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This paper introduces a continuous-time constrained nonlinear control scheme which implements a model predictive control strategy as a continuous-time dynamic system. The approach is based on the idea that the solution of the optimal…

Systems and Control · Computer Science 2017-09-20 Marco M. Nicotra , Dominic Liao-McPherson , Ilya V. Kolmanovsky

We present a formulation of feedback in quantum systems in which the best estimates of the dynamical variables are obtained continuously from the measurement record, and fed back to control the system. We apply this method to the problem of…

Quantum Physics · Physics 2009-10-31 A. C. Doherty , K. Jacobs

This paper investigates two distinct approaches to the dynamic modeling of aerial continuum manipulators (ACMs): the decoupled and the coupled formulations. Both open-loop and closed-loop behaviors of a representative ACM are analyzed. The…

Robotics · Computer Science 2026-02-24 Niloufar Amiri , Shayan Sepahvand , Iraj Mantegh , Farrokh Janabi-Sharifi

In particle systems, flocking refers to the phenomenon where particles' individual velocities eventually align. The Cucker-Smale model is a well-known mathematical framework that describes this behavior. Many continuous descriptions of the…

Analysis of PDEs · Mathematics 2024-07-29 Sebastian Zimper , Federico Cornalba , Nataša Djurdjevac Conrad , Ana Djurdjevac

Boundary feedback control design is studied for 1D hyperbolic systems with an in-domain disturbance and a boundary feedback controller under the effect of actuator saturation. Nonlinear semigroup theory is used to prove well-posedness of…

Optimization and Control · Mathematics 2022-05-18 Suha Shreim , Francesco Ferrante , Christophe Prieur

This paper presents a decentralized safety filter for collision avoidance in multi-agent aerospace interception scenarios. The approach leverages robust control barrier functions (RCBFs) to guarantee forward invariance of safety sets under…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Johannes Autenrieb , Mark Spiller

We introduce a model for self-organized dynamics which, we argue, addresses several drawbacks of the celebrated Cucker-Smale (C-S) model. The proposed model does not only take into account the distance between agents, but instead, the…

Analysis of PDEs · Mathematics 2015-05-27 Sebastien Motsch , Eitan Tadmor

This paper presents an indirect data-driven output feedback controller synthesis for nonlinear systems, leveraging Structured State-space Models (SSMs) as surrogate models. SSMs have emerged as a compelling alternative in modelling…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Muhammad Zakwan , Vaibhav Gupta , Alireza Karimi , Efe C. Balta , Giancarlo Ferrari-Trecate

We investigate a driven, one-dimensional system of colloidal particles in a periodically currogated narrow channel subject to a time-delayed feedback control. Our goal is to identify conditions under which the control induces oscillatory,…

Soft Condensed Matter · Physics 2015-06-11 Ken Lichtner , Andrey Pototsky , Sabine H. L. Klapp

Formation control deals with the design of decentralized control laws that stabilize agents at prescribed distances from each other. We call any configuration that satisfies the inter-agent distance conditions a target configuration. It is…

Systems and Control · Computer Science 2015-03-30 Xudong Chen , M. -A. Belabbas , Tamer Basar

Feedback control schemes are a promising way to manipulate transport properties of driven colloidal suspensions. In the present article we suggest a feedback scheme to enhance the collective transport of colloidal particles with repulsive…

Soft Condensed Matter · Physics 2015-08-26 Robert Gernert , Sabine H. L. Klapp

This paper is concerned with the design of a linear control law for linear systems with stationary additive disturbances. The objective is to find a state feedback gain that minimizes a quadratic stage cost function, while observing chance…

Optimization and Control · Mathematics 2025-10-03 Georg Schildbach , Paul Goulart , Manfred Morari

This paper addresses the problem of navigation control of a general class of uncertain nonlinear multi-agent systems in a bounded workspace of $\mathbb{R}^n$ with static obstacles. In particular, we propose a decentralized control protocol…

Systems and Control · Computer Science 2019-09-05 Alexandros Filotheou , Alexandros Nikou , Dimos V. Dimarogonas

We study convergence and stability properties of control-affine systems. Our considerations are motivated by the problem of stabilizing a control-affine system by means of output feedback for states in which the output function attains an…

Dynamical Systems · Mathematics 2018-06-12 Raik Suttner

It has been known in the robotics literature since about 1995 that, in polar coordinates, the nonholonomic unicycle is asymptotically stabilizable by smooth feedback, even globally. We introduce a modular design framework that selects the…

Systems and Control · Electrical Eng. & Systems 2026-01-09 Velimir Todorovski , Kwang Hak Kim , Alessandro Astolfi , Miroslav Krstic

This paper presents decentralized algorithms for formation control of multiple robots in three dimensions. Specifically, we leverage the mathematical properties of cyclic pursuit along with results from contraction and partial contraction…

Systems and Control · Computer Science 2016-11-17 Sumeet Singh , Edward Schmerling , Marco Pavone

We investigate a two-dimensional system of with two values of the internal (spin) degree of freedom. It is confined by a deformed harmonic trap and subject to a Zeeman field, Rashba or Dresselhaus one-body spin-orbit couplings and two-body…

Quantum Gases · Physics 2015-03-19 O. V. Marchukov , D. V. Fedorov , A. S. Jensen , A. G. Volosniev , N. T. Zinner

In this paper we present a direct adaptive control method for a class of uncertain nonlinear systems with a time-varying structure. We view the nonlinear systems as composed of a finite number of ``pieces,'' which are interpolated by…

Optimization and Control · Mathematics 2007-05-23 R. Ordonez , K. M. Passino

This paper studies the cooperative tracking control problem for multiple mobile robots over a directed communication network. First, it is shown that the closed-loop system is uniformly globally asymptotically stable under the proposed…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Liang Xu , Youfeng Su , He Cai

Feedback systems are essential for stable operation of a linear collider, providing a cost-effective method for relaxing tight tolerances. In the Stanford Linear Collider (SLC), feedback controls beam parameters such as trajectory, energy,…

Accelerator Physics · Physics 2016-11-17 L. Hendrickson , P. Grossberg , T. Himel , M. Minty , N. Phinney , P. Raimondi , T. Raubenheimer , H. Shoaee , P. Tenenbaum