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相关论文: Semiglobal exponential stabilization of nonautonom…

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This paper is devoted to the stabilization problem for nonlinear driftless control systems by means of a time-varying feedback control. It is assumed that the vector fields of the system together with their first order Lie brackets span the…

最优化与控制 · 数学 2019-04-16 Alexander Zuyev

In this paper, we directly design a state feedback controller that stabilizes a class of uncertain nonlinear systems solely based on input-state data collected from a finite-length experiment. Necessary and sufficient conditions are derived…

系统与控制 · 电气工程与系统科学 2021-03-30 Alessandro Luppi , Claudio De Persis , Pietro Tesi

In this paper, we address the problem of closed-loop control of nonlinear dynamical systems subjected to probabilistic uncertainties. More precisely, we design time-varying polynomial feedback controllers to follow the given nominal…

最优化与控制 · 数学 2019-12-10 Ashkan Jasour , Brian Williams

In the present work, sufficient conditions for global stabilization of nonlinear uncertain systems by means of discrete-delay static output feedback are presented. Illustrating examples show the efficiency of the proposed control strategy.

最优化与控制 · 数学 2008-02-29 Iasson Karafyllis

In this article we prove semiglobal stabilization and exact controllability results for nonlinear plate equations with hinged boundary conditions and analytic nonlinearity. These results hold when the damping or control is localized in a…

偏微分方程分析 · 数学 2025-11-24 Cristóbal Loyola

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

We address the problem of dynamic output feedback stabilization at an unobservable target point. The challenge lies in according the antagonistic nature of the objective and the properties of the system: the system tends to be less…

最优化与控制 · 数学 2022-02-02 Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

In this paper, we study the output feedback stabilization for a scalar conservation law with a nonlocal velocity, that models a highly re-entrant manufacturing system as encountered in semi-conductor production. By spectral analysis, we…

最优化与控制 · 数学 2015-03-11 Jean-Michel Coron , Zhiqiang Wang

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

These lectures demonstrate the development of a PID control framework for mechanical systems. Based on the observation that mechanical systems are essentially double integrator systems, we generalize the linear PID controller to mechanical…

最优化与控制 · 数学 2016-10-17 D. H. S. Maithripala , T. W. U. Madhushani , J. M. Berg

The stabilizability of a general class of linear parabolic equations with a memory term, is achieve by explicit output feedback. The control input is given as a function of a state-estimate provided by an exponential dynamic Luenberger…

最优化与控制 · 数学 2025-04-30 Arbaz Khan , Sumit Mahajan , Sérgio S. Rodrigues

In this work, we present the first stability results for approximate predictors in multi-input non-linear systems with distinct actuation delays. We show that if the predictor approximation satisfies a uniform (in time) error bound,…

系统与控制 · 电气工程与系统科学 2025-09-23 Filip Bajraktari , Luke Bhan , Miroslav Krstic , Yuanyuan Shi

Falling liquid films are complex physical processes modelled by infinite-dimensional dynamical systems. The interfacial behaviour is characterised by the Reynolds number, a nondimensional parameter, and above a critical value the uniform…

最优化与控制 · 数学 2025-06-23 Oscar Holroyd , Radu Cimpeanu , Susana N. Gomes

We introduce the concept of a control contraction metric, extending contraction analysis to constructive nonlinear control design. We derive sufficient conditions for exponential stabilizability of all trajectories of a nonlinear control…

系统与控制 · 计算机科学 2017-02-09 Ian R. Manchester , Jean-Jacques E. Slotine

We introduce two new tools that can be useful in nonlinear observer and output feedback design. The first one is a simple extension of the notion of homogeneous approximation to make it valid both at the origin and at infinity (homogeneity…

最优化与控制 · 数学 2009-03-03 Vincent Andrieu , Laurent Praly , Alessandro Astolfi

We design observer-based controllers to stabilise abstract linear boundary control systems on Hilbert spaces. Our main results introduce conditions for exponential, strong, and polynomial stability, and establish external well-posedness of…

最优化与控制 · 数学 2026-05-28 Mohamed Fkirine , Lassi Paunonen

We prove global stabilization of the marine riser models using a feedback controller that depend on finitely many finite-volume elements and finitely many nodal observables. Our approach is based on a feedback control design for dissipative…

最优化与控制 · 数学 2026-03-03 V. K. Kalantarov , A. A. Namazov , E. S. Titi

We will show that there is a universal connection between the achievable closed-loop dynamics and the corresponding feedback controller that produces it. This connection shows promise to lead to new methods for robust nonlinear control in…

系统与控制 · 电气工程与系统科学 2020-04-20 Dimitar Ho

This paper is concerned with the data-driven stabilization of unknown boundary controlled semilinear parabolic systems. The nonlinear dynamics of the system are lifted using a finite number of eigenfunctionals of the Koopman operator…

系统与控制 · 电气工程与系统科学 2025-04-17 Joachim Deutscher , Tarik Enderes

Many physical systems are modeled by nonlinear parabolic differential equations, such as the Kuramoto-Sivashinsky (KS) equation. In this paper, the existence of a concurrent optimal controller and actuator design is established for…

最优化与控制 · 数学 2019-10-09 M. Sajjad Edalatzadeh , Kirsten A. Morris