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Reaction delays play an important role in determining the qualitative dynamical properties of a platoon of vehicles traversing a straight road. In this paper, we investigate the impact of delayed feedback on the dynamics of the Classical…

Systems and Control · Computer Science 2019-01-28 Gopal Krishna Kamath , Krishna Jagannathan , Gaurav Raina

Reaction delays are important in determining the qualitative dynamical properties of a platoon of vehicles traveling on a straight road. In this paper, we investigate the impact of delayed feedback on the dynamics of the Modified Optimal…

Systems and Control · Computer Science 2019-01-28 Gopal Krishna Kamath , Krishna Jagannathan , Gaurav Raina

With the rapid development of Connected and Automated Vehicle (CAV) technology, limited self-driving vehicles have been commercially available in certain leading intelligent transportation system countries. When formulating the…

Systems and Control · Electrical Eng. & Systems 2023-05-30 Dianchao Lin , Li Li

This paper addresses the problem of autonomous robot navigation in unknown, obstacle-filled environments with second-order dynamics by proposing a Dissipative Avoidance Feedback (DAF). Compared to the Artificial Potential Field (APF), which…

Systems and Control · Electrical Eng. & Systems 2025-04-01 Lyes Smaili , Zhiqi Tang , Soulaimane Berkane , Tarek Hamel

The stability of functional differential equations under delayed feedback is investigated near a Hopf bifurcation. Necessary and sufficient conditions are derived for the stability of the equilibrium solution using averaging theory. The…

Classical Analysis and ODEs · Mathematics 2008-12-31 Fatihcan M. Atay

We present a delayed feedback control (DFC) mechanism for stabilizing cycles of one dimensional discrete time systems. In particular, we consider a delayed feedback control for stabilizing $T$-cycles of a differentiable function $f:…

Optimization and Control · Mathematics 2015-01-20 D. Dmitrishin , P. Hagelstein , A. Khamitova , A. Stokolos

Input delays affect systems such as teleoperation and wirelessly autonomous connected vehicles, and may lead to safety violations. One promising way to ensure safety in the presence of delay is to employ control barrier functions (CBFs),…

Systems and Control · Electrical Eng. & Systems 2025-11-20 Yitaek Kim , Ersin Das , Jeeseop Kim , Aaron D. Ames , Joel W. Burdick , Christoffer Sloth

We study the effects of time delayed linear and nonlinear feedbacks on the dynamics of a single Hopf bifurcation oscillator. Our numerical and analytic investigations reveal a host of complex temporal phenomena such as phase slips,…

chao-dyn · Physics 2009-10-31 D. V. Ramana Reddy , A. Sen , G. L. Johnston

We study the possibility to stabilize unstable steady states and unstable periodic orbits in chaotic fractional-order dynamical systems by the time-delayed feedback method. By performing a linear stability analysis, we establish the…

General Physics · Physics 2011-07-07 Aleksandar Gjurchinovski , Trifce Sandev , Viktor Urumov

Learning-based adaptation of Control Barrier Function (CBF) parameters offers a promising path toward safe autonomous navigation that balances conservatism with performance. Yet the accuracy of the underlying safety predictor is ultimately…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Jiachen Li , Shihao Li , Dongmei Chen

This paper presents a framework grounded in the theory of describing function (DF) and incremental-input DF to theoretically analyze the nonlinear oscillatory response of automated vehicles (AVs) car-following (CF) amidst traffic…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Sixu Li , Yang Zhou

Noise has significant impact on nonlinear phenomena. Here we demonstrate that, in opposition to previous assumptions, additive noise interfere with the linear stability of scalar nonlinear systems when these are subject to time delay. We…

Dynamical Systems · Mathematics 2015-06-15 Jérémie Lefebvre , Axel Hutt

We study a scalar, first-order delay differential equation (DDE) with instantaneous and state-dependent delayed feedback, which itself may be delayed. The state dependence introduces nonlinearity into an otherwise linear system. We…

Dynamical Systems · Mathematics 2022-03-22 Antony R. Humphries , Bernd Krauskopf , Stefan Ruschel , Jan Sieber

The vibro-impact capsule system is a self-propelled mechanism that has abundant coexisting attractors and moves rectilinearly under periodic excitation when overcoming environmental resistance. In this paper, we study the control of…

Systems and Control · Electrical Eng. & Systems 2023-04-12 Zhi Zhang , Joseph Páez Chávez , Jan Sieber , Yang Liu

Despite growing interest in vehicle platooning research, the effect of communication capability between platoons is not investigated to a depth of depth. In this paper, we extend a single-platoon car-following (CF) model to multi-platoon CF…

Systems and Control · Electrical Eng. & Systems 2025-02-27 Shouwei Hui , Michael Zhang

The paper investigates the features of emissions and fuel consumption (EFC) in a car-following (CF) platoon based on two experimental datasets. Four classical EFC models are employed and a universal concave growth pattern of the EFC along a…

Physics and Society · Physics 2023-05-02 Shirui Zhou , Ying-En Ge , Shaowei Yu , Junfang Tian , Rui Jiang

We investigate the steady-state solution and its bifurcations in time-delay systems with band-limited feedback. This is a first step in a rigorous study concerning the effects of AC-coupled components in nonlinear devices with time-delayed…

Chaotic Dynamics · Physics 2009-11-11 Lucas Illing , Daniel J. Gauthier

We develop a predictor-feedback cooperative adaptive cruise control (CACC) design relying on a multiple-predecessor-following (MPF) topology-based nominal delay-free CACC law. We consider vehicular platoons with heterogeneous vehicles,…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Amirhossein Samii , Dimitrios Angelopoulos , Nikolaos Bekiaris-Liberis

Cannabis consumption impairs key driving skills and increases crash risk, yet few objective, validated tools exists to identify acute cannabis use or impairment in traffic safety settings. Pupil response to light has emerged as a promising…

Methodology · Statistics 2025-10-28 Weijia Qian , Erjia Cui , Ashley Brooks-Russell , Julia Wrobel

Car-following behavior modeling is critical for understanding traffic flow dynamics and developing high-fidelity microscopic simulation models. Most existing impulse-response car-following models prioritize computational efficiency and…

Applications · Statistics 2025-04-09 Chengyuan Zhang , Wenshuo Wang , Lijun Sun
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