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We propose a provably stabilizing and tractable approach for control of constrained linear systems under intermittent observations and unreliable transmissions of control commands. A smart sensor equipped with a Kalman filter is employed…

最优化与控制 · 数学 2020-04-14 Prabhat K. Mishra , Debasish Chatterjee , Daniel E. Quevedo

Understanding how time delays impact the stability of a delay differential equation is important for modeling many natural and technological systems that experience time delays. Here we introduce a new stability criterion for…

动力系统 · 数学 2025-08-25 Quinlan Leishman , Benjamin Webb

The stabilization of uncertain LTI/LPV time delay systems with time varying delays by state-feedback controllers is addressed. At the difference of other works in the literature, the proposed approach allows for the synthesis of resilient…

系统与控制 · 计算机科学 2012-04-06 Corentin Briat , Olivier Sename , Jean-François Lafay

This paper proposes a model predictive controller for discrete-time linear systems with additive, possibly unbounded, stochastic disturbances and subject to chance constraints. By computing a polytopic probabilistic positively invariant set…

最优化与控制 · 数学 2024-09-23 Kai Wang , Kiet Tuan Hoang , Sébastien Gros

We present a framework for learning of modeling uncertainties in Linear Time Invariant (LTI) systems. We propose a methodology to extend the dynamics of an LTI (without uncertainty) with an uncertainty model, based on measured data, to…

系统与控制 · 电气工程与系统科学 2023-11-01 Farhad Ghanipoor , Carlos Murguia , Peyman Mohajerin Esfahani , Nathan van de Wouw

We study a stabilization problem of linear uncertain systems with parametric uncertainties via feedback control over data-rate-constrained channels. The objective is to find the limitation on the amount of information that must be conveyed…

系统与控制 · 计算机科学 2014-05-26 Kunihisa Okano , Hideaki Ishii

With the objective of developing computational methods for stability analysis of switched systems, we consider the problem of finding the minimal lower bounds on average dwell-time that guarantee global asymptotic stability of the origin.…

最优化与控制 · 数学 2023-07-24 Sigurdur Hafstein , Aneel Tanwani

This paper examines the problem of stabilizing linear distributed delay systems with nonlinear distributed delay kernels and dissipativity constraints. Specifically, the nonlinear distributed kernel includes functions such as polynomials,…

系统与控制 · 电气工程与系统科学 2023-10-18 Qian Feng , Sing Kiong Nguang

This paper is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part…

系统与控制 · 计算机科学 2016-11-18 Junlin Xiong , James Lam , Zhan Shu , Xuerong Mao

Recently, sufficient conditions of stability or instability for time-delay systems have been proven to be necessary. In this way, a remarkable necessary and sufficient condition has then been developed by Gomez et al. It is presented as a…

最优化与控制 · 数学 2022-05-09 Mathieu Bajodek , Frédéric Gouaisbaut , Alexandre Seuret

We consider the stability analysis of a large class of linear 1-D PDEs with polynomial data. This class of PDEs contains, as examples, parabolic and hyperbolic PDEs, PDEs with boundary feedback and systems of in-domain/boundary coupled…

系统与控制 · 计算机科学 2017-09-19 Aditya Gahlawat , Giorgio Valmorbida

We derive a sufficient condition for stability in probability of an equilibrium of a randomly perturbed map in ${\mathbb R}^d$. This condition can be used to stabilize weakly unstable equilibria by random forcing. Analytical results on…

动力系统 · 数学 2017-05-16 Pawel Hitczenko , Georgi S. Medvedev

We consider discrete-time switching systems composed of a finite family of affine sub-dynamics. First, we recall existing results and present further analysis on the stability problem, the existence and characterization of compact…

系统与控制 · 电气工程与系统科学 2021-09-24 Matteo Della Rossa , Zheming Wang , Lucas N. Egidio , Raphaël M. Jungers

In this paper we present a controlled study on the linearized IRM framework (IRMv1) introduced in Arjovsky et al. (2020). We show that IRMv1 (and its variants) framework can be potentially unstable under small changes to the optimal…

机器学习 · 计算机科学 2021-06-08 Chunyang Xiao , Pranava Madhyastha

Autonomous systems with machine learning-based perception can exhibit unpredictable behaviors that are difficult to quantify, let alone verify. Such behaviors are convenient to capture in probabilistic models, but probabilistic model…

计算机科学中的逻辑 · 计算机科学 2022-03-17 Matthew Cleaveland , Ivan Ruchkin , Oleg Sokolsky , Insup Lee

This paper deals with the stability analysis problem of discrete-time switched linear systems with ranged dwell time. A novel concept called L-switching-cycle is proposed, which contains sequences of multiple activation cycles satisfying…

最优化与控制 · 数学 2021-06-01 Weiming Xiang

We study the recently introduced notion of output-input stability, which is a robust variant of the minimum-phase property for general smooth nonlinear control systems. The subject of this paper is developing the theory of output-input…

最优化与控制 · 数学 2007-05-23 Daniel Liberzon

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

To improve the predictive capacity of system models in the input-output sense, this paper presents a framework for model updating via learning of modeling uncertainties in locally (and thus also in globally) Lipschitz nonlinear systems.…

系统与控制 · 电气工程与系统科学 2024-06-11 Farhad Ghanipoor , Carlos Murguia , Peyman Mohajerin Esfahani , Nathan van de Wouw

A nonovershooting finite-time control design for linear multi-input system is proposed by upgrading a linear (asymptotic) nonovershooting stabilizer to a homogeneous one. Robustness of the safety and stability properties is analyzed using…

最优化与控制 · 数学 2023-05-17 Andrey Polyakov , Miroslav Krstic