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This work proposes a new procedure for the stabilization of time-delay systems using Static Output Feedback (SOF) control. A previous convex optimization approach to SOF for Ordinary Differential Equations (ODEs) is extended to time-delay…

最优化与控制 · 数学 2026-05-19 Danilo Braghini , Eduardo S. Tognetti , Matthew M. Peet

This paper is concerned with the output feedback boundary stabilization of general 1-D reaction diffusion PDEs in the presence of an arbitrarily large input delay. We consider the cases of Dirichlet/Neumann/Robin boundary conditions for the…

最优化与控制 · 数学 2022-07-13 Hugo Lhachemi , Christophe Prieur

We present a novel methodology for designing output-feedback backstepping boundary controllers for an unstable 1-D diffusion-reaction partial differential equation with spatially-varying reaction. Using "folding" transforms the parabolic…

最优化与控制 · 数学 2019-08-23 Stephen Chen , Rafael Vazquez , Miroslav Krstic

The purpose of this article is to introduce the original results which devoted with the nonlinear control system problems involves of nonlinear differential equations of fractional orders. Thus, this system is described with a mixed of…

最优化与控制 · 数学 2024-04-09 B. Hassoun , R. Al-Saphory , S. Hassan

This paper addresses the problem of input-to-state stabilization for a class of parabolic equations with time-varying coefficients, as well as Dirichlet and Robin boundary disturbances. By using time-invariant kernel functions, which can…

最优化与控制 · 数学 2024-06-18 Yongchun Bi , Jun Zheng , Guchuan Zhu

In this paper, we study the stabilization problem for a food extrusion process in the isothermal case. The model expresses the mass conservation in the extruder chamber and consists of a hyperbolic Partial Differential Equation (PDE) and a…

偏微分方程分析 · 数学 2015-02-03 Mamadou Diagne , Peipei Shang , Zhiqiang Wang

We propose and analyze a protocol for stabilizing a maximally entangled state of two noninteracting qubits using active state-dependent feedback from a continuous two-qubit half-parity measurement in coordination with a concurrent,…

This note studies the robust output feedback stabilization problem of a class of multi-input multi-output invertible nonlinear systems, for which an "ideal" state feedback based on feedback linearization can be designed under certain mild…

系统与控制 · 电气工程与系统科学 2021-01-07 Lei Wang , Christopher M. Kellett

Linear scalar differential equations with distributed delays appear in the study of the local stability of nonlinear differential equations with feedback, which are common in biology and physics. Negative feedback loops tend to promote…

动力系统 · 数学 2014-05-29 Samuel Bernard , Fabien Crauste

We develop a model-free framework for stabilizing quantum states using only empirical finite-difference evaluations of a measurement-derived Lyapunov observable. The controller requires no knowledge of the Hamiltonian, dissipative…

量子物理 · 物理学 2026-04-14 Robert Vrabel

We develop a predictor-feedback control design for a class of linear systems with state-dependent switching. The main ingredient of our design is a novel construction of an exact predictor state. Such a construction is possible as for a…

系统与控制 · 电气工程与系统科学 2026-03-23 Andreas Katsanikakis , Nikolaos Bekiaris-Liberis , Delphine Bresch-Pietri

It has been known in the robotics literature since about 1995 that, in polar coordinates, the nonholonomic unicycle is asymptotically stabilizable by smooth feedback, even globally. We introduce a modular design framework that selects the…

系统与控制 · 电气工程与系统科学 2026-01-09 Velimir Todorovski , Kwang Hak Kim , Alessandro Astolfi , Miroslav Krstic

Prediction-based transformation is applied to control-affine systems with distributed input delays. Transformed system state is calculated as a prediction of the system's future response to the past input with future input set to zero.…

最优化与控制 · 数学 2016-01-05 Anton Ponomarev

We complete the first step towards the resolution of several decades-old challenges in disturbance-robust adaptive control. For a scalar linear system with an unknown parameter for which no a priori bound is given, with a disturbance that…

最优化与控制 · 数学 2023-04-07 Iasson Karafyllis , Miroslav Krstic , Alexandros Aslanidis

The paper provides results for the stabilization of a spatially uniform equilibrium profile for a scalar conservation law that arises in the study of traffic dynamics under variable speed limit control. Two different control problems are…

最优化与控制 · 数学 2018-02-26 Iasson Karafyllis , Markos Papageorgiou

We develop an input delay-compensating feedback law for linear switched systems with time-dependent switching. Because the future values of the switching signal, which are needed for constructing an exact predictor-feedback law, may be…

系统与控制 · 电气工程与系统科学 2025-03-19 Andreas Katsanikakis , Nikolaos Bekiaris-Liberis , Delphine Bresch-Pietri

A boundary feedback stabilisation problem of non-uniform linear hyperbolic systems of balance laws with additive disturbance is discussed. A continuous and a corresponding discrete Lyapunov function is defined. Using an…

最优化与控制 · 数学 2020-06-09 Mapundi Kondwani Banda , Gediyon Weldegiyorgis

This paper is concerned with establishing global asymptotic stability results for a class of non-linear PDE which have some similarity to the PDE of the Lifschitz-Slyozov-Wagner model. The method of proof does not involve a Lyapounov…

偏微分方程分析 · 数学 2017-09-25 Joseph G. Conlon , Michael Dabkowski

We provide a solution to the heretofore open problem of stabilization of systems with arbitrarily long delays at the input and output of a nonlinear system using output feedback only. The solution is global, employs the predictor approach…

最优化与控制 · 数学 2013-08-15 Iasson Karafyllis , Miroslav Krstic

This paper proposes a stabilizing state-feedback control law for vector-valued state systems with a scalar control input, governed by a general class of integral difference equations that incorporate both pointwise and distributed input…

最优化与控制 · 数学 2026-05-27 Adam Braun , Jean Auriol , Lucas Brivadis