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A non-overshooting quasi-continuous sliding mode control with sub-optimal damping was recently introduced in Ruderman and Efimov (2025) for perturbed second-order systems. The present work proposes an essential modification of the nonlinear…

最优化与控制 · 数学 2025-12-08 Michael Ruderman , Denis Efimov

The stability problem of a class of nonlinear switched systems defined on compact sets with state-dependent switching is considered. Instead of the Caratheodory solutions, the general Filippov solutions are studied. This encapsulates…

最优化与控制 · 数学 2017-07-31 Mohamadreza Ahmadi , Hamed Mojallali , Rafael Wisniewski

The paper deals with output feedback stabilization of exponentially stable systems by an integral controller. We propose appropriate Lyapunov functionals to prove exponential stability of the closed-loop system. An example of parabolic PDE…

偏微分方程分析 · 数学 2019-01-09 A Terrand-Jeanne , Vincent Andrieu , Valérie Dos Santos Martins , C. -Z Xu

This paper proposes a framework for adaptively learning a feedback linearization-based tracking controller for an unknown system using discrete-time model-free policy-gradient parameter update rules. The primary advantage of the scheme over…

This paper addresses the problem of exponential and accelerated finite-time, as well as nearly fixed-time, stabilization of switched linear MIMO systems. The proposed approach relies on a generalized homogenization framework for switched…

系统与控制 · 电气工程与系统科学 2026-02-10 Moussa Labbadi , Andrey Polyakov , Denis Efimov

We study incremental stability and convergence of switched (bimodal) Filippov systems via contraction analysis. In particular, by using results on regularization of switched dynamical systems, we derive sufficient conditions for convergence…

系统与控制 · 计算机科学 2020-03-18 Mario di Bernardo , Davide Fiore , S. John Hogan

We demonstrate the extension of unpredictable motions in coupled autonomous systems with skew product structure in the case that generalized synchronization takes place. Sufficient conditions for the existence of unpredictable motions in…

混沌动力学 · 物理学 2022-02-08 Fatma Tokmak Fen , Mehmet Onur Fen , Marat Akhmet

Among the various critical systems that worth to be formally analyzed, a wide set consists of controllers for dynamical systems. Those programs typically execute an infinite loop in which simple com putations update internal states and…

最优化与控制 · 数学 2014-09-18 Assalé Adje , Pierre-Loïc Garoche

We propose a piecewise learning framework for controlling nonlinear systems with unknown dynamics. While model-based reinforcement learning techniques in terms of some basis functions are well known in the literature, when it comes to more…

最优化与控制 · 数学 2022-04-06 Milad Farsi , Yinan Li , Ye Yuan , Jun Liu

This paper introduces a novel closed-form strategy that dynamically modifies the reference of a pre-compensated nonlinear system to ensure the satisfaction of a set of convex constraints. The main idea consists of translating constraints in…

系统与控制 · 计算机科学 2016-11-17 Emanuele Garone , Marco M. Nicotra

This paper proposes an adaptive human pilot model that is able to mimic the crossover model in the presence of uncertainties. The proposed structure is based on the model reference adaptive control, and the adaptive laws are obtained using…

系统与控制 · 电气工程与系统科学 2020-07-21 Seyed Shahabaldin Tohidi , Yildiray Yildiz

This work is devoted to the construction of feedback laws which guarantee the robust global exponential stability of the uncongested equilibrium point for general discrete-time freeway models. The feedback construction is based on a control…

最优化与控制 · 数学 2015-03-10 Iasson Karafyllis , Maria Kontorinaki , Markos Papageorgiou

Fixed-time stable dynamical systems are capable of achieving exact convergence to an equilibrium point within a fixed time that is independent of the initial conditions of the system. This property makes them highly appealing for designing…

系统与控制 · 电气工程与系统科学 2025-10-01 Michael Tang , Miroslav Krstic , Jorge Poveda

The present work extends recent results by second author concerning sampled-data feedback stabilization for affine in the control of nonlinear systems with nonzero drift term, under the presence of a generalized control Lyapunov function…

最优化与控制 · 数学 2019-08-05 Katerina Chrysafi , John Tsinias

This paper establishes new sufficient conditions for Mittag-Leffler stability of Caputo fractional-order nonlinear systems with state-dependent delays. The central analytical tool is a class of Lyapunov-Krasovskii functionals that…

动力系统 · 数学 2026-02-10 Abdallah Alsammani , Gassan Farah

This note presents the design and analysis of an adaptive controller for a class of linear plants in the presence of output feedback. This controller makes use of a closed-loop reference model as an observer, and guarantees global stability…

系统与控制 · 计算机科学 2015-10-20 Travis E. Gibson , Zheng Qu , Anuradha M. Annaswamy , Eugene Lavretsky

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 provides a first example of constructing Lyapunov functions in a class of piecewise linear systems with limit cycles. The method of construction helps analyze and control complex oscillating systems through novel geometric means.…

混沌动力学 · 物理学 2013-07-01 Yian Ma , Ruoshi Yuan , Yang Li , Ping Ao , Bo Yuan

Hyperexponential stability is investigated for dynamical systems with the use of both, explicit and implicit, Lyapunov function methods. A nonlinear hyperexponential control is designed for stabilizing linear systems. The tuning procedure…

系统与控制 · 电气工程与系统科学 2022-07-19 Konstantin Zimenko , Denis Efimov , Andrey Polyakov

In this work, we propose a methodology for the expression of necessary and sufficient Lyapunov-like conditions for the existence of stabilizing feedback laws. The methodology is an extension of the well-known Control Lyapunov Function (CLF)…

最优化与控制 · 数学 2008-01-31 Iasson Karafyllis , Zhong-Ping Jiang