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Boundary feedback control design is studied for 1D hyperbolic systems with an in-domain disturbance and a boundary feedback controller under the effect of actuator saturation. Nonlinear semigroup theory is used to prove well-posedness of…

最优化与控制 · 数学 2022-05-18 Suha Shreim , Francesco Ferrante , Christophe Prieur

In this paper, we prove the exponential stabilization of solutions for complex Ginzburg-Landau equations using finite-parameter feedback control algorithms, which employ finitely many volume elements, Fourier modes or nodal observables…

最优化与控制 · 数学 2017-05-15 Jamila Kalantarova , Türker Özsarı

In this article, we detail the design of an output feedback stabilizing control law for an underactuated network of N subsystems of n + m heterodirectional linear first-order hyperbolic Partial Differential Equations interconnected through…

偏微分方程分析 · 数学 2024-09-17 Jean Auriol

This paper presents an anti-windup PI controller, using a saturating integrator, for a single-input single-output stable nonlinear plant, whose steady-state input-output map is increasing. We prove that, under reasonable assumptions, there…

最优化与控制 · 数学 2021-07-02 Pietro Lorenzetti , George Weiss

The present paper addresses the problem of existence of an (output) feedback law to the purposes of asymptotically steering to zero a given controlled variable, while keeping all state variables bounded, for any initial conditions in a…

最优化与控制 · 数学 2007-05-23 Lorenzo Marconi , Laurent Praly , Alberto Isidori

We demonstrate and contrast two approaches to the stabilization of qubit entanglement by feedback. Our demonstration is built on a feedback platform consisting of two superconducting qubits coupled to a cavity which are measured by a…

This survey paper deals with the stabilization of nonlinear systems by analyzing the controlling method in terms of state feedback and output feedback. A brief overview of some literature on how the feedback controller of some dynamic…

系统与控制 · 电气工程与系统科学 2022-01-03 Demelash Abiye Deguale

One approach to robust control for linear plants with structured uncertainty as well as for linear parameter-varying (LPV) plants (where the controller has on-line access to the varying plant parameters) is through…

最优化与控制 · 数学 2008-08-20 J. A. Ball , Q. Fang , G. J. Groenewald , S. ter Horst

In this paper, we study the stabilization problem of quantum spin-1/2 systems under continuous-time measurements. In the case without feedback, we show exponential stabilization around the excited and ground state by providing a lower bound…

量子物理 · 物理学 2019-02-12 Weichao Liang , Nina H. Amini , Paolo Mason

In this paper we present a general tool to handle the presence of zero dynamics which are asymptotically but not locally exponentially stable in problems of robust nonlinear stabilization by output feedback. We show how it is possible to…

最优化与控制 · 数学 2008-10-03 L. Marconi , L. Praly , A. Isidori

In this paper, we characterize the set of static-state feedbacks that stabilize a given continuous linear-time invariant system pair using dissipative Hamiltonian matrices. This characterization results in a parametrization of feedbacks in…

最优化与控制 · 数学 2019-07-17 Nicolas Gillis , Punit Sharma

We consider 2- or 3-dimensional incompressible Navier-Stokes equations defined on a bounded domain $\Omega$, with no-slip boundary conditions and subject to an external force, assumed to cause instability. We then seek to uniformly…

最优化与控制 · 数学 2022-02-10 Irena Lasiecka , Buddhika Priyasad , Roberto Triggiani

In this paper, we study the problem of certifying the stability of a closed loop system which receives feedback from an energy harvesting sensor. This is important, as energy harvesting sensors are recharged stochastically, and may only be…

最优化与控制 · 数学 2017-12-22 Nicholas J. Watkins , Konstantinos Gatsis , Cameron Nowzari , George J. Pappas

In this paper, we study the problem of stabilizing continuous-time switched linear systems with quantized output feedback. We assume that the observer and the control gain are given for each mode. Also, the plant mode is known to the…

系统与控制 · 计算机科学 2015-09-03 Masashi Wakaiki , Yutaka Yamamoto

This paper is concerned with the output feedback exponential stabilization for a flexible beam with tip mass. When there is no disturbance, it is shown that only one non-collocated measurement is enough to exponentially stabilize the…

最优化与控制 · 数学 2022-04-12 Zhan-Dong Mei

We construct a patchy feedback for a general control system on $\R^n$ which realizes practical stabilization to a target set $\Sigma$, when the dynamics is constrained to a given set of states $S$. The main result is that $S$--constrained…

最优化与控制 · 数学 2014-08-07 Fabio S. Priuli

Classical conditions for ensuring the robust stability of a linear system in feedback with a sector-bounded nonlinearity include small gain, circle, passivity, and conicity theorems. In this work, we present a similar stability condition,…

最优化与控制 · 数学 2019-09-18 Saman Cyrus , Laurent Lessard

In this paper, we give sufficient conditions under which linear abstract control systems for which the semigroup is analytic are stabilizable with a bounded feedback. We obtain various characterizations of that property, which extend some…

最优化与控制 · 数学 2025-10-29 Yaxing Ma , Emmanuel Trélat , Lijuan Wang , Huaiqiang Yu

This paper deals with the stabilization of a class of linear infinite-dimensional systems with unbounded control operators and subject to a boundary disturbance. We assume that there exists a linear feedback law that makes the origin of the…

偏微分方程分析 · 数学 2022-10-26 Ismaïla Balogoun , Swann Marx , Franck Plestan

The word stable is used to describe a situation when mathematical objects that almost satisfy an equation are close to objects satisfying it exactly. We study operator-algebraic forms of stability for unitary representations of groups and…

算子代数 · 数学 2025-09-22 Mikael de la Salle