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This work is concerned with the spectral analysis of a piezoelectric energy harvesting model based on a coupled bending-torsion beam. After building the problem's operator setting and showing that the governing operator is nonselfadjoint…

泛函分析 · 数学 2024-11-28 Chris Vales

In this paper, we consider a dissipative system of one-dimensional piezoelectric beam with magnetic effect and a tip load at the free end of the beam, which is modeled as a special form of double boundary dissipation. Our main aim is to…

偏微分方程分析 · 数学 2021-09-21 Yanning An , Wenjun Liu , Aowen Kong

In this paper, we first consider the well-posedness and asymptotic behavior of a one-dimensional piezoelectric beam system with control boundary conditions of fractional derivative type, which represent magnetic effects on the system. By…

偏微分方程分析 · 数学 2022-08-23 Yanning An , Wenjun Liu , Aowen Kong

Classical discrete-time adaptive controllers provide asymptotic stabilization and tracking; neither exponential stabilization nor a bounded noise gain is typically proven. In recent work it has been shown, in both the pole placement…

最优化与控制 · 数学 2019-02-26 Daniel E Miller , Mohamad T. Shahab

This paper proposes a composite learning backstepping control (CLBC) strategy based on modular backstepping and high-order tuners to achieve closed-loop exponential stability without high-gain feedback and PE. A novel composite learning…

系统与控制 · 电气工程与系统科学 2026-04-20 Tian Shi , Shihua Li , Changyun Wen , Yongping Pan

Model Predictive Control (MPC) is often tuned by trial and error. When a baseline linear controller exists that is already well tuned in the absence of constraints and MPC is introduced to enforce them, one would like to avoid altering the…

系统与控制 · 电气工程与系统科学 2021-11-01 Mario Zanon , Alberto Bemporad

We introduce a finite dimensional version of backstepping controller design for stabilizing solutions of PDEs from boundary. Our controller uses only a finite number of Fourier modes of the state of solution, as opposed to the classical…

最优化与控制 · 数学 2024-12-30 Varga Kalantarov , Türker Özsarı , Kemal Cem Yılmaz

In this paper we first study the fixed-time stabilizability of discrete-time switched linear control systems. Using a geometric approach, we derive conditions under which such systems can be stabilized within a prescribed number of steps,…

最优化与控制 · 数学 2026-04-30 Picchiotti Flavio , Thiago Alves Lima , Girard Antoine

We continue our study of the problem of mixing for a class of PDEs with very degenerate noise. As we established earlier, the uniqueness of stationary measure and its exponential stability in the dual-Lipschitz metric holds under the…

偏微分方程分析 · 数学 2019-02-04 Sergei Kuksin , Vahagn Nersesyan , Armen Shirikyan

For vibrating systems, a delay in the application of a feedback control can destroy the stabilizing effect of the control. In this paper we consider a vibrating string that is fixed at one end and stabilized with a boundary feedback with…

最优化与控制 · 数学 2010-06-14 Martin Gugat , Marius Tucsnak

This paper presents a mechanically bistable mechanism of the compressed pre-curved beam. A governing equation is proposed which can be used to predict and explain the bistability of the compressed pre-curved beam. FE simulations and…

应用物理 · 物理学 2022-11-02 Fan Liu , Zian Jia , Xihang Jiang , Lifeng Wang

Boundary feedback stabilisation of linear port-Hamiltonian systems on an interval is considered. Generation and stability results already known for linear feedback are extended to nonlinear dissipative feedback, both to static feedback…

偏微分方程分析 · 数学 2019-05-30 Björn Augner

This paper addresses the boundary stabilization of a flexible wing model, both in bending and twisting displacements, under unsteady aerodynamic loads, and in presence of a store. The wing dynamics is captured by a distributed parameter…

最优化与控制 · 数学 2018-08-29 Hugo Lhachemi , David Saussié , Guchuan Zhu

We investigate a control technique for spatially extended systems combining spatial filtering with a previously studied form of time-delay feedback. The scheme is naturally suited to real-time control of optical systems. We apply the…

We experimentally demonstrate stable and user-adjustable single-photon interference in a 1 km long fiber- optical Mach-Zehnder interferometer, using an active phase control system with the feedback provided by a classical laser. We are able…

量子物理 · 物理学 2011-05-06 G. B. Xavier , J. P. von der Weid

The parameter convergence relies on a stringent persistent excitation (PE) condition in adaptive control. Several works have proposed a memory term in the last decade to translate the PE condition to a feasible finite excitation (FE)…

系统与控制 · 电气工程与系统科学 2025-06-26 Manish Patel , Arnab Maity

This paper addresses the analysis of a boundary feedback system involving a non-homogeneous Euler-Bernoulli beam governed by the equation $m(x)u_{tt}+\mu(x)u_{t}$$+\left(r(x)u_{xx}\right)_{xx}=0$, subject to the initial $u(x,0)=u_0(x)$,…

最优化与控制 · 数学 2023-07-06 Alemdar Hasanov

This paper considers the backstepping state feedback control of coupled linear parabolic PDEs with spatially varying coefficients and bilateral actuation. By making use of the folding technique, a system representation with unilateral…

最优化与控制 · 数学 2021-04-13 Simon Kerschbaum , Joachim Deutscher

This paper presents a new passivity property for distributed piezoelectric devices with integrable port-variables. We present two new control methodologies by exploiting the integrability property of the port-variables. The derived…

系统与控制 · 电气工程与系统科学 2019-07-05 Krishna Chaitanya Kosaraju , Matthijs C. de Jong , Jacquelien M. A. Scherpen

This paper studies quantized control for discrete-time piecewise affine systems. For given stabilizing feedback controllers, we propose an encoding strategy for local stability. If the quantized state is near the boundaries of quantization…

系统与控制 · 计算机科学 2015-09-07 Masashi Wakaiki , Yutaka Yamamoto