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An artificial microswimmer drifts in response to spatio-temporal modulations of an activating suspension medium. We consider two competing mechanisms capable of influencing its tactic response: angular fluctuations, which help it explore…

软凝聚态物质 · 物理学 2017-02-15 Alexander Geiseler , Peter Hänggi , Fabio Marchesoni

We seek the best stroke sequences of a finite-size swimming predator chasing a non-motile point or finite--size prey at low Reynolds number. We use optimal control to seek the globally-optimal solutions for the former and RL for general…

流体动力学 · 物理学 2022-07-13 Guangpu Zhu , Wen. -Zhen Fang , Lailai Zhu

We present in this paper a numerical method which computes the optimal trajectory of a underwater vehicle subject to some mission objectives. The method is applied to a submarine whose goal is to best detect one or several targets, or/and…

最优化与控制 · 数学 2017-05-04 Huilong Zhang , Benoîte de Saporta , François Dufour , Dann Laneuville , Adrien Nègre

Living microorganisms are capable of a tactic response to external stimuli by swimming towards or away from the stimulus source; they do so by adapting their tactic signal transduction pathways to the environment. Their self-motility thus…

软凝聚态物质 · 物理学 2016-10-12 Alexander Geiseler , Peter Hänggi , Fabio Marchesoni , Colm Mulhern , Sergey Savel'ev

The paper is devoted to a free-time optimal control problem for sweeping processes. We develop a constructive finite-difference approximation procedure that allows us to establish necessary optimality conditions for discrete optimal…

Path planning and collision avoidance are challenging in complex and highly variable environments due to the limited horizon of events. In literature, there are multiple model- and learning-based approaches that require significant…

机器人学 · 计算机科学 2022-06-22 Carlo Tiseo , Vladimir Ivan , Wolfgang Merkt , Ioannis Havoutis , Michael Mistry , Sethu Vijayakumar

Intelligent behavior in life-like systems often arises from the ability to gather, process, and act on information. While active matter provides a framework for studying life-like dynamics, it typically omits internal information-processing…

统计力学 · 物理学 2026-03-02 Kristian Stølevik Olsen , Mitsusuke Tarama , Hartmut Löwen

A stochastic differential game theoretic model has been proposed to determine optimal behavior of a fish while migrating against water currents both in rivers and oceans. Then, a dynamic objective function is maximized subject to two…

最优化与控制 · 数学 2021-06-29 Paramahansa Pramanik

Feedback particle filter (FPF) is an algorithm to numerically approximate the solution of the nonlinear filtering problem in continuous time. The algorithm implements a feedback control law for a system of particles such that the empirical…

概率论 · 数学 2015-10-08 Amirhossein Taghvaei , Prashant G. Mehta

We address the challenge of computing search paths in real-time for subsea applications where the goal is to locate an unknown number of targets on the seafloor. Our approach maximizes a formal definition of search effectiveness given…

机器人学 · 计算机科学 2017-07-25 James McMahon , Harun Yetkin , Artur Wolek , Zachary Waters , Dan Stilwell

Optimizing paths on networks is crucial for many applications, from subway traffic to Internet communication. As global path optimization that takes account of all path-choices simultaneously is computationally hard, most existing routing…

物理与社会 · 物理学 2013-09-05 Chi Ho Yeung , David Saad , K. Y. Michael Wong

Exploiting a fluid dynamic formulation for which a probabilistic counterpart might not be available, we extend the theory of Schroedinger bridges to the case of inertial particles with losses and general, possibly singular diffusion…

数学物理 · 物理学 2014-10-08 Yongxin Chen , Tryphon T. Georgiou , Michele Pavon

We study discrete-time finite-horizon optimal control problems in probability spaces, whereby the state of the system is a probability measure. We show that, in many instances, the solution of dynamic programming in probability spaces…

最优化与控制 · 数学 2024-04-09 Antonio Terpin , Nicolas Lanzetti , Florian Dörfler

Microswimmers typically operate in complex environments. In biological systems, often diverse species are simultaneously present and interact with each other. Here, we derive a (time-dependent) particle-scale statistical description, namely…

软凝聚态物质 · 物理学 2019-08-13 Christian Hoell , Hartmut Löwen , Andreas M. Menzel

Developing behavioral policies designed to efficiently solve target-search problems is a crucial issue both in nature and in the nanotechnology of the 21st century. Here, we characterize the target-search strategies of simple microswimmers…

软凝聚态物质 · 物理学 2023-07-25 Harpreet Kaur , Thomas Franosch , Michele Caraglio

Active diffusiophoresis - swimming through interaction with a self-generated, neutral, solute gradient - is a paradigm for autonomous motion at the micrometer scale. We study this propulsion mechanism within a linear response theory.…

统计力学 · 物理学 2015-05-30 Benedikt Sabass , Udo Seifert

We analyze the statistics of the shortest and fastest paths on the road network between randomly sampled end points. To a good approximation, these optimal paths are found to be directed in that their lengths (at large scales) are linearly…

统计力学 · 物理学 2017-11-08 A. P. Solon , G. Bunin , S. Chu , M. Kardar

We consider a model of an intelligent surfer moving on the Ulam network generated by a chaotic dynamics in the Chirikov standard map. This directed network is obtained by the Ulam method with a division of the phase space in cells of fixed…

物理与社会 · 物理学 2023-07-06 Klaus M. Frahm , Dima L. Shepelyansky

The optimal disturbance rejection control problem is considered for consensus tracking systems affected by external persistent disturbances and noise. Optimal estimated values of system states are obtained by recursive filtering for the…

机器人学 · 计算机科学 2012-05-09 Jian Yuan Wen-Xia Zhang , Zhou-Hai Zhou

Trained humans exhibit highly agile spatial skills, enabling them to operate vehicles with complex dynamics in demanding tasks and conditions. Prior work shows that humans achieve this performance by using strategies such as satisficing,…

系统与控制 · 电气工程与系统科学 2020-04-28 Andrew Feit , Bérénice Mettler