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This paper studies the boundary output feedback stabilization of general 1-D reaction-diffusion PDEs in the presence of a state delay in the reaction term. The control input applies through a Robin boundary condition while the system output…

最优化与控制 · 数学 2021-06-01 Hugo Lhachemi , Robert Shorten

Controlling chaos caused by the current-driven ion acoustic instability is attempted using the delayed continuous feedback method, i.e., the time-delay auto synchronization (TDAS) method introduced by Pyragas [Phys. Lett. A 170 (1992)…

等离子体物理 · 物理学 2007-05-23 Takao Fukuyama , Christian Wilke , Yoshinobu Kawai

This paper is concerned with the output feedback boundary stabilization of general 1-D reaction diffusion PDEs in the presence of an arbitrarily large input delay. We consider the cases of Dirichlet/Neumann/Robin boundary conditions for the…

最优化与控制 · 数学 2022-07-13 Hugo Lhachemi , Christophe Prieur

Stabilization of linear systems with unknown dynamics is a canonical problem in adaptive control. Since the lack of knowledge of system parameters can cause it to become destabilized, an adaptive stabilization procedure is needed prior to…

系统与控制 · 计算机科学 2018-07-25 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

This work focuses on a compositional data-driven approach to verify incremental global asymptotic stability (delta-GAS) over interconnected homogeneous networks of degree one with unknown mathematical dynamics. Our proposed approach…

系统与控制 · 电气工程与系统科学 2026-04-29 Mahdieh Zaker , David Angeli , Abolfazl Lavaei

We apply a recently proposed method for the analysis of time series from systems with delayed feedback to experimental data generated by a CO_2 laser. The method is able to estimate the delay time with an error of the order of the sampling…

chao-dyn · 物理学 2009-10-31 M. J. Bünner , M. Ciofini , A. Giaquinta , R. Hegger , H. Kantz , R. Meucci , A. Politi

In this paper, stability analysis of time delay systems is considered based on decomposition of the systems to subsystems. The decomposition process needs matrices of these systems to be simultaneously block triangularize. We show that a…

最优化与控制 · 数学 2016-11-29 Mohammad Mousa-Abadian , Sayed Hodjatollah Momeni-Masuleh , Mohammad Haeri

This paper develops a direct data-driven framework for infinite networks with unknown nonlinear polynomial subsystems, enabling the synthesis of controllers that ensure the entire network is uniformly globally asymptotically stable (UGAS).…

系统与控制 · 电气工程与系统科学 2026-04-14 Mahdieh Zaker , Andrii Mironchenko , Amy Nejati , Abolfazl Lavaei

In this paper, we study the simultaneous stability problem of a finite number of locally inter-connected linear subsystems under practical constraints, including asynchronous and aperiodic sampling, time-varying delays, and measurement…

最优化与控制 · 数学 2017-10-06 Feng Xiao , Yang Shi , Wei Ren

Implementation is a common problem with feedback laws with distributed delays. This paper focuses on a specific aspect of the implementation problem for predictor-based feedback laws: the problem of the approximation of the predictor…

最优化与控制 · 数学 2012-11-07 Iasson Karafyllis , Miroslav Krstic

This paper tackles state feedback control of switched linear systems under arbitrary switching. We propose a data-driven control framework that allows to compute a stabilizing state feedback using only a finite set of observations of…

最优化与控制 · 数学 2022-05-05 Zheming Wang , Guillaume O. Berger , Raphaël M. Jungers

In this paper we characterize the output feedback stabilization of some coupled systems with delay. The proof of the main result uses the method introduced in Ammari and Tucsnak \cite{at} where the exponential stability for the closed loop…

偏微分方程分析 · 数学 2010-10-19 E. M. Ait Benhassi , K. Ammari , S. Boulite , L. Maniar

We analyze the stabilization of unstable steady states by delayed feedback control with a periodic time-varying delay in the regime of a high-frequency modulation of the delay. The average effect of the delayed feedback term in the control…

混沌动力学 · 物理学 2013-09-20 Aleksandar Gjurchinovski , Thomas Jüngling , Viktor Urumov , Eckehard Schöll

The purpose of this article is to introduce the original results which devoted with the nonlinear control system problems involves of nonlinear differential equations of fractional orders. Thus, this system is described with a mixed of…

最优化与控制 · 数学 2024-04-09 B. Hassoun , R. Al-Saphory , S. Hassan

A novel approach to design the feedback control based on past states is proposed for hybrid stochastic differential equations (HSDEs). This new theorem builds up the connection between the delay feedback control and the control function…

最优化与控制 · 数学 2019-07-30 Junhao Hu , Wei Liu , Feiqi Deng , Xuerong Mao

We study networked control of non-linear systems where system states and tentative plant input sequences are transmitted over unreliable communication channels. The sequences are calculated recursively by using a pre-designed nominally…

最优化与控制 · 数学 2013-11-08 Daniel E. Quevedo , Isabel Jurado

This paper studies the robustness of a PDE backstepping delay-compensated boundary controller for a reaction-diffusion partial differential equation (PDE) with respect to a nominal delay subject to stochastic error disturbance. The…

最优化与控制 · 数学 2024-01-22 Dandan Guan , Jie Qi , Mamadou Diagne

We study the problem of robust global stabilization in control-affine systems, focusing on dynamic uncertainties in the control directions \emph{and} the presence of topological obstructions that prevent the existence of smooth global…

最优化与控制 · 数学 2024-12-10 Mahmoud Abdelgalil , Jorge I. Poveda

We present a robust model predictive control method (MPC) for discrete-time linear time-delayed systems with state and control input constraints. The system is subject to both polytopic model uncertainty and additive disturbances. In the…

系统与控制 · 电气工程与系统科学 2022-09-27 Shaoru Chen , Ning-Yuan Li , Victor M. Preciado , Nikolai Matni

Recently, a constructive method was suggested for finite-dimensional observer-based control of 1D linear heat equation, which is robust to input/output delays. In this paper, we aim to extend this method to the 2D case with general…

系统与控制 · 电气工程与系统科学 2024-01-17 Pengfei Wang , Emilia Fridman
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