based receding horizon trajectory planning algorithm for dynamical systems operating in unstructured and cluttered environments. The proposed approach is a two-step procedure that uses a motion planning…

Optimization and Control · Mathematics 2019-12-12 Kristoffer Bergman , Oskar Ljungqvist , Torkel Glad , Daniel Axehill

Motion planning is still an open problem for many disciplines, e.g., robotics, autonomous driving, due to their need for high computational resources that hinder real-time, efficient decision-making. A class of methods striving to provide…

Robotics · Computer Science 2023-10-31 An T. Le , Georgia Chalvatzaki , Armin Biess , Jan Peters

This work presents a two part framework for online planning and execution of dynamic aerial motions on a quadruped robot. Motions are planned via a centroidal momentum-based nonlinear optimization that is general enough to produce rich sets…

Robotics · Computer Science 2021-10-14 Matthew Chignoli , Sangbae Kim

This paper presents a Neural Networks (NNs) based approach for designing the Fuel-Optimal Powered Descent Guidance (FOPDG) for lunar pinpoint landing. According to Pontryagin's Minimum Principle, the optimality conditions are first derived.…

Optimization and Control · Mathematics 2024-08-29 Kun Wang , Zheng Chen , Jun Li

Motion planning under differential constraints is a classic problem in robotics. To date, the state of the art is represented by sampling-based techniques, with the Rapidly-exploring Random Tree algorithm as a leading example. Yet, the…

Robotics · Computer Science 2015-03-03 Edward Schmerling , Lucas Janson , Marco Pavone

The purpose of this work is the development of space-time discretization schemes for phase-field optimal control problems. First, a time discretization of the forward problem is derived using a discontinuous Galerkin formulation. Here, a…

Optimization and Control · Mathematics 2022-03-24 Denis Khimin , Marc C. Steinbach , Thomas Wick

In this paper, we consider the problem of minimum-time optimal control for a dynamical system with initial state uncertainties and propose a sequential convex programming (SCP) solution framework. We seek to minimize the expected terminal…

Optimization and Control · Mathematics 2024-09-17 Kazuya Echigo , Abhishek Cauligi , Behçet Açıkmeşe

The autonomous formation flight of fixed-wing drones is hard when the coordination requires the actuation over their speeds since they are critically bounded and aircraft are mostly designed to fly at a nominal airspeed. This paper proposes…

Robotics · Computer Science 2025-07-23 Yang Xu , Jesús Bautista , José Hinojosa , Héctor García de Marina

Generating time-optimal, collision-free trajectories for autonomous mobile robots involves a fundamental trade-off between guaranteeing safety and managing computational complexity. State-of-the-art approaches formulate spline-based motion…

Robotics · Computer Science 2026-03-26 Dries Dirckx , Jan Swevers , Wilm Decré

This article addresses the problem of data-driven numerical optimal control for unknown nonlinear systems. In our scenario, we suppose to have the possibility of performing multiple experiments (or simulations) on the system. Experiments…

Systems and Control · Electrical Eng. & Systems 2025-06-19 Marco Borghesi , Lorenzo Sforni , Giuseppe Notarstefano

The coordination among drones and ground vehicles for last-mile delivery has gained significant interest in recent years. In this paper, we study \textit{multiple drone delivery scheduling problem(MDSP) \cite{Betti_ICDCN22} for last-mile…

Data Structures and Algorithms · Computer Science 2022-11-15 Saswata Jana , Partha Sarathi Mandal

We propose a sampling-based trajectory optimization methodology for constrained problems. We extend recent works on stochastic search to deal with box control constraints,as well as nonlinear state constraints for discrete dynamical…

Optimization and Control · Mathematics 2019-11-13 George I. Boutselis , Ziyi Wang , Evangelos A. Theodorou

A typical manipulation task consists of a manipulator equipped with a gripper to grasp and move an object with constraints on the motion of the hand-held object, which may be due to the nature of the task itself or from object-environment…

This paper introduces a local planner that synergizes the decision making and trajectory planning modules towards autonomous driving. The decision making and trajectory planning tasks are jointly formulated as a nonlinear programming…

Robotics · Computer Science 2024-12-02 Wenru Liu , Haichao Liu , Lei Zheng , Zhenmin Huang , Jun Ma

We consider the problem of controlling in minimum time a two-level quantum system which can be subject to a drift. The control is assumed to be bounded in magnitude, and to affect two or three independent generators of the dynamics. We…

Quantum Physics · Physics 2015-10-28 Raffaele Romano

In this paper we provide an optimal control based strategy to explore feasible trajectories of nonlinear systems, that is to find curves that satisfy the dynamics as well as point-wise state-input constraints. The strategy is interesting…

Optimization and Control · Mathematics 2011-12-06 Giuseppe Notarstefano , John Hauser

Combining an energy-efficient drone with a high-capacity truck for last-mile package delivery can benefit operators and customers by reducing delivery times and environmental impact. However, directly integrating drone flight dynamics into…

Optimization and Control · Mathematics 2025-07-23 Yineng Sun , Armin Fügenschuh , Vikrant Vaze

In this paper, we present a framework for solving continuous optimal control problems when the true system dynamics are approximated through an imperfect model. We derive a control strategy by applying Pontryagin's Minimum Principle to the…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Panagiotis Kounatidis , Andreas A. Malikopoulos