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We propose a novel sampled-data output-feedback controller for nonlinear systems of arbitrary relative degree that ensures reference tracking within prescribed error bounds. We provide explicit bounds on the maximum input signal and the…

We study the stabilization of networked control systems with asynchronous sensors and controllers. Offsets between the sensor and controller clocks are unknown and modeled as parametric uncertainty. First we consider multi-input linear…

系统与控制 · 计算机科学 2017-03-02 Masashi Wakaiki , Kunihisa Okano , Joao P. Hespanha

We consider the output-feedback stabilization of a one-dimensional cascade coupling a reaction-diffusion equation and a wave equation through an internal term, with Neumann boundary control acting at the wave endpoint. Two measurements are…

最优化与控制 · 数学 2026-01-26 Hugo Lhachemi , Christophe Prieur , Emmanuel Trélat

Repeated measurements on a part of a bipartite system strongly affect the other part not measured, whose dynamics is regulated by an effective contracted evolution operator. When the spectrum of this operator is discrete, the latter system…

量子物理 · 物理学 2011-03-09 Bruno Bellomo , Giuseppe Compagno , Hiromichi Nakazato , Kazuya Yuasa

A useful sampling-reconstruction model should be stable with respect to different kind of small perturbations, regardless whether they result from jitter, measurement errors, or simply from a small change in the model assumptions. In this…

综合数学 · 数学 2007-05-31 E. costa-Reyes , A. Aldroubi , I. Krishtal

We consider the problem of zeroing an error output of a nonlinear discrete-time system in the presence of constant exogenous disturbances, subject to hard convex constraints on the input signal. The design specification is formulated as a…

最优化与控制 · 数学 2021-05-07 John W. Simpson-Porco

This paper presents novel controllers that yield finite-time stability for linear systems. We first present a sufficient condition for the origin of a scalar system to be finite-time stable. Then we present novel finite-time controllers…

动力系统 · 数学 2021-06-11 Kunal Garg , Dimitra Panagou

For general nonlinear autonomous systems, a Lyapunov characterization for the possibility of semi-global asymptotic stabilizability by means of a time-varying sampled-data feedback is established. We exploit this result in order to derive a…

最优化与控制 · 数学 2015-09-10 John Tsinias , Dionysis Theodosis

In this paper we first study the fixed-time stabilizability of discrete-time switched linear control systems. Using a geometric approach, we derive conditions under which such systems can be stabilized within a prescribed number of steps,…

最优化与控制 · 数学 2026-04-30 Picchiotti Flavio , Thiago Alves Lima , Girard Antoine

We study the stability and stabilizability of a continuous-time switched control system that consists of the time-invariant $n$-dimensional subsystems \dot{x}=A_ix+B_i(x)u\quad (x\in\mathbb{R}^n, t\in\mathbb{R}_+ \textrm{and}…

系统与控制 · 计算机科学 2012-01-11 Xiongping Dai

In this paper it is showed that if a time-varying uncertain system is robustly completely detectable then there exists an estimator for this system, i.e. we can estimate asymptotically the state vector of the system. Moreover, if a…

最优化与控制 · 数学 2007-05-23 Iasson Karafyllis , Costas Kravaris

Stability and stabilization for linear state feedback control systems in the presence of sensor quantization are studied. As the closed-loop system is described by a discontinuous right-hand side differential equation, Krasovskii solutions…

最优化与控制 · 数学 2021-12-21 Francesco Ferrante , Frédéric Gouaisbaut , Sophie Tarbouriech

There are classical theorems of analysis which, given certain conditions on a perturbation, assert stability of the essential and absolutely continuous components of the spectrum of a self-adjoint operator. Whereas the singular component is…

谱理论 · 数学 2021-10-27 Nurulla Azamov

This paper addresses the problem of stabilization for infinite-dimensional systems. In particular, we design nonlinear stabilizers for both linear and nonlinear abstract systems. We focus on two classes of systems: the first class comprises…

系统与控制 · 电气工程与系统科学 2025-09-19 Kamal Fenza , Moussa Labbadi , Mohamed Ouzahra

This work explores the trade-off between the number of samples required to accurately build models of dynamical systems and the degradation of performance in various control objectives due to a coarse approximation. In particular, we show…

最优化与控制 · 数学 2017-12-01 Stephen Tu , Ross Boczar , Andrew Packard , Benjamin Recht

In this paper, we will propose linear-matrix-inequality-based techniques for the design of sampled-data controllers that render the closed-loop system dissipative with respect to \textcolor{blue}{quadratic supply functions}, which includes…

系统与控制 · 电气工程与系统科学 2024-03-14 L. M. Spin , M. C. F. Donkers

This paper is concerned with the study of the stability of dynamical systems evolving on time scales. We first {formalize the notion of matrix measures on time scales, prove some of their key properties and make use of this notion to study…

动力系统 · 数学 2022-06-10 Giovanni Russo , Fabian Wirth

This paper addresses sampled-data control of 2D Kuramoto-Sivashinsky equation over a rectangular domain. We suggest to divide the 2D rectangular into N sub-domains, where sensors provide spatially averaged or point state measurements to be…

偏微分方程分析 · 数学 2020-12-01 Wen Kang , Emilia Fridman

This work presents a sum-of-squares (SOS) based framework to perform data-driven stabilization and robust control tasks on discrete-time linear systems where the full-state observations are corrupted by L-infinity bounded input,…

最优化与控制 · 数学 2023-03-31 Jared Miller , Tianyu Dai , Mario Sznaier

This paper addresses stochastic stabilization in case where implementation of control policies is digital, i. e., when the dynamical system is treated continuous, whereas the control actions are held constant in predefined time steps. In…

动力系统 · 数学 2022-11-08 Pavel Osinenko , Grigory Yaremenko