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Persistent homology was shown by Carlsson and Zomorodian to be homology of graded chain complexes with coefficients in the graded ring $\kk[t]$. As such, the behavior of persistence modules -- graded modules over $\kk[t]$ is an important…

计算几何 · 计算机科学 2013-02-18 Primoz Skraba , Mikael Vejdemo-Johansson

Repair mechanisms are important within resilient systems to maintain the system in an operational state after an error occurred. Usually, constraints on the repair mechanisms are imposed, e.g., concerning the time or resources required…

系统与控制 · 计算机科学 2017-07-12 Christel Baier , Clemens Dubslaff , Ľuboš Korenčiak , Antonín Kučera Vojtěch Řehák

Adaptive control can be applied to robotic systems with parameter uncertainties, but improving its performance is usually difficult, especially under discontinuous friction. Inspired by the human motor learning control mechanism, an…

机器人学 · 计算机科学 2024-01-22 Yongping Pan , Kai Guo , Tairen Sun , Mohamed Darouach

We study the problem of imitating an expert demonstrator in a discrete-time, continuous state-and-action control system. We show that, even if the dynamics satisfy a control-theoretic property called exponential stability (i.e. the effects…

机器学习 · 计算机科学 2025-07-29 Max Simchowitz , Daniel Pfrommer , Ali Jadbabaie

This paper addresses the problem of longitudinal platooning control of homogeneous vehicles subject to external disturbances, such as wind gusts, road slopes, and parametric uncertainties. Our control objective is to maintain the relative…

系统与控制 · 电气工程与系统科学 2026-02-05 Emerson A. da Silva , Leonardo A. Mozelli , Armando A. Neto , Fernando O. Souza

Just as an explicit parameterisation of system dynamics by state, i.e., a choice of coordinates, can impede the identification of general structure, so it is too with an explicit parameterisation of system dynamics by control. However, such…

最优化与控制 · 数学 2014-06-16 Saber Jafarpour , Andrew D. Lewis

We consider a class of stochastic impulse control problems of general stochastic processes i.e. not necessarily Markovian. Under fairly general conditions we establish existence of an optimal impulse control. We also prove existence of…

概率论 · 数学 2008-06-18 Boualem Djehiche , Said Hamadene , Ibtissam Hdhiri

Episodic control has been proposed as a third approach to reinforcement learning, besides model-free and model-based control, by analogy with the three types of human memory. i.e. episodic, procedural and semantic memory. But the…

人工智能 · 计算机科学 2018-08-13 Johanni Brea

Consistency models, which were proposed to mitigate the high computational overhead during the sampling phase of diffusion models, facilitate single-step sampling while attaining state-of-the-art empirical performance. When integrated into…

机器学习 · 统计学 2024-02-13 Gen Li , Zhihan Huang , Yuting Wei

The paper proposes an algorithm for a discretization (sampled-time implementation) of a homogeneous control preserving the finite-time and nearly fixed-time stability property of the original (sampling-free) system. The sampling period is…

系统与控制 · 电气工程与系统科学 2022-07-08 Andrey Polyakov , Denis Efimov , Xubin Ping

In this discussion paper, we survey recent research surrounding robustness of machine learning models. As learning algorithms become increasingly more popular in data-driven control systems, their robustness to data uncertainty must be…

机器学习 · 计算机科学 2022-09-28 Brendon G. Anderson , Tanmay Gautam , Somayeh Sojoudi

It is argued that systems whose elements are renewed according to an extremal criterion can generally be expected to exhibit long-term memory. This is verified for the minimal extremally driven model, which is first defined and then solved…

统计力学 · 物理学 2009-10-31 D. A. Head

A Learning Model Predictive Controller (LMPC) for linear system in presented. The proposed controller is an extension of the LMPC [1] and it aims to decrease the computational burden. The control scheme is reference-free and is able to…

最优化与控制 · 数学 2019-10-31 Ugo Rosolia , Francesco Borrelli

We propose a novel and fully data driven control scheme which relies on machine learning (ML). Exploiting recently developed ML-based prediction capabilities of complex systems, we demonstrate that nonlinear systems can be forced to stay in…

机器学习 · 计算机科学 2021-03-02 Alexander Haluszczynski , Christoph Räth

A simple algorithm is described to target any desired operation point for simple one-dimensional and two-dimensional dynamical systems. What makes the algorithm unique is the fact that it targets any desired point, not merely a…

混沌动力学 · 物理学 2007-05-23 Girish Nathan

We present a control strategy that applies inverse dynamics to a learned acceleration error model for accurate multirotor control input generation. This allows us to retain accurate trajectory and control input generation despite the…

机器人学 · 计算机科学 2020-11-03 Alexander Spitzer , Nathan Michael

This paper presents a novel distributed algorithm for tracking a maneuvering target using bearing or direction of arrival measurements collected by a networked sensor array. The proposed approach is built on the dynamic average-consensus…

最优化与控制 · 数学 2020-01-31 Jemin George

In this paper, we consider the problem of computing robust controlled invariants for discrete-time monotone dynamical systems. We consider different classes of monotone systems depending on whether the sets of states, control inputs and…

系统与控制 · 电气工程与系统科学 2023-06-27 Adnane Saoud , Murat Arcak

Memory, as the basis of learning, determines the storage, update and forgetting of knowledge and further determines the efficiency of learning. Featured with the mechanism of memory, a radial basis function neural network based learning…

系统与控制 · 电气工程与系统科学 2023-11-27 Yiming Fei , Jiangang Li , Yanan Li

Conserved dynamical systems are generally considered to be critical. We study a class of critical routing models, equivalent to random maps, which can be solved rigorously in the thermodynamic limit. The information flow is conserved for…

适应与自组织系统 · 物理学 2013-01-10 Dimitrije Markovic , Andre Schuelein , Claudius Gros