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In a pedagogical but exhaustive manner, this survey reviews the main results on input-to-state stability (ISS) for infinite-dimensional systems. This property allows estimating the impact of inputs and initial conditions on both the…

最优化与控制 · 数学 2020-03-09 Andrii Mironchenko , Christophe Prieur

This paper is concerned with stability analysis of nonlinear time-varying systems by using Lyapunov function based approach. The classical Lyapunov stability theorems are generalized in the sense that the time-derivative of the Lyapunov…

动力系统 · 数学 2017-08-18 Bin Zhou

In this paper, we consider the Kirchhoff plate equation with delay terms on the boundary control are added (see system \eqref{p5-2.1} below). we give some instability examples of system \eqref{p5-2.1} for some choices of delays. Finally, we…

偏微分方程分析 · 数学 2022-11-21 Mohammad Akil , Haidar Badawi , Mohamed Balegh , Zayd Hajjej

Stability enforcement remains a challenge in data-driven control paradigms, where no parametrised model of the system is available. For instance, the system's instabilities can be estimated in order to enforce a closed-loop stability…

系统与控制 · 电气工程与系统科学 2020-12-14 Basile Bouteau , Pauline Kergus , Pierre Vuillemin

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…

最优化与控制 · 数学 2011-10-04 Debasish Chatterjee , Daniel Liberzon

We consider the continuous-time setting of linear time-invariant (LTI) systems in feedback with multiplicative stochastic uncertainties. The objective of the paper is to characterize the conditions of Mean-Square Stability (MSS) using a…

系统与控制 · 计算机科学 2018-06-26 Maurice Filo , Bassam Bamieh

In this study, we present a novel sliding mode safety-critical controller designed to address both stability and safety concerns in a class of nonlinear uncertain systems. The controller features two feedback loops: an inner loop designed…

系统与控制 · 电气工程与系统科学 2024-06-10 Yazdan Batmani , Mohammadreza Davoodi

In this paper, the notion of robust strict QSR-dissipativity is applied to solve the static output feedback control problem for a class of continuous-time nonlinear rational systems subject to input saturation and bounded parametric…

We consider the problem of asymptotic convergence to invariant sets in interconnected nonlinear dynamic systems. Standard approaches often require that the invariant sets be uniformly attracting. e.g. stable in the Lyapunov sense. This,…

动力系统 · 数学 2007-05-23 Ivan Tyukin , Erik Steur , Henk Nijmeijer , Cees van Leeuwen

This paper deals with input/output-to-state stability (IOSS) of switched nonlinear systems whose switching signals obey pre-specified restrictions on admissible switches between the subsystems and admissible dwell times on the subsystems.…

系统与控制 · 电气工程与系统科学 2024-04-04 Atreyee Kundu

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…

系统与控制 · 电气工程与系统科学 2025-04-17 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha

The objective is to design output feedback event-triggered controllers to stabilize a class of nonlinear systems. One of the main difficulties of the problem is to ensure the existence of a minimum amount of time between two consecutive…

系统与控制 · 计算机科学 2014-08-26 Mahmoud Abdelrahim , Romain Postoyan , Jamal Daafouz , Dragan Nešić

In this paper, we provide a theoretical analysis of closed-loop properties of a simple data-driven model predictive control (MPC) scheme. The formulation does not involve any terminal ingredients, thus allowing for a simple implementation…

最优化与控制 · 数学 2024-12-04 Joscha Bongard , Julian Berberich , Johannes Köhler , Frank Allgöwer

We prove the following converse of the passivity theorem. Consider a causal system given by a sum of a linear time-invariant and a passive linear time-varying input-output map. Then, in order to guarantee stability (in the sense of finite…

最优化与控制 · 数学 2018-09-05 Sei Zhen Khong , Arjan van der Schaft

As bulk synchronous generators in the power grid are replaced by distributed generation interfaced through power electronics, inertia is removed from the system, prompting concerns over grid stability. Different metrics are available for…

最优化与控制 · 数学 2017-03-09 Mohammad Pirani , John W. Simpson-Porco , Baris Fidan

Copositive linear Lyapunov functions are used along with dissipativity theory for stability analysis and control of uncertain linear positive systems. Unlike usual results on linear systems, linear supply-rates are employed here for…

系统与控制 · 计算机科学 2012-06-05 Corentin Briat

Typically, it is desirable to design a control system that is not only robustly stable in the presence of parametric uncertainties but also guarantees an adequate level of system performance. However, most of the existing methods need to…

最优化与控制 · 数学 2020-08-25 Jun Ma , Haiyue Zhu , Masayoshi Tomizuka , Tong Heng Lee

Real-world control applications in complex and uncertain environments require adaptability to handle model uncertainties and robustness against disturbances. This paper presents an online, output-feedback, critic-only, model-based…

系统与控制 · 电气工程与系统科学 2023-04-04 Tochukwu Elijah Ogri , S. M. Nahid Mahmud , Zachary I. Bell , Rushikesh Kamalapurkar

Given the significance of physical measures in understanding the complexity of dynamical systems as well as the noisy nature of real-world systems, investigating the stability of physical measures under noise perturbations is undoubtedly a…

动力系统 · 数学 2025-06-24 Weiwei Qi , Zhongwei Shen , Yingfei Yi

This paper presents a synchronization criterion for networks of infinite-dimensional linear systems, extending a previous result for finite-dimensional systems. Our result, established in the general framework of input-output relations,…

最优化与控制 · 数学 2024-04-22 Tian Xia , Luca Scardovi