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We present progress on the problem of reconfiguring a 2D arrangement of building material by a cooperative group of robots. These robots must avoid collisions, deadlocks, and are subjected to the constraint of maintaining connectivity of…

To move through the world, mobile robots typically use a receding-horizon strategy, wherein they execute an old plan while computing a new plan to incorporate new sensor information. A plan should be dynamically feasible, meaning it obeys…

Optimization and Control · Mathematics 2020-03-05 Shreyas Kousik , Bohao Zhang , Pengcheng Zhao , Ram Vasudevan

We introduce and study the Joint Task Assistance Planning problem which generalizes prior work on optimizing assistance in robotic collaboration. In this setting, two robots operate over predefined roadmaps, each represented as a graph…

Robotics · Computer Science 2026-02-25 Omer Daube , Oren Salzman

In this paper, we introduce a trajectory planning problem for a marsupial robotics system consisting of a ground robot, a drone, and a taut tether of bounded length connecting the two robots. This problem can be framed within the context of…

Computational Geometry · Computer Science 2025-07-14 Aurelio Barrera-Vicent , José Miguel Díaz-Báñez , Fabio Rodríguez , Vanesa Sánchez-Canales

We consider pessimistic bilevel stochastic programs in which the follower maximizes over a fixed compact convex set a strictly convex quadratic function, whose Hessian depends on the leader's decision. The resulting random variable is…

Optimization and Control · Mathematics 2021-11-30 Johanna Burtscheidt , Matthias Claus , Sergio Conti , Martin Rumpf , Josua Sassen , Rüdiger Schultz

The effectiveness of a robot manipulation to a large extent is determined by the speed of making this or that movement needed for carrying out the task. Accordingly to this the problem of optimal robot control is often subdivided into two…

Optimization and Control · Mathematics 2018-01-24 Oleg Malafeyev

This paper proposes novel algorithm for non-convex multimodal constrained optimisation problems. It is based on sequential solving restrictions of problem to sections of feasible set by random subspaces (in general, manifolds) of low…

Optimization and Control · Mathematics 2023-03-28 Dmitry A. Pasechnyuk , Alexander Gornov

Bilevel optimization recently has attracted increased interest in machine learning due to its many applications such as hyper-parameter optimization and meta learning. Although many bilevel methods recently have been proposed, these methods…

Optimization and Control · Mathematics 2023-02-21 Feihu Huang , Junyi Li , Shangqian Gao

Redundant parallel robots are normally employed in scenarios requiring good precision, high load capability, and large workspace compared to traditional parallel mechanisms. However, the elementary robotic configuration and geometric…

Robotics · Computer Science 2025-12-17 Quan Yuan , Daqian Cao , Weibang Bai

Finding an optimal alignment connecting two end-points in a specified corridor is a complex problem that requires solving three interrelated sub-problems, namely the horizontal alignment, vertical alignment and earthwork optimization…

Optimization and Control · Mathematics 2015-07-13 Sukanto Mondal , Yves Lucet , Warren Hare

In this paper we study an infinite-horizon persistent monitoring problem in a two-dimensional mission space containing a finite number of statically placed targets, at each of which we assume a constant rate of uncertainty accumulation.…

Optimization and Control · Mathematics 2023-04-10 Jonas Hall , Logan E. Beaver , Christos G. Cassandras , Sean B. Andersson

Trajectory optimization methods have achieved an exceptional level of performance on real-world robots in recent years. These methods heavily rely on accurate analytical models of the dynamics, yet some aspects of the physical world can…

We introduce a proximal version of the stochastic dual coordinate ascent method and show how to accelerate the method using an inner-outer iteration procedure. We analyze the runtime of the framework and obtain rates that improve…

Machine Learning · Statistics 2013-10-09 Shai Shalev-Shwartz , Tong Zhang

In this paper, we develop an interior-point method for solving a class of convex optimization problems with time-varying objective and constraint functions. Using log-barrier penalty functions, we propose a continuous-time dynamical system…

Optimization and Control · Mathematics 2016-08-29 Mahyar Fazlyab , Santiago Paternain , Victor M. Preciado , Alejandro Ribeiro

Accurate state estimation is critical for legged and aerial robots operating in dynamic, uncertain environments. A key challenge lies in specifying process and measurement noise covariances, which are typically unknown or manually tuned. In…

Robotics · Computer Science 2026-04-09 Denglin Cheng , Jiarong Kang , Xiaobin Xiong

This paper presents a new technique to control highly redundant mechanical systems, such as humanoid robots. We take inspiration from two approaches. Prioritized control is a widespread multi-task technique in robotics and animation: tasks…

Nonconvex and nonsmooth bi-level optimization poses critical theoretical challenges, while arising in several applications. In this work, we develop a method for nonconvex, nonsmooth bi-level optimization and introduce Binno, a first-order…

Optimization and Control · Mathematics 2026-05-05 Laura Selicato , Flavia Esposito , Andersen Ang

Model Predictive Control (MPC) is a common tool for the control of nonlinear, real-world systems, such as legged robots. However, solving MPC quickly enough to enable its use in real-time is often challenging. One common solution is given…

Systems and Control · Electrical Eng. & Systems 2024-09-20 Zachary Olkin , Aaron D. Ames

Trajectory retiming is the task of computing a feasible time parameterization to traverse a path. It is commonly used in the decoupled approach to trajectory optimization whereby a path is first found, then a retiming algorithm computes a…

Robotics · Computer Science 2023-09-20 Gerry Chen , Frank Dellaert , Seth Hutchinson

Motion planning and control are two core components of the robotic systems autonomy stack. The standard approach to combine these methodologies comprises an offline/open-loop stage, planning, that designs a feasible and safe trajectory to…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Tianqi Zheng , John W. Simpson-Porco , Enrique Mallada