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This study presents autonomous guidance and control strategies for the purpose of reconfiguring close-range multi-satellite formations. The formation under consideration includes $N$ under-actuated deputy satellites and an uncontrolled…

系统与控制 · 电气工程与系统科学 2024-12-31 Ahmed Mahfouz , Gabriella Gaias , Florio Dalla Vedova , Holger Voos

We study the problem of state transition on a finite time interval with minimal energy supply for linear port-Hamiltonian systems. While the cost functional of minimal energy supply is intrinsic to the port-Hamiltonian structure, the…

We use conductance based neuron models and the mathematical modeling of Optogenetics to define controlled neuron models and we address the minimal time control of these affine systems for the first spike from equilibrium. We apply tools of…

最优化与控制 · 数学 2016-07-20 Vincent Renault , Michèle Thieullen , Emmanuel Trélat

In this paper we consider the minimum time population transfer problem for a two level quantum system driven by {\em two} external fields with bounded amplitude. The controls are modeled as real functions and we do not use the Rotating Wave…

最优化与控制 · 数学 2012-11-06 Ugo Boscain , Fredrik Grönberg , Long Ruixing , Rabitz Herschel

Finding minimal time and establishing the structure of the corresponding optimal controls which can transfer a given initial state of a quantum system into a given target state is a key problem of quantum control. In this work, this problem…

量子物理 · 物理学 2025-02-21 L. V. Lokutsievskiy , A. N. Pechen , M. I. Zelikin

Time optimal control problems for some non-smooth systems in general form are considered. The non-smoothness is caused by singularity. It is proved that Pontryagin's maximum principle holds for at least one optimal relaxed control. Thus,…

最优化与控制 · 数学 2013-09-24 Hongwei Lou , Junjie Wen , Yashan Xu

The minimum-time control problem consists in finding a control policy that will drive a given dynamic system from a given initial state to a given target state (or a set of states) as quickly as possible. This is a well-known challenging…

系统与控制 · 计算机科学 2015-03-19 Laurent Bako , Dulin Chen , Stéphane Lecoeuche

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…

系统与控制 · 电气工程与系统科学 2026-03-31 Panagiotis Kounatidis , Andreas A. Malikopoulos

In this paper we solve two equivalent time optimal control problems. On one hand, we design the control field to implement in minimum time the SWAP (or equivalent) operator on a two-level system, assuming that it interacts with an…

量子物理 · 物理学 2016-08-03 Raffaele Romano , Domenico D'Alessandro

In this paper, we consider a (rough) kinematic model for a UAV flying at constant altitude moving forward with positive lower and upper bounded linear velocities and positive minimum turning radius.For this model, we consider the problem of…

动力系统 · 数学 2017-11-27 Vincent Andrieu , Marc-Aurèle Lagache , Ulysse Serres

We study time-minimum optimal control for a class of quantum two-dimensional dissipative systems whose dynamics are governed by the Lindblad equation and where control inputs acts only in the Hamiltonian. The dynamics of the control system…

最优化与控制 · 数学 2019-04-24 William Clark , Anthony Bloch , Leonardo Colombo , Patrick Rooney

In this article we analyze the optimal control strategy for rotating a monitored qubit from an initial pure state to an orthogonal state in minimum time. This strategy is described for two different cost functions of interest which do not…

最优化与控制 · 数学 2012-11-27 Srinivas Sridharan , Masahiro Yanagisawa , Joshua Combes

This paper proposes an integrated design optimization framework for the gain schedules and bending filter for the longitudinal control of a rocket during its ascent flight. Dynamic models representing the pitch/yaw motion of a rocket…

最优化与控制 · 数学 2018-02-07 Sang-Il Leea , Jaemyung Ahn , Woong-Rae Roh

We address the issue of minimal time optimal control of fedbatch reactor in presence of complex non monotonic kinetics, that can be typically characterized by the combination of two Haldane models. The optimal synthesis may present several…

最优化与控制 · 数学 2010-10-26 Alain Rapaport , Denis Dochain

This paper presents a novel synthesis method for designing an optimal and robust guidance law for a non-throttleable upper stage of a launch vehicle, using a convex approach. In the unperturbed scenario, a combination of lossless and…

最优化与控制 · 数学 2022-12-14 Boris Benedikter , Alessandro Zavoli , Guido Colasurdo , Simone Pizzurro , Enrico Cavallini

This paper studies optimal trajectory-tracking for driftless, x-flat nonlinear systems with three states and two inputs. The tracking problem is formulated in Bolza form with a quadratic cost of the tracking error and its derivative.…

最优化与控制 · 数学 2026-04-07 Raphael Buchinger , Georg Hartl , Lukas Ecker , Markus Schöberl

This paper presents a provably optimal, real-time capable energy management policy for race cars that provides simple human-driver-implementable control cues. Specifically, we first formulate the energy-constrained minimum-lap-time control…

最优化与控制 · 数学 2026-03-04 Erik van den Eshof , Wytze de Vries , Mauro Salazar

Optimal control theory is applied to analyze the time-optimal solution with a single scalar control knob in a two-level quantum system without quantum decoherence. Emphasis is \change{placed} on the dependence on the maximum control…

量子物理 · 物理学 2025-04-03 Chungwei Lin , Qi Ding , Petros T. Boufounos , Yanting Ma , Yebin Wang , Dries Sels , Chih-Chun Chien

In this paper, we address a minimum-time steering problem for a drone modeled as point mass with bounded acceleration, across a set of desired waypoints in the presence of gravity. We first provide a method to solve for the minimum-time…

机器人学 · 计算机科学 2022-02-22 Srinath Tankasala , Can Pehlivanturk , Efstathios Bakolas , Mitch Pryor

In this paper we introduce the notion of optimization under control and communication constraint in a robotic network. Starting from a general setup, we focus our attention on the problem of achieving rendezvous in minimum time for a…

最优化与控制 · 数学 2007-05-23 Giuseppe Notarstefano , Francesco Bullo