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Using a nonlocal second-order traffic flow model we present an approach to control the dynamics towards a steady state. The system is controlled by the leading vehicle driving at a prescribed velocity and also determines the steady state.…

Optimization and Control · Mathematics 2023-03-13 Jan Friedrich , Simone Göttlich , Michael Herty

We address the problem of controlling a noisy differential drive mobile robot such that the probability of satisfying a specification given as a Bounded Linear Temporal Logic (BLTL) formula over a set of properties at the regions in the…

Robotics · Computer Science 2015-03-20 Igor Cizelj , Calin Belta

The goal of this paper is to present a rigorous and intrinsic formulation of a Riemannian PD-regulator of the robot's tool, The first one is based upon the Lasalle's invariance principle, we use it to control the tool's position in the…

Optimization and Control · Mathematics 2021-08-05 Anis Bousclet , Mohamed Camil Belhadjoudja

Point-to-point and periodic motions are ubiquitous in the world of robotics. To master these motions, Autonomous Dynamic System (DS) based algorithms are fundamental in the domain of Learning from Demonstration (LfD). However, these…

Robotics · Computer Science 2024-07-16 Yu Zhang , Haoyu Zhang , Yongxiang Zou , Houcheng Li , Long Cheng

A Lyapunov-based method is presented for stabilizing and controlling of closed quantum systems. The proposed method is constructed upon a novel quantum Lyapunov function of the system state trajectory tracking error. A positive-definite…

Quantum Physics · Physics 2021-02-02 Elham Jamalinia , Peyman Azodi , Alireza Khayatian , Peyman Setoodeh

In this paper, we propose a novel and distributed formation control method for autonomous robots to follow the desired formation while tracking a moving target in dynamic environments. In our approach, the desired formations, which include…

Robotics · Computer Science 2017-05-08 Anh-Duc Dang , Hung M. La , Thang Nguyen , Joachim Horn

In this paper, a novel continuous non-smooth control strategy is proposed to achieve finite-time stabilization of ladder quantum systems. We first design a universal fractional-order control law for a ladder n-level quantum system using a…

Optimization and Control · Mathematics 2025-05-20 Zeping Su , Sen Kuang , Daoyi Dong

Robust stability and stochastic stability have separately seen intense study in control theory for many decades. In this work we establish relations between these properties for discrete-time systems and employ them for robust control…

Dynamical Systems · Mathematics 2020-04-20 Benjamin Gravell , Peyman Mohajerin Esfahani , Tyler Summers

In this paper, we address the stabilization problem for force-controlled nonholonomic mobile robots under safety-critical constraints. We propose a continuous, time-invariant control law based on the gamma m-quadratic programming (gamma…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Bo Wang , Tianyu Han , Guangwei Wang

This paper addresses the challenges of distributed formation control in multiple mobile robots, introducing a novel approach that enhances real-world practicability. We first introduce a distributed estimator using a variable structure and…

Robotics · Computer Science 2024-03-26 Zhe Xu , Tao Yan , Simon X. Yang , S. Andrew Gadsden , Mohammad Biglarbegian

This paper proposes a new adaptation methodology to find the control inputs for a class of nonlinear systems with time-varying bounded uncertainties. The proposed method does not require any prior knowledge of the uncertainties including…

Optimization and Control · Mathematics 2018-03-16 Yi-Wen Liao , Selina Pan , Francesco Borrelli , J. Karl Hedrick

This paper presents a combined strategy for tracking a non-holonomic mobile robot which works under certain operating conditions for system parameters and disturbances. The strategy includes kinematic steering and velocity dynamics learning…

Robotics · Computer Science 2015-12-11 Monica Dragoicea , Ioan Dumitrache , Nicolae Constantin

This note studies (practical) asymptotic stability of nonlinear networked control systems whose protocols are not necessarily uniformly globally exponentially stable. In particular, we propose a Lyapunov-based approach to establish…

Systems and Control · Computer Science 2018-10-10 Seyed Hossein Mousavi , Navid Noroozi , Anton H. J. de Ruiter , Roman Geiselhart

The present paper is mainly aimed at introducing a novel notion of stability of nonlinear time-delay systems called Rational Stability. According to the Lyapunov-type, various sufficient conditions for rational stability are reached. Under…

Optimization and Control · Mathematics 2018-09-17 Nadhem Echi , Boulbaba Ghanmi

Compliance is a strong requirement for human-robot interactions. Soft-robots provide an opportunity to cover the lack of compliance in conventional actuation mechanisms, however, the control of them is very challenging given their intrinsic…

Robotics · Computer Science 2021-10-12 Mahmood Mazare , Silvia Tolu , Mostafa Taghizadeh

Autonomous systems operating in close proximity with each other to cover a specified area has many potential applications, but to achieve effective coordination, two key challenges need to be addressed: coordination and safety. For…

Systems and Control · Electrical Eng. & Systems 2019-11-18 Juan Chacon , Mo Chen , Razvan C. Fetecau

In this study, we propose new global stabilization approaches for a class of polynomial systems in both model-based and data-driven settings. The existing model-based approach guarantees global asymptotic stability of the closed-loop system…

Optimization and Control · Mathematics 2025-05-21 Huayuan Huang , M. Kanat Camlibel , Raffaella Carloni , Henk J. van Waarde

This paper is concerned with stability analysis of nonlinear time-varying systems by using Lyapunov function based approach. The classical Lyapunov stability theorems are generalized in the sense that the time-derivative of the Lyapunov…

Dynamical Systems · Mathematics 2017-08-18 Bin Zhou

In this work, we address the problem of finite-time stabilization for a class of bilinear system. We propose a decomposition-based approach in which the nominal system is split into two subsystems, one of which is inherently finite-time…

Optimization and Control · Mathematics 2025-06-26 Kamal Fenza , Moussa Labbadi , Mohamed Ouzahra

This article presents an adaptive nonlinear delayed feedback control scheme for stabilizing the unstable periodic orbit of unknown fractional-order chaotic systems. The proposed control framework uses the Lyapunov approach and sliding mode…

Systems and Control · Electrical Eng. & Systems 2023-11-10 Bahram Yaghooti , Kaveh Safavigerdini , Reza Hajiloo , Hassan Salarieh