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相关论文: Surveillance of a Faster Fixed-Course Target

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In this paper, we investigate a pursuit-evasion game in which a mobile observer tries to track a target in an environment containing obstacles. We formulate the game as an optimal control problem with state inequality constraint in a simple…

最优化与控制 · 数学 2016-11-16 Rui Zou , Hamid Emadi , Sourabh Bhattacharya

This paper is concerned with finding an optimal path for an observer, or sensor, moving at a constant speed, which is to estimate the position of a stationary target, using only bearing angle measurements. The generated path is optimal in…

最优化与控制 · 数学 2022-01-19 C. Yalçın Kaya

This paper introduces a nonlinear optimal guidance framework for guiding a pursuer to intercept a moving target, with an emphasis on real-time generation of optimal feedback control for a nonlinear optimal control problem. Initially,…

最优化与控制 · 数学 2025-04-11 Han Wang , Zheng Chen

The optimal cooperative guidance in the nonlinear setting for intercepting a target by multiple pursuers is studied in the paper. As certain relative angles can improve observability, the guidance command is required to cooperatively…

最优化与控制 · 数学 2024-01-17 Han Wang , Zheng Chen

We consider a pursuit-evasion scenario involving a group of pursuers and a single evader in a two-dimensional unbounded environment. The pursuers aim to capture the evader in finite time while ensuring the evader remains enclosed within the…

系统与控制 · 电气工程与系统科学 2026-05-25 Dinesh Patra , Prajakta Surve , Ashish R. Hota , Shaunak D. Bopardikar

Given a sequential learning algorithm and a target model, sequential machine teaching aims to find the shortest training sequence to drive the learning algorithm to the target model. We present the first principled way to find such shortest…

机器学习 · 计算机科学 2018-10-17 Laurent Lessard , Xuezhou Zhang , Xiaojin Zhu

This paper examines the degree to which an evader seeking a safe and efficient path to a target location can benefit from increasing levels of knowledge regarding one or more range-limited pursuers seeking to intercept it. Unlike previous…

最优化与控制 · 数学 2025-12-23 Thomas Chapman , Alexander Von Moll , Isaac E. Weintraub

The minimum-time path for intercepting a moving target with a prescribed impact angle is studied in the paper. The candidate paths from Pontryagin's maximum principle are analyzed, so that each candidate is related to a zero of a…

最优化与控制 · 数学 2021-01-11 Yuan Zheng , Zheng Chen

Pursuing a drifting target in a turbulent flow is an extremely difficult task whenever the searcher has limited propulsion and maneuvering capabilities. Even in the case when the relative distance between pursuer and target stays below the…

流体动力学 · 物理学 2023-10-02 Chiara Calascibetta , Luca Biferale , Francesco Borra , Antonio Celani , Massimo Cencini

We study a continuous time stochastic optimal control problem under partial observations that are available only at discrete time instants. This hybrid setting, with continuous dynamics and intermittent noisy measurements, arises in…

最优化与控制 · 数学 2026-01-01 Christian Bayer , Saifeddine Ben naamia , Erik von Schwerin , Raul Tempone

The controller of an input-affine system is determined through minimizing a time-varying objective function, where stabilization is ensured via a Lyapunov function decay condition as constraint. This constraint is incorporated into the…

系统与控制 · 电气工程与系统科学 2021-10-12 Patrick Schmidt , Thomas Göhrt , Stefan Streif

We introduce a problem in which a service vehicle seeks to guard a deadline (boundary) from dynamically arriving mobile targets. The environment is a rectangle and the deadline is one of its edges. Targets arrive continuously over time on…

机器人学 · 计算机科学 2016-11-17 Stephen L. Smith , Shaunak D. Bopardikar , Francesco Bullo

Consider a general nonlinear optimal control problem in finite dimension, with constant state and/or control delays. By the Pontryagin Maximum Principle, any optimal trajectory is the projection of a Pontryagin extremal. We establish that,…

最优化与控制 · 数学 2018-11-13 Bruno Hérissé , Riccardo Bonalli , Emmanuel Trélat

A defender dispatches patrollers to circumambulate a perimeter to guard against potential attacks. The defender decides on the time points to dispatch patrollers and each patroller's direction and speed, as long as the long-run rate…

最优化与控制 · 数学 2020-11-10 Kyle Y Lin

This paper addresses a UAV path planning task that seeks to observe a set of objects while satisfying the observation quality constraint. A dynamic programming algorithm is proposed that enables the UAV to observe the target objects with…

机器人学 · 计算机科学 2024-11-12 Jiawei Wang , Weiwei Wu , Yijing Wang , Yan Lyu , Vincent Chau

What is the fastest way of finding a randomly hidden target? This question of general relevance is of vital importance for foraging animals. Experimental observations reveal that the search behaviour of foragers is generally intermittent:…

统计力学 · 物理学 2009-11-11 O. Benichou , M. Coppey , M. Moreau , P-H. Suet , R. Voituriez

In this paper, an optimal control problem is considered where a target vehicle aims to reach a desired location in minimum time while avoiding a dynamic engagement zone. Using simple motion, four potential approaches are considered. First,…

Limited bandwidth and limited saturation in actuators are practical concerns in control systems. Mathematically, these limitations manifest as constraints being imposed on the control actions, their rates of change, and more generally, the…

最优化与控制 · 数学 2023-05-25 Siddhartha Ganguly , Souvik Das , Debasish Chatterjee , Ravi Banavar

An optimal guidance law for impact time control with field-of-view constraint is presented. The guidance law is derived by first converting the inequality-constrained nonlinear optimal control problem into an equality-constrained one…

最优化与控制 · 数学 2025-03-20 Fangmin Lu , Zheng Chen , Kun Wang

This paper is concerned with devising the nonlinear optimal guidance for intercepting a stationary target with a fixed impact time. According to Pontryagin's Maximum Principle (PMP), some optimality conditions for the solutions of the…

最优化与控制 · 数学 2024-01-04 Kun Wang , Zheng Chen , Han Wang , Jun Li
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