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This paper investigates a planar tracking problem between a leader and follower agent. We propose a novel feedback speed control law, paired with a constant bearing steering strategy, to maintain an abreast formation between the two agents.…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Xincheng Li , Tengyue Liu , Udit Halder

We use the backstepping method to study the stabilization of a 1-D linear transport equation on the interval (0, L), by controlling the scalar amplitude of a piecewise regular function of the space variable in the source term. We prove that…

Optimization and Control · Mathematics 2019-11-21 Christophe Zhang

This paper discusses the boundary feedback stabilization of a reaction-diffusion equation with Robin boundary conditions and in the presence of a time-varying state-delay. The proposed control design strategy is based on a…

Optimization and Control · Mathematics 2020-03-17 Hugo Lhachemi , Robert Shorten

The robust distributed state estimation for a class of continuous-time linear time-invariant systems is achieved by a novel kernel-based distributed observer, which, for the first time, ensures fixed-time convergence properties. The…

Systems and Control · Electrical Eng. & Systems 2022-09-21 Pudong Ge , Peng Li , Boli Chen , Fei Teng

For vibrating systems, a delay in the application of a feedback control can destroy the stabilizing effect of the control. In this paper we consider a vibrating string that is fixed at one end and stabilized with a boundary feedback with…

Optimization and Control · Mathematics 2010-06-14 Martin Gugat , Marius Tucsnak

This paper presents a dynamic state observer design for discrete-time linear time-varying systems that robustly achieves equalized recovery despite delayed or missing observations, where the set of all temporal patterns for the missing or…

Systems and Control · Electrical Eng. & Systems 2021-01-12 Syed M. Hassaan , Qiang Shen , Sze Zheng Yong

In recent years, the distributed-observer-based distributed control law has shown powerful ability to arbitrarily approximate the centralized control performance. However, the traditional distributed observer requires each local observer to…

Systems and Control · Electrical Eng. & Systems 2025-10-31 Haotian Xu , Shuai Liu , Ling Shi

In this paper, we consider a class of linear boundary systems with delays in state, input and boundary output. We prove the well-posedness and derive some spectral properties of linear system with delayed boundary feedback under some…

Analysis of PDEs · Mathematics 2015-10-05 Zhan-Dong Mei , Ji-Gen Peng

This paper is concerned with the point torque boundary feedback stabilization of a damped Euler-Bernoulli beam model in the presence of a time-varying state-delay. First, a finite-dimensional truncated model is derived by spectral…

Optimization and Control · Mathematics 2019-12-04 Hugo Lhachemi , Robert Shorten

This survey paper deals with the stabilization of nonlinear systems by analyzing the controlling method in terms of state feedback and output feedback. A brief overview of some literature on how the feedback controller of some dynamic…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Demelash Abiye Deguale

In this paper we study well-posedness and asymptotic stability for a class of nonlinear second-order evolution equations with intermittent delay damping. More precisely, a delay feedback and an undelayed one act alternately in time. We show…

Analysis of PDEs · Mathematics 2015-07-29 Genni Fragnelli , Cristina Pignotti

Time delay based control, recently proposed for non-collocated fourth-order systems, has several advantages over an observer-based state-feedback compensation of the low-damped oscillations in output. In this paper, we discuss a practical…

Systems and Control · Electrical Eng. & Systems 2024-04-23 Michael Ruderman

Sufficient conditions for global stabilization of nonlinear systems with delayed input by means of approximate predictors are presented. An approximate predictor is a mapping which approximates the exact values of the stabilizing input for…

Optimization and Control · Mathematics 2009-10-21 Iasson Karafyllis

This paper provides an alternative approach referred to as pseudo-predictor feedback (PPF) for stabilization of linear systems with multiple input delays. Differently from the traditional predictor feedback which is from the model reduction…

Optimization and Control · Mathematics 2016-07-11 Bin Zhou , Shen Cong

Systems with delayed feedback can possess chaotic attractors with extremely high dimension, even if only a few physical degrees of freedom are involved. We propose a state space reconstruction from time series data of a scalar observable,…

chao-dyn · Physics 2019-08-17 Rainer Hegger , Martin J. Bünner , Holger Kantz , Antonino Giaquinta

We design a new feedback law to stabilize a linear infinite-dimensional control system, where the state operator generates a C0-group and the control operator is unbounded. Our feedback law is based on the integration of a mutated Gramian…

Optimization and Control · Mathematics 2022-05-19 Yaxing Ma , Gengsheng Wang , Huaiqiang Yu

In this note, we present an effective solution to the stabilization of linear input delay systems subject to dissipative constraints while all the effect of input delay is compensated by a controller with novel structure. The method is…

Optimization and Control · Mathematics 2022-08-18 Qian Feng , Bo Wei

We investigate a control technique for spatially extended systems combining spatial filtering with a previously studied form of time-delay feedback. The scheme is naturally suited to real-time control of optical systems. We apply the…

We investigate the dynamics of a two-mode laser system by extending the two-mode Tavis-Cummings model with dissipative channels and incoherent pumping and by applying the mean-field approximation in the thermodynamic limit. To this end we…

Quantum Physics · Physics 2016-01-06 Wassilij Kopylov , Milan Radonjić , Tobias Brandes , Antun Balaž , Axel Pelster

In this paper, we study the problem of stabilizing continuous-time switched linear systems with quantized output feedback. We assume that the observer and the control gain are given for each mode. Also, the plant mode is known to the…

Systems and Control · Computer Science 2015-09-03 Masashi Wakaiki , Yutaka Yamamoto