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This work studies the design problem of feedback stabilizers for discrete-time systems with input delays. A backstepping procedure is proposed for disturbance-free discrete-time systems. The feedback law designed by using backstepping…

最优化与控制 · 数学 2012-12-05 Iasson Karafyllis , Miroslav Krstic

We establish well-posedness results for non-autonomous semilinear input-output systems, the central assumption being the scattering-passivity of the considered semilinear system. We consider both systems with distributed control and…

偏微分方程分析 · 数学 2021-01-15 Jochen Schmid

This work focuses on the well-posedness of abstract stochastic linear systems with boundary input delay and unbounded observation operators. We use product spaces and a semigroup approach to reformulate such delay systems into free-delay…

最优化与控制 · 数学 2021-12-28 Said Hadd , Fatima Zahra Lahbiri

We complete the first step towards the resolution of several decades-old challenges in disturbance-robust adaptive control. For a scalar linear system with an unknown parameter for which no a priori bound is given, with a disturbance that…

最优化与控制 · 数学 2023-04-07 Iasson Karafyllis , Miroslav Krstic , Alexandros Aslanidis

In this work, spectrum and asymptotics of eigenfunctions of a generalized class of boundary value problems with a delay are obtained.

经典分析与常微分方程 · 数学 2019-05-20 Erdoğan Şen

Discrete-time systems under aperiodic sampling may serve as a modeling abstraction for a multitude of problems arising in cyber-physical and networked control systems. Recently, model- and data-based stability conditions for such systems…

系统与控制 · 电气工程与系统科学 2021-10-28 Stefan Wildhagen , Julian Berberich , Matthias Hirche , Frank Allgöwer

A higher-order nonlinear Boussinesq system with a time-dependent boundary delay is considered. Sufficient conditions are presented to ensure the well-posedness of the problem by utilizing Kato's variable norm technique and the Fixed-Point…

偏微分方程分析 · 数学 2025-05-02 G. Bautista , R. de A. Capistrano--Filho , B. Chentouf , O. Sierra Fonseca

We develop a predictor-feedback control design for multi-input nonlinear systems with distinct input delays, of arbitrary length, in each individual input channel. Due to the fact that different input signals reach the plant at different…

最优化与控制 · 数学 2015-08-25 Nikolaos Bekiaris-Liberis , Miroslav Krstic

Linear stability of synchronized states in networks of delay-coupled oscillators depends on the type of interaction, the network and oscillator properties. For inert oscillator response, found ubiquitously from biology to engineering,…

适应与自组织系统 · 物理学 2022-02-02 Dimitrios Prousalis , Lucas Wetzel

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…

最优化与控制 · 数学 2020-03-17 Hugo Lhachemi , Robert Shorten

This paper is concerned with the state estimation problem for genetic regulatory networks with time-varying delays and reaction-diffusion terms under Dirichlet boundary conditions. It is assumed that the nonlinear regulation function is of…

最优化与控制 · 数学 2015-09-15 Y. Y. Han , X. Zhang , L. G. Wu , Y. T. Wang

This paper focuses on consensus problems for high-order, linear multi-agent systems. Undirected communication topologies and fixed, uniform communication time delay are taken into account. This class of problems has been widely study in the…

最优化与控制 · 数学 2016-05-06 Rudy Cepeda-Gomez

In this paper we address the problem of state observation of linear time-varying systems with delayed measurements, which has attracted the attention of many researchers|see [7] and references therein. We show that, adopting the parameter…

系统与控制 · 电气工程与系统科学 2020-08-21 Alexey Bobtsov , Nikolay Nikolaev , Romeo Ortega , Denis Efimov

This paper presents a Lyapunov-Halanay method to study global asymptotic stabilization (GAS) of nonlinear retarded systems subject to large constant delays in input/output - a challenging problem due to their inherent destabilizing effects.…

系统与控制 · 电气工程与系统科学 2026-03-16 Xin Yu , Wei Lin

This paper is a comprehensive study of a long observed phenomenon of increase in the stability margin and so the rate of convergence of a class of linear systems due to time delay. We use Lambert W function to determine (a) in what systems…

多智能体系统 · 计算机科学 2019-07-23 Hossein Moradian , Solmaz S. Kia

This paper presents a novel methodology for evaluating the boundedness, stability, and instability of some vector nonlinear systems with multiple time-varying delays and variable coefficients. The proposed technique develops two scalar…

动力系统 · 数学 2024-08-26 Mark A. Pinsky

This paper deals with the boundary stabilization problem of a one-dimensional wave equation with a switching time-delay in the boundary. We show that the problem is well-posed in the sense of semigroups theory of linear operators. Then, we…

偏微分方程分析 · 数学 2020-07-27 Kaïs Ammari , Boumediène Chentouf , Nejib Smaoui

We develop delay-compensating feedback laws for linear switched systems with time-dependent switching. Because the future values of the switching signal, which are needed for constructing an exact predictor-feedback law, may be unavailable…

系统与控制 · 电气工程与系统科学 2026-01-19 Andreas Katsanikakis , Nikolaos Bekiaris-Liberis

The problem of stabilization of a system of coupled PDEs of the forth-order by means of boundary control is investigated. The considered setup arises from the classical Euler-Bernoulli beam model, and constitutes a generalization of…

系统与控制 · 电气工程与系统科学 2020-01-17 Andrea Cristofaro , Francesco Ferrante

Infinite-dimensional linear systems with unbounded input and output operators are considered. For the purpose of finite-dimensional observer-based state feedback, an observer approximation scheme will be developed which can be directly…

最优化与控制 · 数学 2022-11-28 Marcus Riesmeier , Frank Woittennek