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Related papers: Global Stabilization by Means of Discrete-Delay Ou…

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We present a delayed feedback control (DFC) mechanism for stabilizing cycles of one dimensional discrete time systems. In particular, we consider a delayed feedback control for stabilizing $T$-cycles of a differentiable function $f:…

Optimization and Control · Mathematics 2015-01-20 D. Dmitrishin , P. Hagelstein , A. Khamitova , A. Stokolos

This paper considers the problem of robust stability and stabilization for linear fractional-order system with nonlinear uncertain parameters, with fractional order 0<a<2. A dynamic output feedback controller, with predetermined order, for…

Optimization and Control · Mathematics 2021-06-25 Pouya Badri , Mahdi Sojoodi , Elyar Zavvari

Since response lags are essential in the feedback loops and are required by most physical systems, it is more appropriate to stabilize McKean-Vlasov stochastic differential equations (MV-SDEs) with common noise through the implementation of…

Probability · Mathematics 2024-06-21 Xing Chen , Xiaoyue Li , Chenggui Yuan

We provide explicit conditions for uniform stability, global asymptotic stability and uniform exponential stability for dynamic equations with a single delay and a nonnegative coefficient. Some examples on nonstandard time scales are also…

Dynamical Systems · Mathematics 2019-02-21 Elena Braverman , Basak Karpuz

We present a delay-compensating control method that transforms exponentially stabilizing controllers for an undelayed system into a sample-based predictive controller with numerical integration. Our method handles both first-order and…

Systems and Control · Electrical Eng. & Systems 2020-10-01 Xichen Shi , Michael O'Connell , Soon-Jo Chung

This paper develops a data-driven framework for stabilization of discrete-time infinite-dimensional systems. We investigate informativity for stabilization, defined as the existence of a feedback gain that stabilizes all systems compatible…

Optimization and Control · Mathematics 2025-11-21 Masashi Wakaiki

This paper concerns the small-time stabilization of some classes of mechanical systems which are not stabilizable by means of at least continuous state feedback laws. This is the case of nonholonomic mechanical systems, an example being the…

Optimization and Control · Mathematics 2019-05-28 Brigitte d'Andréa-Novel , Jean-Michel Coron , Wilfrid Perruquetti

This article is concerned with stability analysis and stabilization of randomly switched systems under a class of switching signals. The switching signal is modeled as a jump stochastic (not necessarily Markovian) process independent of the…

Optimization and Control · Mathematics 2011-10-04 Debasish Chatterjee , Daniel Liberzon

Stability of the zero solution plays an important role in the investigation of positive systems. In this note, we revisit the $\mu$-stability of positive nonlinear systems with unbounded time-varying delays. The system is modelled by…

Dynamical Systems · Mathematics 2015-05-29 xiwei Liu , Tianping Chen

Monotone systems comprise an important class of dynamical systems that are of interest both for their wide applicability and because of their interesting mathematical properties. It is known that under the property of quasimonotonicity…

Dynamical Systems · Mathematics 2015-05-20 Eoin Devane , Ioannis Lestas

We show that time-delayed feedback methods, which have successfully been used to control unstable periodic ortbits, provide a tool to stabilize unstable steady states. We present an analytical investigation of the feedback scheme using the…

Other Condensed Matter · Physics 2009-11-11 P. Hoevel , E. Schoell

This paper studies the emulation-based stabilization of nonlinear networked control systems with two time scales. We address the challenge of using a single communication channel for transmitting both fast and slow variables between the…

Optimization and Control · Mathematics 2025-02-27 Weixuan Wang , Alejandro I. Maass , Dragan Nešić , Ying Tan , Romain Postoyan , W. P. M. H. Heemels

A dynamic backstepping method is proposed to design controllers for nonlinear systems in the pure-feedback form, for which the traditional backstepping method suffers from solving the implicit nonlinear algebraic equation. The idea of this…

Systems and Control · Computer Science 2017-06-28 Sheng Zhang , Wei-qi Qian

This paper introduces a novel stabilization control strategy for linear time-invariant systems affected by known time-varying measurement delays and matched unknown nonlinear disturbances, which may encompass actuator faults. It is…

Optimization and Control · Mathematics 2025-07-30 Hardy Pinto , Tiago Roux Oliveira , Liu Hsu

This paper proposes a unified approach for studying global exponential stability of a general class of switched systems described by time-varying nonlinear functional differential equations. Some new delay-independent criteria of global…

Dynamical Systems · Mathematics 2021-09-16 Nguyen Khoa Son , Le Van Ngoc

In real-world control applications, actuator constraints and output constraints (specifically in tracking problems) are inherent and critical to ensuring safe and reliable operation. However, generally, control strategies often neglect…

Systems and Control · Electrical Eng. & Systems 2025-04-17 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha

In this article, we focus on the global stabilizability problem for a class of second order uncertain stochastic control systems, where both the drift term and the diffusion term are nonlinear functions of the state variables and the…

Systems and Control · Electrical Eng. & Systems 2022-05-11 Cheng Zhao , Yanbin Zhang

This paper is devoted to the stability analysis of an n species Lotka-Volterra system with discrete and distributed delays. Stochastic perturbations to the parameters of the model are allowed. Sufficient conditions for the almost sure…

Classical Analysis and ODEs · Mathematics 2020-01-30 Krisztina Kiss , Eva Gyurkovics

The goal of this work is to compute a boundary control of reaction-diffusion partial differential equation. The boundary control is subject to a constant delay, whereas the equation may be unstable without any control. For this system…

Analysis of PDEs · Mathematics 2017-09-11 Christophe Prieur , Emmanuel Trélat

In this paper, we study the event-triggered global robust practical output regulation problem for a class of nonlinear systems in output feedback form with any relative degree. Our approach consists of the following three steps. First, we…

Optimization and Control · Mathematics 2018-03-06 Wei Liu , Jie Huang
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