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Understanding how time delays impact the stability of a delay differential equation is important for modeling many natural and technological systems that experience time delays. Here we introduce a new stability criterion for…

Dynamical Systems · Mathematics 2025-08-25 Quinlan Leishman , Benjamin Webb

High performance tracking control can only be achieved if a good model of the dynamics is available. However, such a model is often difficult to obtain from first order physics only. In this paper, we develop a data-driven control law that…

Systems and Control · Computer Science 2018-11-20 Thomas Beckers , Jonas Umlauft , Dana Kulić , Sandra Hirche

This paper addresses the trajectory tracking problem of an autonomous tractor-trailer system by using a fast distributed nonlinear model predictive control algorithm in combination with nonlinear moving horizon estimation for the state and…

Systems and Control · Electrical Eng. & Systems 2021-04-21 Erkan Kayacan , Erdal Kayacan , Herman Ramon , Wouter Saeys

Non-ideal deterministic system "tank with liquid-electric motor" is studied. Two delay-approximation models are considered. Impact of the delay on the emergence, evolution and disappearance of regular and chaotic limit sets (attractors) of…

Chaotic Dynamics · Physics 2025-12-16 I. A. Seit-Dzhelil , A. Yu. Shvets

This paper studies the tracking control problem of nonlinear networked and quantized control systems (NQCSs) with communication delays. The desired trajectory is generated by a reference system. The communication network is to guarantee the…

Systems and Control · Electrical Eng. & Systems 2021-10-19 Wei Ren , Junlin Xiong

Networked control systems are closed-loop feedback control systems containing system components that may be distributed geographically in different locations and interconnected via a communication network such as the Internet. The quality…

Robotics · Computer Science 2023-07-19 Mahsa Noroozi , Kai Wang

We present an analysis of time-delayed feedback control used to stabilize an unstable steady state of a neutral delay differential equation. Stability of the controlled system is addressed by studying the eigenvalue spectrum of a…

Chaotic Dynamics · Physics 2012-09-21 K. B. Blyuss , Y. N. Kyrychko , P. Hoevel , E. Schoell

The introduction of automated flight control and management systems have made possible aircraft designs that sacrifice arodynamic stability in order to incorporate stealth technology intro their shape, operate more efficiently, and are…

Systems and Control · Computer Science 2016-07-22 Sayed Pouria Talebi

Saddle point problems arise from many wireless applications, and primal-dual iterative algorithms are widely applied to find the saddle points. In the existing literature, the convergence results of such algorithms are established assuming…

Information Theory · Computer Science 2017-04-26 Junting Chen , Vincent K. N. Lau

This paper addresses the challenge of achieving stable adaptive teleoperation and improving the convergence rate in the presence of high communication time delays. We employ a passivity-based formalism to establish stability using wave…

Optimization and Control · Mathematics 2024-08-16 Naveen Kumar Rajarajan , Sridhar Babu Mudhangulla , Olugbenga Moses Anubi

This paper investigates the global stability and the global asymptotic stability independent of the sizes of the delays of linear time-varying Caputo fractional dynamic systems of real fractional order possessing internal point delays. The…

Dynamical Systems · Mathematics 2010-10-18 M. De La Sen

Biological motor control provides highly effective solutions to difficult control problems in spite of the complexity of the plant and the significant delays in sensory feedback . Such delays are expected to lead to non trivial stability…

Optimization and Control · Mathematics 2009-09-15 Dmitry Volkinshtein , Ron Meir

Delay-coordinate embedding is a powerful, time-tested mathematical framework for reconstructing the dynamics of a system from a series of scalar observations. Most of the associated theory and heuristics are overly stringent for real-world…

Dynamical Systems · Mathematics 2018-05-22 Joshua Garland

This paper focuses on the link scheduling problem in networks where signal delays between nodes are multiples of a time interval. To model such networks, a directed hypergraph is employed, along with an integer matrix that specifies the…

Information Theory · Computer Science 2024-10-28 Shenghao Yang , Jun Ma , Yanxiao Liu

Many dynamic processes involve time delays, thus their dynamics are governed by delay differential equations (DDEs). Studying the stability of dynamic systems is critical, but analyzing the stability of time-delay systems is challenging…

Dynamical Systems · Mathematics 2020-05-22 Surya Samukham , Thomas K. Uchida , C. P. Vyasarayani

High-precision manipulation has always been a developmental goal for aerial manipulators. This paper investigates the kinematic coordinate control issue in aerial manipulators. We propose a predictive kinematic coordinate control method,…

Robotics · Computer Science 2025-03-05 Zhengzhen Li , Jiahao Shen , Mengyu Ji , Huazi Cao , Shiyu Zhao

The delayed logistic equation (also known as Hutchinson's equation or Wright's equation) was originally introduced to explain oscillatory phenomena in ecological dynamics. While it motivated the development of a large number of mathematical…

Dynamical Systems · Mathematics 2019-10-02 Ruth E. Baker , Gergely Röst

A class of data-driven control methods has recently emerged based on Willems' fundamental lemma. Such methods can ease the modelling burden in control design but can be sensitive to disturbances acting on the system under control. In this…

Systems and Control · Electrical Eng. & Systems 2022-12-06 Edward O'Dwyer , Eric C. Kerrigan , Paola Falugi , Marta A. Zagorowska , Nilay Shah

In this paper, we present a solution to the problem of coordinating multiple robots across a communication channel that experiences delays. The proposed approach leverages control barrier functions in order to ensure that the multi-robot…

Systems and Control · Computer Science 2019-09-04 Gennaro Notomista , Xiaoyi Cai , Junya Yamauchi , Magnus Egerstedt

This work presents a theoretical framework for the safety-critical control of time delay systems. The theory of control barrier functions, that provides formal safety guarantees for delay-free systems, is extended to systems with state…

Systems and Control · Electrical Eng. & Systems 2022-06-20 Adam K. Kiss , Tamas G. Molnar , Aaron D. Ames , Gabor Orosz