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We extend the classical concepts of sampling and Euler solutions for control systems associated to discontinuous feedbacks by considering also the corresponding costs. In particular, we introduce the notions of Sample and Euler…

最优化与控制 · 数学 2020-04-24 Anna Chiara Lai , Monica Motta

In this paper we study time semi-discrete approximations of a class of exponentially stable infinite dimensional systems with unbounded feedbacks. It has recently been proved that for time semi-discrete systems, due to high frequency…

最优化与控制 · 数学 2013-06-18 Zayd Hajjej , Mohamed Balegh

The stabilization of nonautonomous parabolic equations is achieved by feedback inputs tuning a finite number of actuators, where it is assumed that the input is subject to a time delay. To overcome destabilizing effects of the time delay,…

最优化与控制 · 数学 2025-11-21 Karl Kunisch , Sérgio S. Rodrigues

We consider the problem of pointwise stabilization of a one-dimensional wave equation with an internal spatially varying anti-damping term. We design a feedback law based on the backstepping method and prove exponential stability of the…

系统与控制 · 计算机科学 2018-12-31 Fathi Hassine

Due to the rapid developments in synchronized measurement technologies, there exist enormous opportunities to attenuate disturbances in future power grids with high penetration of renewables and complex load demands. To that end, this paper…

系统与控制 · 电气工程与系统科学 2023-10-03 Muhammad Nadeem , MirSaleh Bahavarnia , Ahmad F. Taha

In this paper, we analyze a systematically designed and easily tunable backstepping-based boundary control concept developed by Thull, Wild, and Kugi (2006) for a gantry crane with heavy chain and payload. The corresponding closed-loop…

偏微分方程分析 · 数学 2017-05-25 Dominik Stürzer , Anton Arnold , Andreas Kugi

The design of robust orbitally stabilizing feedback is considered. From a known orbitally stabilizing controller for a nominal, disturbance-free system, a robustifying feedback extension is designed utilizing the sliding-mode control (SMC)…

系统与控制 · 电气工程与系统科学 2021-09-02 Christian Fredrik Sætre , Anton S. Shiriaev , Leonid B. Freidovich , Sergei V. Gusev , Leonid M. Fridman

The feedback stabilization problem for ensembles of coupled spin 1/2 systems is discussed from a control theoretic perspective. The noninvasive nature of the bulk measurement allows for a fully unitary and deterministic closed loop. The…

量子物理 · 物理学 2018-08-30 Claudio Altafini

This article presents input-output stability analysis of nonlinear feedback systems based on the notion of soft and hard scaled relative graphs (SRGs). The soft and hard SRGs acknowledge the distinction between incremental positivity and…

系统与控制 · 电气工程与系统科学 2026-05-12 Chao Chen , Sei Zhen Khong , Rodolphe Sepulchre

This paper provides a constructive passivity-based control approach to solve the set-point regulation problem for input-affine continuous nonlinear systems while considering saturation in the inputs. As customarily in passivity-based…

系统与控制 · 电气工程与系统科学 2021-09-23 Pablo Borja , Carmen Chan-Zheng , Jacquelien M. A. Scherpen

We consider the stabilisation of solutions to the Cahn-Hilliard equation towards a given trajectory by means of a finite-dimensional static output feedback mechanism. Exponential stabilisation of the controlled state around the target…

最优化与控制 · 数学 2025-05-01 Herbert Egger , Marvin Fritz , Karl Kunisch , Sérgio S. Rodrigues

By using dissipativity approach, we establish the stability condition for the feedback connection of a deterministic dynamical system $\Sigma$ and a stochastic memoryless map $\Psi$. After that, we extend the result to the class of large…

系统与控制 · 电气工程与系统科学 2020-05-08 Koji Tsumura , Binh Minh Nguyen , Hisaya Wakayama , Shinji Hara

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 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 study convergence and stability properties of control-affine systems. Our considerations are motivated by the problem of stabilizing a control-affine system by means of output feedback for states in which the output function attains an…

动力系统 · 数学 2018-06-12 Raik Suttner

In this paper, for linear time-invariant plants, where a collection of possible inputs and outputs are known a priori, we address the problem of determining the communication between outputs and inputs, i.e., information patterns, such that…

最优化与控制 · 数学 2015-09-09 J. Frederico Carvalho , Sergio Pequito , A. Pedro Aguiar , Soummya Kar , George J. Pappas

Feedback loops are at the heart of most classical control procedures. A controller compares the signal measured by a sensor with the target value. It adjusts then an actuator in order to stabilize the signal towards its target. Generalizing…

Results on the problem of stabilizing a nonlinear continuous-time system by a finite number of control or measurement values are presented. The basic tool is a discontinuous version of the so-called semi-global backstepping lemma. We derive…

最优化与控制 · 数学 2010-04-13 C. De Persis

We consider a model of a decentralized multiple access system with a non-standard binary feedback where the empty and collision situations cannot be distinguished. We show that, like in the case of a ternary feedback, for any input rate…

概率论 · 数学 2016-07-12 Sergey Foss , Bruce Hajek , Andrey Turlikov

The aim of this work is to design an explicit finite dimensional boundary feedback controller of sampled-data form for locally exponentially stabilizing the equilibrium solutions to semilinear parabolic equations. The feedback controller is…

最优化与控制 · 数学 2019-08-09 Hanbing Liu