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Nonlinear quantum optical systems are of paramount relevance for modern quantum technologies, as well as for the study of dissipative phase transitions. Their nonlinear nature makes their theoretical study very challenging and hence they…

We propose an abstract framework for solving the constrained set-point tracking problem for impedance passive infinite-dimensional nonlinear systems. The class of systems considered is governed by monotone differential inclusions and allows…

最优化与控制 · 数学 2025-06-18 Nicolas Vanspranghe , Pietro Lorenzetti , Lassi Paunonen , George Weiss

The article addresses the convergence of implicit and semi-implicit, fully discrete approximations of a class of nonlinear parabolic evolution problems. Such schemes are popular in the numerical solution of evolutions defined with the…

数值分析 · 数学 2019-02-22 Sören Bartels , Michael Růžička

In this note, a novel observer-based output feedback control approach is proposed to address the distributed optimal output consensus problem of uncertain nonlinear multi-agent systems in the normal form over unbalanced directed graphs. The…

系统与控制 · 电气工程与系统科学 2021-11-17 Jin Zhang , Lu Liu , Xinghu Wang , Haibo Ji

In this paper, we investigate the problem of semi-global minimal time robust stabilization of analytic control systems with controls entering linearly, by means of a hybrid state feedback law. It is shown that, in the absence of minimal…

最优化与控制 · 数学 2016-08-16 Christophe Prieur , Emmanuel Trélat

We present a method to design a state-feedback controller ensuring exponential stability for nonlinear systems using only measurement data. Our approach relies on Koopman-operator theory and uses robust control to explicitly account for…

系统与控制 · 电气工程与系统科学 2025-01-08 Robin Strässer , Manuel Schaller , Karl Worthmann , Julian Berberich , Frank Allgöwer

We study a nonlinear, non-autonomous feedback controller applied to boundary control systems. Our aim is to track a given reference signal with prescribed performance. Existence and uniqueness of solutions to the resulting closed-loop…

最优化与控制 · 数学 2022-03-09 Marc Puche , Timo Reis , Felix Schwenninger

In the present work, we consider nonlinear control systems for which there exist structural obstacles to the design of classical continuous backstepping feedback laws. We conceive feedback laws such that the origin of the closed-loop system…

最优化与控制 · 数学 2015-08-12 Humberto Stein Shiromoto , Vincent Andrieu , Christophe Prieur

Designing a static state-feedback controller subject to structural constraint achieving asymptotic stability is a relevant problem with many applications, including network decentralized control, coordinated control, and sparse feedback…

最优化与控制 · 数学 2021-06-03 Francesco Ferrante , Fabrizio Dabbene , Chiara Ravazzi

This paper addresses the problem of robust and optimal control for the class of nonlinear quadratic systems subject to norm-bounded parametric uncertainties and disturbances, and in presence of some amplitude constraints on the control…

系统与控制 · 计算机科学 2017-01-12 Merola Alessio , Cosentino Carlo , Colacino Domenico , Amato Francesco

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

In this article, we investigate the problem of exponential stabilization via output feedback for a cascaded system composed of an ordinary differential equation (ODE) and a wave partial differential equation (PDE) under boundary control.…

最优化与控制 · 数学 2026-05-12 Zhan-Dong Mei , Lan-Xi Tang

Limitations of the delayed feedback control and of its extended versions have been fully treated in the literature. The oscillating delayed feedback control appears as a promising scheme to overcome this problem. In this work, two methods…

动力系统 · 数学 2018-05-25 Verónica E. Pastor , Graciela González

This paper addresses the problem of optimally controlling nonlinear systems with norm-bounded disturbances and parametric uncertainties while robustly satisfying constraints. The proposed approach jointly optimizes a nominal nonlinear…

系统与控制 · 电气工程与系统科学 2023-09-14 Antoine P. Leeman , Jerome Sieber , Samir Bennani , Melanie N. Zeilinger

We consider output-feedback stabilization problems for a class of two-component linear parabolic systems with boundary actuation and measurement. The state-feedback control laws are obtained using backstepping method and require measurement…

偏微分方程分析 · 数学 2016-12-13 Agus Hasan

We study an axial dispersion tubular reactor model governed by a nonlinear parabolic equation with Robin-type boundary conditions and boundary feedback control. We derive sufficient conditions for the exponential stability of the…

偏微分方程分析 · 数学 2026-03-26 Yevgeniia Yevgenieva , Alexander Zuyev , Christophe Prieur , Peter Benner

In this paper, we study the event-triggered global robust practical output regulation problem for a class of nonlinear systems in output feedback form with any relative degree. Our approach consists of the following three steps. First, we…

最优化与控制 · 数学 2018-03-06 Wei Liu , Jie Huang

This paper considers a collection of networked nonlinear dynamical systems, and addresses the synthesis of feedback controllers that seek optimal operating points corresponding to the solution of network-wide constrained optimization…

最优化与控制 · 数学 2015-04-03 Emiliano Dall'Anese , Sairaj Dhople , Georgios B. Giannakis

The stabilization of nonlinear systems under zero-state-detectability assumption or its analogues is considered. The proposed supervisory control provides a finite time practical stabilization of output and it is based on uniting local and…

最优化与控制 · 数学 2013-04-16 Denis Efimov , Alexander L. Fradkov

Recent research has shown that supervised learning can be an effective tool for designing optimal feedback controllers for high-dimensional nonlinear dynamic systems. But the behavior of these neural network (NN) controllers is still not…

最优化与控制 · 数学 2022-10-10 Tenavi Nakamura-Zimmerer , Qi Gong , Wei Kang