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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

For linear control systems, the usual state feedback stabilizability has two components: one is a continuous observation mode (i.e., to observe solutions continuously in time), and the other is a class of feedback laws (which is usually the…

最优化与控制 · 数学 2022-08-29 Hanbing Liu , Gengsheng Wang , Huaiqiang Yu

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 consider nonlinear control systems of the so-called generalized triangular form (GTF) with time-varying and periodic dynamics which linearly depends on some external disturbances. Our purpose is to construct a feedback controller which…

动力系统 · 数学 2010-08-30 Sergey Dashkovskiy , Svyatoslav S. Pavlichkov

We obviate the use of observers for the purpose of output feedback tracking control of Lagrangian systems and solve some long-standing yet well-documented open problems. As often implemented in control practice, we replace unavailable…

最优化与控制 · 数学 2013-07-18 Antonio Loria

A novel adaptive control approach is proposed to solve the globally asymptotic state stabilization problem for uncertain pure-feedback nonlinear systems which can be transformed into the pseudo-affine form. The pseudo-affine pure-feedback…

系统与控制 · 计算机科学 2016-09-29 Mingzhe Hou , Zongquan Deng , Guangren Duan

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

This paper investigates the stabilization of a coupled system comprising a parabolic PDE and an elliptic PDE with nonlinear terms. A rigorous backstepping design provides an explicit boundary control law and exponentially convergent…

偏微分方程分析 · 数学 2025-07-18 Kamal Fenza , Moussa Labbadi , Mohamed Ouzahra

In this paper we explore the stabilization of closed invariant sets for passive systems, and present conditions under which a passivity-based feedback asymptotically stabilizes the goal set. Our results rely on novel reduction principles…

最优化与控制 · 数学 2019-04-16 Mohamed I. El-Hawwary , Manfredi Maggiore

We present a design framework to induce stable oscillations through mixed feedback control. We provide conditions on the feedback gain and on the balance between positive and negative feedback contributions to guarantee robust oscillations.…

系统与控制 · 电气工程与系统科学 2023-05-09 Weiming Che , Fulvio Forni

A basic result in synchronization of linear systems via output coupling is presented. For identical discrete-time linear systems that are detectable from their outputs and neutrally stable, it is shown that a linear output feedback law…

动力系统 · 数学 2008-01-21 S. Emre Tuna

In this paper, we deal with the problem of synthesizing static output feedback controllers for stabilizing polynomial systems. Our approach jointly synthesizes a Lyapunov function and a static output feedback controller that stabilizes the…

最优化与控制 · 数学 2015-01-20 Mohamed Amin Ben Sassi , Sriram Sankaranarayanan

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

This paper investigates the robust stabilisation of a class of fractional-order non-linear systems via fixed-order dynamic output feedback controller in terms of linear matrix inequalities (LMIs). The systematic stabilisation algorithm…

最优化与控制 · 数学 2019-06-05 Elyar Zavary , Mahdi Sojoodi

This paper studies the problem of designing sampled-data observers and observer-based, sampled-data, output feedback stabilizers for systems with both discrete and distributed, state and output time-delays. The obtained results can be…

最优化与控制 · 数学 2019-07-17 Tarek Ahmed-Ali , Iasson Karafyllis , Fouad Giri

Synchronization of coupled continuous-time linear systems is studied in a general setting. For identical neutrally-stable linear systems that are detectable from their outputs, it is shown that a linear output feedback law exists under…

最优化与控制 · 数学 2008-01-22 S. Emre Tuna

In this paper, we present output feedback boundary stabilization for a class of semilinear parabolic PDEs with a boundary measurement and an actuation located at the same place. The method uses backstepping transformations, where the state…

偏微分方程分析 · 数学 2016-12-13 Agus Hasan

This paper investigates the robust asymptotic stabilization of a linear time-invariant (LTI) system by a static feedback with a static state quantization. It is shown that the controllable LTI system can be stabilized to zero in a finite…

最优化与控制 · 数学 2024-03-27 Yu Zhou , Andrey Polyakov , Gang Zheng

Sufficient conditions are established for sampled-data feedback global asymptotic stabilization for nonlinear autonomous systems. One of our main results is an extension of the well known Artstein-Sontag theorem on feedback stabilization…

最优化与控制 · 数学 2012-07-05 J. Tsinias

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