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This paper proposes a novel maneuvering technique for the complex-Laplacian-based formation control. We show how to modify the original weights that build the Laplacian such that a designed steady-state motion of the desired shape emerges…

系统与控制 · 电气工程与系统科学 2021-06-04 Hector Garcia de Marina

This communication presents a longitudinal model-free control approach for computing the wheel torque command to be applied on a vehicle. This setting enables us to overcome the problem of unknown vehicle parameters for generating a…

系统与控制 · 计算机科学 2017-04-06 Philip Polack , Brigitte d'Andréa-Novel , Michel Fliess , Arnaud de la Fortelle , Lghani Menhour

We consider the class of control systems where the differential equation, state and control system are described by polynomials. Given a set of trajectories and a class of Lagrangians, we are interested to find a Lagrangian in this class…

最优化与控制 · 数学 2017-03-22 Jérémy Rouot , Jean-Bernard Lasserre

We present a technique to control chaos in Hamiltonian systems which are close to integrable. By adding a small and simple control term to the perturbation, the system becomes more regular than the original one. We apply this technique to a…

混沌动力学 · 物理学 2007-05-23 G. Ciraolo , C. Chandre , R. Lima , M. Vittot , M. Pettini

We develop a stabilization strategy of turning processes by means of delayed spindle control. We show that turning processes which contain intrinsic state-dependent delays can be stabilized by a spindle control with state-dependent delay,…

动力系统 · 数学 2018-06-14 Qingwen Hu , Huan Zhang

This paper deals with mathematical models of continuous crystallization described by hyperbolic systems of partial differential equations coupled with ordinary and integro-differential equations. The considered systems admit nonzero…

最优化与控制 · 数学 2022-01-19 Alexander Zuyev , Peter Benner

The paper presents a new control algorithm for unstable linear systems with input delay. In comparison with known analogues, the control law has been designed, which is a modification of the Smith predictor, and is the simplest one to…

最优化与控制 · 数学 2025-07-31 Anton Pyrkin , Konstantin Kalinin

Discrete control systems, as considered here, refer to the control theory of discrete-time Lagrangian or Hamiltonian systems. These discrete-time models are based on a discrete variational principle, and are part of the broader field of…

最优化与控制 · 数学 2007-05-29 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

In this survey, we present a geometric description of Lagrangian and Hamiltonian Mechanics on Lie algebroids. The flexibility of the Lie algebroid formalism allows us to analyze systems subject to nonholonomic constraints, mechanical…

数学物理 · 物理学 2007-05-23 Jorge Cortes , Manuel de Leon , Juan C. Marrero , D. Martin de Diego , Eduardo Martinez

In this paper we propose a process of lagrangian reduction and reconstruction for nonholonomic discrete mechanical systems where the action of a continuous symmetry group makes the configuration space a principal bundle. The result of the…

微分几何 · 数学 2024-07-19 Javier Fernandez , Cora Tori , Marcela Zuccalli

In this paper we propose a model predictive control scheme for constrained fractional-order discrete-time systems. We prove that all constraints are satisfied at all time instants and we prescribe conditions for the origin to be an…

最优化与控制 · 数学 2016-06-16 Pantelis Sopasakis , Haralambos Sarimveis

This paper presents an alternate form for the dynamic modelling of a mechanical system that simulates in real life a gantry crane type, using Euler's classical mechanics and Lagrange formalism, which allows find the equations of motion that…

混沌动力学 · 物理学 2017-06-07 P. A. Ospina-Henao , Framsol Lopez-Suspes

Most rigid formation controllers reported in the literature aim to only stabilize a rigid formation shape, while the formation orientation is not controlled. This paper studies the problem of controlling rigid formations with prescribed…

系统与控制 · 计算机科学 2016-06-13 Zhiyong Sun , Myoung-Chul Park , Brian D. O. Anderson , Hyo-Sung Ahn

We explore set-stabilizability by constrained controls, and both controllability and stabilizability can be regarded as the special case of set-stabilizability. We not only clarify how to define an equilibrium point of Schr$\ddot{o}$dinger…

量子物理 · 物理学 2014-01-21 Ming Zhang , Zairong Xi , Tzyh-Jong Tarn

This paper presents a new control, namely additive-state-decomposition dynamic inversion stabilized control, that is used to stabilize a class of multi-input multi-output (MIMO) systems subject to nonparametric time-varying uncertainties…

系统与控制 · 计算机科学 2020-03-10 Quan Quan , Guangxun Du , Kai-Yuan Cai

With the advent of quantum technologies, control issues are becoming increasingly important. In this article, we address the control in phase space under a global constraint provided by a minimal energy-like cost function and a local (in…

量子物理 · 物理学 2022-11-21 Qi Zhang , Xi Chen , David Guéry-Odelin

This paper presents a combined sliding-mode control and subspace stabilization methodology for orbital stabilization of periodic trajectories in underactuated mechanical systems with one degree of underactuation. The approach starts with…

机器人学 · 计算机科学 2025-12-05 Maksim Surov , Leonid Freidovich

This paper is concerned with a constrained stochastic linear-quadratic optimal control problem, in which the terminal state is fixed and the initial state is constrained to lie in a stochastic linear manifold. The controllability of…

最优化与控制 · 数学 2019-06-11 Xiuchun Bi , Jingrui Sun , Jie Xiong

Learning accurate dynamics models is necessary for optimal, compliant control of robotic systems. Current approaches to white-box modeling using analytic parameterizations, or black-box modeling using neural networks, can suffer from high…

机器人学 · 计算机科学 2019-03-05 Jayesh K. Gupta , Kunal Menda , Zachary Manchester , Mykel J. Kochenderfer

Lagrangian particle formulations of the large deformation diffeomorphic metric mapping algorithm (LDDMM) only allow for the study of a single shape. In this paper, we introduce and discuss both a theoretical and practical setting for the…

最优化与控制 · 数学 2015-03-04 Sylvain Arguillère , Emmanuel Trélat , Alain Trouvé , Laurent Younes