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Related papers: Robust Finite-time Stabilization of Linear Systems…

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We study the problem of learning to stabilize (LTS) a linear time-invariant (LTI) system. Policy gradient (PG) methods for control assume access to an initial stabilizing policy. However, designing such a policy for an unknown system is one…

Machine Learning · Computer Science 2025-05-07 Leonardo F. Toso , Lintao Ye , James Anderson

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…

Optimization and Control · Mathematics 2019-06-05 Elyar Zavary , Mahdi Sojoodi

This paper studies the Lagrange stabilization of a class of nonlinear systems whose linear part has a singular system matrix and which have multiple periodic (in state) nonlinearities. Both state and output feedback Lagrange stabilization…

Systems and Control · Computer Science 2013-06-27 Hua Ouyang , Ian R. Petersen , Valery Ugrinovskii

The paper deals with the stability analysis of time-delay reset control systems, for which the resetting law is assumed to satisfy a time-dependent condition. A stability analysis of the closed-loop system is performed based on an…

Systems and Control · Computer Science 2016-03-09 M. A. Davó , F. Gouaisbaut , A. Baños , S. Tarbouriech , A. Seuret

We study the exponential stabilization problem for a nonlinear Korteweg-de Vries equa- tion on bounded interval in cases where the linearized control system is not controllable. The system has Dirichlet boundary conditions at the end-points…

Analysis of PDEs · Mathematics 2018-02-28 Jean-Michel Coron , Ivonne Rivas , Shengquan Xiang

We introduce system norms which assess transient behavior of stable Linear Time-Invariant (LTI) systems. This allows us to address undesired responses to initial conditions, finite resource consumption signals, or persistent perturbations.…

Optimization and Control · Mathematics 2025-09-23 Pierre Apkarian , Dominikus Noll

This paper proposes a frequency-wise approach for stability analysis of multi-input, multi-output (MIMO) Linear Time-Invariant (LTI) feedback systems through Scaled Relative Graphs (SRGs). Unlike traditional methods, such as the Generalized…

Systems and Control · Electrical Eng. & Systems 2026-01-26 Eder Baron-Prada , Alberto Padoan , Adolfo Anta , Florian Dörfler

This paper is devoted to the stabilization of a linear control system $y' = A y + B u$ and its suitable non-linear variants where $(A, \cD(A))$ is an infinitesimal generator of a strongly continuous {\it group} in a Hilbert space $\mH$, and…

Optimization and Control · Mathematics 2024-09-02 Hoai-Minh Nguyen

Robust global stabilization of nonlinear systems by observer-based feedback controllers is a challenging task. This article investigates the problem of designing observer-based stabilizing controllers for incrementally quadratic nonlinear…

Optimization and Control · Mathematics 2020-07-17 Xiangru Xu , Behcet Acikmese , Martin J. Corless

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…

Systems and Control · Computer Science 2015-09-07 Masashi Wakaiki , Yutaka Yamamoto

We study the self-triggered stabilization of discrete-time linear systems with quantized state measurements. In the networked control system we consider, sensors may be spatially distributed and be connected to a self-triggering mechanism…

Optimization and Control · Mathematics 2022-04-08 Masashi Wakaiki

This paper focuses on the stabilization and regulation of linear systems affected by quantization in state-transition data and actuated input. The observed data are composed of tuples of current state, input, and the next state's interval…

Optimization and Control · Mathematics 2023-09-26 Jared Miller , Jian Zheng , Mario Sznaier , Chris Hixenbaugh

We consider the problem of stabilization of a linear system, under state and control constraints, and subject to bounded disturbances and unknown parameters in the state matrix. First, using a simple least square solution and available…

Systems and Control · Electrical Eng. & Systems 2020-07-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

This paper presents and implements an iterative feedback design algorithm for stabilisation of discrete-time switched systems under arbitrary switching regimes. The algorithm seeks state feedback gains so that the closed-loop switching…

Systems and Control · Computer Science 2010-09-13 Hernan Haimovich , Julio H. Braslavsky

Predictor-based stabilization results are provided for nonlinear systems with input delays and a compact absorbing set. The control scheme consists of an inter-sample predictor, a global observer, an approximate predictor, and a nominal…

Optimization and Control · Mathematics 2013-06-17 Iasson Karafyllis , Miroslav Krstic , Tarek Ahmed-Ali , Francoise Lamnabhi-Lagarrigue

Much recent progress has been achieved for stabilization of linear and nonlinear systems with input delays that are long and dependent on either time or the plant state---provided the dependence is known. In this paper we consider the delay…

Optimization and Control · Mathematics 2012-09-11 Nikolaos Bekiaris-Liberis , Miroslav Krstic

We consider a continuous time linear multi inventory system with unknown demands bounded within ellipsoids and controls bounded within ellipsoids or polytopes. We address the problem of "-stabilizing the inventory since this implies some…

Optimization and Control · Mathematics 2007-10-26 D. Bauso , L. Giarré , R. Pesenti

Linear time-translation-invariant (LTI) models offer simple, yet powerful, abstractions of complex classical dynamical systems. Quantum versions of such models have so far relied on assumptions of Markovianity or an internal state-space…

Quantum Physics · Physics 2024-10-16 Jacques Ding , Hudson A. Loughlin , Vivishek Sudhir

This paper addresses the following question: "Suppose that a state-feedback controller stabilizes an infinite-dimensional linear continuous-time system. If we choose the parameters of an event/self-triggering mechanism appropriately, is the…

Optimization and Control · Mathematics 2022-07-05 Masashi Wakaiki , Hideki Sano

This note proposes a data-driven output-feedback stabilizing policy iteration for unknown linear discrete-time systems with unmeasurable states. Existing policy iteration methods for optimal control must start from a stabilizing control…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Dongdong Li , Jiuxiang Dong
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