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We consider the Chance Constrained Model Predictive Control problem for polynomial systems subject to disturbances. In this problem, we aim at finding optimal control input for given disturbed dynamical system to minimize a given cost…

最优化与控制 · 数学 2016-05-04 Ashkan Jasour , Constantino Lagoa

In the helium case of the classical Coulomb three-body problem in two dimensions with zero angular momentum, we develop a procedure to find periodic orbits applying two symbolic dynamics for one-dimensional and planar problems. A sequence…

混沌动力学 · 物理学 2008-06-17 Mitsusada M. Sano , Kiyotaka Tanikawa

Conjunction analysis and maneuver planning for spacecraft collision avoidance remains a manual and time-consuming process, typically involving repeated forward simulations of hand-designed maneuvers. With the growing density of satellites…

机器人学 · 计算机科学 2025-10-23 Fausto Vega , Jon Arrizabalaga , Ryan Watson , Zachary Manchester

We consider a spacecraft formation reconfiguration problem in the case of identical spacecraft. This introduces in the optimal reconfiguration problem a permutational degree of freedom, in addition to the choice of individual spacecraft…

最优化与控制 · 数学 2007-05-23 Taeyoung Lee , N. Harris McClamroch , Melvin Leok

This paper presents a framework for optimizing the power allocation between a battery and supercapacitor in an electric vehicle energy storage system. A convex optimal control formulation is proposed that minimizes total energy consumption…

最优化与控制 · 数学 2020-09-14 Sebastian East , Mark Cannon

Hydro unit commitment is the problem of maximizing water use efficiency while minimizing start-up costs in the daily operation of multiple hydro plants, subject to constraints on short-term reservoir operation, and long-term goals. A…

最优化与控制 · 数学 2017-11-17 M. Paredes , L. S. A. Martins

We present an algorithm for obtaining an optimal control policy for hybrid dynamical systems in cluttered environments. To the best of our knowledge, this is the first attempt to have a locally optimal solution for this specific problem…

机器人学 · 计算机科学 2017-10-17 Shushman Choudhury , Yifan Hou , Gilwoo Lee , Siddhartha S. Srinivasa

This paper presents a method for choosing a Particle Swarm Optimization based optimizer for the Dynamic Vehicle Routing Problem on the basis of the initially available data of a given problem instance. The optimization algorithm is chosen…

神经与进化计算 · 计算机科学 2020-06-17 Michał Okulewicz , Jacek Mańdziuk

We have constructed a perturbation theory to treat interactions that can include the Coulomb interaction, describing a physical problem that is often encountered in nuclear physics. The Coulomb part is not treated perturbatively; the exact…

量子物理 · 物理学 2023-05-09 Scott E. Hoffmann

Collisions are common in many dynamical systems with real applications. They can be formulated as hybrid dynamical systems with discontinuities automatically triggered when states transverse certain manifolds. We present an algorithm for…

最优化与控制 · 数学 2025-01-20 Wei Hu , Jihao Long , Yaohua Zang , Weinan E , Jiequn Han

Improving the powertrain control of heavy-duty vehicles can be an efficient way to reduce the fuel consumption and thereby reduce both the operating cost and the environmental impact. One way of doing so is by using information about the…

系统与控制 · 电气工程与系统科学 2020-02-17 Manne Held , Oscar Flärdh , Fredrik Roos , Jonas Mårtensson

A recent reformulation [1] of the problem of Coulomb gases in the presence of a dynamical dielectric medium showed that finite temperature simulations of such systems can be accomplished on the basis of completely local Hamiltonians on a…

软凝聚态物质 · 物理学 2009-11-11 A. Duncan , R. D. Sedgewick

A method is presented to solve a stochastic, nonlinear optimal control problem representative of spacecraft trajectory design under uncertainty. The problem is reformulated as a chance constrained nonlinear program, or what is known as a…

最优化与控制 · 数学 2024-01-05 William Fife , Pradipto Ghosh , Kyle DeMars

Optimal control theory is developed for the task of obtaining a primary objective in a subspace of the Hilbert space while avoiding other subspaces of the Hilbert space. The primary objective can be a state-to-state transition or a unitary…

量子物理 · 物理学 2008-06-13 Jose P. Palao , Ronnie Kosloff , Christiane P. Koch

In this paper we present a fast method based on successive convexification for generating fuel-optimized spacecraft rendezvous trajectories in the presence of mixed-integer constraints. A recently developed paradigm of state-triggered…

最优化与控制 · 数学 2019-06-13 Danylo Malyuta , Taylor P. Reynolds , Michael Szmuk , Behcet Acikmese , Mehran Mesbahi

High energy particles' behavior including fusion born alpha particles in an ITER like tokamak in the presence of background driftwave turbulence is investigated by an orbit following calculation. The background turbulence is given by the…

等离子体物理 · 物理学 2016-08-24 B. Huang , Y. Nishimura , C. Z. Cheng

Deterministically solving charged particle transport problems at a sufficient spatial and angular resolution is often prohibitively expensive, especially due to their highly forward peaked scattering. We propose a model order reduction…

数值分析 · 数学 2025-01-13 Pia Stammer , Tiberiu Burlacu , Niklas Wahl , Danny Lathouwers , Jonas Kusch

Rigid bodies, plastic impact, persistent contact, Coulomb friction, and massless limbs are ubiquitous simplifications introduced to reduce the complexity of mechanics models despite the obvious physical inaccuracies that each incurs…

机器人学 · 计算机科学 2020-07-31 Aaron M. Johnson , Samuel A. Burden , Daniel E. Koditschek

The electromagnetic (e.m.) current conservation and renormalizability of QCD are used to calculate the amplitude of energetic hadron(photon) diffraction into several jets with large relative transverse momenta off the nucleon(nucleus)…

高能物理 - 唯象学 · 物理学 2009-11-07 L. Frankfurt , M. Strikman

Multicopters are becoming increasingly important in both civil and military fields. Currently, most multicopter propulsion systems are designed by experience and trial-and-error experiments, which are costly and ineffective. This paper…

系统与控制 · 计算机科学 2019-04-09 Xunhua Dai , Quan Quan , Jinrui Ren , Kai-Yuan Cai