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Contact-rich micromanipulation in microfluidic flow is challenging because small disturbances can break pushing contact and induce large lateral drift. We study planar cell pushing with a magnetic rolling microrobot that tracks a…

Robotics · Computer Science 2026-03-06 Yanda Yang , Sambeeta Das

Optimal transport has recently been brought forward as a tool for modeling and efficiently solving a variety of flow problems, such as origin-destination problems and multi-commodity flow problems. Although the framework has shown to be…

Optimization and Control · Mathematics 2025-07-29 Anqi Dong , Karl Henrik Johansson , Johan Karlsson

We consider the optimal control of quantum systems interacting non-linearly with an electromagnetic field. We propose new monotonically convergent algorithms to solve the optimal equations. The monotonic behavior of the algorithm is ensured…

Quantum Physics · Physics 2015-05-13 M. Lapert , R. Tehini , G. Turinici , D. Sugny

Torque-driven microscale swimming robots, or microrotors, hold significant potential in biomedical applications such as targeted drug delivery, minimally invasive surgery, and micromanipulation. This paper addresses the challenge of…

Optimization and Control · Mathematics 2024-09-10 Jake Buzhardt , Phanindra Tallapragada

When the underlying physical network layer in optimal network flow problems is a large graph, the associated optimization problem has a large set of decision variables. In this paper, we discuss how the cycle basis from graph theory can be…

Systems and Control · Computer Science 2017-06-06 Reza Asadi , Solmaz S. Kia

We consider a linear power flow model with interval-bounded nodal power injections and limited line power flows. We determine the minimal number of power injections to control based on a minimal set of measurements, such that the overall…

Systems and Control · Electrical Eng. & Systems 2020-03-24 Edwin Mora , Florian Steinke

We introduce a general-purpose method for optimising the mixing rate of advective fluid flows. An existing velocity field is perturbed in a $C^1$ neighborhood to maximize the mixing rate for flows generated by velocity fields in this…

Fluid Dynamics · Physics 2018-01-30 Gary Froyland , Naratip Santitissadeekorn

We use analytical methods to investigate cellular automata for traffic flow. Two different mean-field approaches are presented, which we call site-oriented and car-oriented, respectively. The car-oriented mean-field theory yields the exact…

Condensed Matter · Physics 2007-05-23 Andreas Schadschneider , Michael Schreckenberg

Developing a group of machine cells and their corresponding part families to minimize the inter-cell and intra-cell material flow is the basic objective of the designing of a cellular manufacturing system (CMS). Afterwards achieving a…

Computational Engineering, Finance, and Science · Computer Science 2012-12-21 T. Ghosh , P. K. Dan

Platooning has been exploited as a method for vehicles to minimize energy consumption. In this article, we present a constraint-driven optimal control framework that yields emergent platooning behavior for connected and automated vehicles…

Robotics · Computer Science 2021-12-20 Logan E. Beaver , Andreas A. Malikopoulos

Connected and automated vehicles (CAVs) technologies promise to attenuate undesired traffic disturbances. However, in mixed traffic where human-driven vehicles (HDVs) also exist, the nonlinear human-driving behavior has brought critical…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Jie Li , Jiawei Wang , Shengbo Eben Li , Keqiang Li

In this paper, we aim to develop the theory of optimal stochastic control for branching diffusion processes where both the movement and the reproduction of the particles depend on the control. More precisely, we study the problem of…

Probability · Mathematics 2016-09-19 Julien Claisse

Mixing is an omnipresent process in a wide-range of industrial applications, which supports scientific efforts to devise techniques for optimising mixing processes under time and energy constraints. In this endeavor, we present a…

Fluid Dynamics · Physics 2020-06-15 Maximilian F. Eggl , Peter J. Schmid

Efficient trajectory generation is crucial for autonomous systems; however, current numerical methods often struggle to handle periodic behaviors effectively, particularly when the onboard sensors require equidistant temporal sampling. This…

Systems and Control · Electrical Eng. & Systems 2026-01-16 Liraz Mudrik , Sean Kragelund , Isaac Kaminer

Planning problems are hard, motion planning, for example, isPSPACE-hard. Such problems are even more difficult in the presence of uncertainty. Although, Markov Decision Processes (MDPs) provide a formal framework for such problems, finding…

Artificial Intelligence · Computer Science 2013-01-14 Carlos E. Guestrin , Dirk Ormoneit

This paper is concerned with the design of optimal control for finite-dimensional control-affine nonlinear dynamical systems. We introduce an optimal control problem that specifically optimizes nonlinear observability in addition to…

Systems and Control · Computer Science 2017-08-03 Atiye Alaeddini , Kristi A. Morgansen , Mehran Mesbahi

The increasing decentralization of power systems driven by a large number of renewable energy sources poses challenges in power flow optimization. Partially unknown power line properties can render model-based approaches unsuitable. With…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Sebastian Otzen , Hannes M. H. Wolf , Christian A. Hans

The time discrete scheme of characteristics type is especially effective for convection-dominated diffusion problems. The scheme has been used in various engineering areas with different approximations in spatial direction. The lowest-order…

Numerical Analysis · Mathematics 2022-04-28 W. Sun

The basic module for the solution of the minimum time optimal control of a car-like vehicle is herein presented. The vehicle is subject to the effect of laminar (linear) and aerodynamic (quadratic) drag, taking into account the asymmetric…

Numerical Analysis · Mathematics 2016-04-12 Enrico Bertolazzi , Marco Frego

Tiny cilia drive the flow of surrounding fluids through asymmetric jumping, which is one of the main ways for biological organisms to control fluid transport at the micro-scale. Due to its huge application prospects in medical and…

Optimization and Control · Mathematics 2024-01-08 Shuangshuang Yu , Zheng Ning , Ge Chen