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Perturbation theory is an important tool in the analysis of oscillators and their response to external stimuli. It is predicated on the assumption that the perturbations in question are "sufficiently weak", an assumption that is not always…

神经元与认知 · 定量生物学 2012-01-19 Kevin K. Lin , Kyle C. A. Wedgwood , Stephen Coombes , Lai-Sang Young

Control systems are exposed to unintentional errors, deliberate intrusions, false data injection attacks, and various other disruptions. In this paper we propose, justify, and illustrate a rule of thumb for detecting, or confirming the…

统计方法学 · 统计学 2018-06-19 Nadezhda Gribkova , Ričardas Zitikis

In this paper, we revisit energy-based concepts of controllability and reformulate them for control-affine nonlinear systems perturbed by white noise. Specifically, we discuss the relation between controllability of deterministic systems…

最优化与控制 · 数学 2021-08-03 Carsten Hartmann , Lara Neureither , Markus Strehlau

Link (edge) addition/deletion or sensor/actuator failures are common structural perturbations for real network systems. This paper is related to the computation complexity of minimal (cost) link insertion, deletion and vertex deletion with…

最优化与控制 · 数学 2019-05-31 Yuan Zhang , Tong Zhou

Many fundamental problems in artificial intelligence, knowledge representation, and verification involve reasoning about sets and relations between sets and can be modeled as set constraint satisfaction problems (set CSPs). Such problems…

人工智能 · 计算机科学 2012-07-19 Manuel Bodirsky , Martin Hils , Alex Krimkevich

Projection-based control (PBC) systems have significant engineering impact and receive considerable scientific attention. To properly describe closed-loop PBC systems, extensions of classical projected dynamical systems are needed, because…

最优化与控制 · 数学 2023-03-17 Maurice Heemels , Aneel Tanwani

The article addresses the problem of strong structural controllability of structured networks with multi-input multi-output (MIMO) node systems. The authors first present necessary and sufficient conditions for strong structural…

系统与控制 · 电气工程与系统科学 2023-05-19 Yanting Ni , Xuyang Lou , Junjie Jiao , Jiajia Jia

The prescribed-time stabilization problem for a general class of nonlinear systems with unknown input gain and appended dynamics (with unmeasured state) is addressed. Unlike the asymptotic stabilization problem, the prescribed-time…

最优化与控制 · 数学 2021-08-10 Prashanth Krishnamurthy , Farshad Khorrami

We study a control system resembling a singularly perturbed system whose variables are decomposed into groups that change their values with rates of different orders of magnitude. We establish that the slow trajectories of this system are…

最优化与控制 · 数学 2023-09-07 Vladimir Gaitsgory , Ilya Shvartsman

Model Predictive Control (MPC) is a widely known control method that has proved to be particularly effective in multivariable and constrained control. Closed-loop stability and recursive feasibility can be guaranteed by employing accurate…

系统与控制 · 电气工程与系统科学 2025-02-05 Marco Polver , Daniel Limon , Fabio Previdi , Antonio Ferramosca

In this paper, we address the problem of controlling a system over an unreliable connection that is affected by time-varying delays and randomly occurring packet losses. A novel sequence-based approach is proposed that extends a given…

系统与控制 · 计算机科学 2012-06-13 Achim Hekler , Jörg Fischer , Uwe D. Hanebeck

This paper studies the problem of selecting input nodes (leaders) to make networks strong structurally controllable despite misbehaving nodes and edges. We utilize a graph-based characterization of network strong structural controllability…

系统与控制 · 电气工程与系统科学 2023-03-07 Waseem Abbas

In this paper, we investigate the control of a cyber-physical system (CPS) while accounting for its vulnerability to external attacks. We formulate a constrained stochastic problem with a robust constraint to ensure robust operation against…

最优化与控制 · 数学 2024-07-18 Nishanth Venkatesh , Aditya Dave , Ioannis Faros , Andreas A. Malikopoulos

We characterize the spectrum (and its parts) of operators which can be represented as G=A+BC for a simpler operator A and a structured perturbation BC. The interest in this kind of perturbations is motivated, e.g., by perturbations of the…

谱理论 · 数学 2016-10-05 Martin Adler , Klaus-Jochen Engel

Despite recent progress in our understanding of complex dynamic networks, it remains challenging to devisesufficiently accurate models to observe, control or predict the state of real systems in biology, economics or other fields. A largely…

Periodic event-triggered control (PETC) evaluates the triggering rule periodically and is well-suited for implementation on digital platforms. This paper investigates PETC design for nonlinear systems affected by external disturbances under…

最优化与控制 · 数学 2020-06-05 Xiangru Xu , Adam M. Tahir , Behcet Acikmese

Although there is a somewhat standard formalization of computability on countable sets given by Turing machines, the same cannot be said about uncountable sets. Among the approaches to define computability in these sets, order-theoretic…

计算机科学中的逻辑 · 计算机科学 2022-09-07 Pedro Hack , Daniel A. Braun , Sebastian Gottwald

In the paper, we introduce and address the problem of structural averaged controllability for linear ensemble systems. We provide examples highlighting the differences between this problem and others. In particular, we show that structural…

最优化与控制 · 数学 2021-04-29 Bahman Gharesifard , Xudong Chen

Learning-based control has attracted significant attention in recent years, especially for plants that are difficult to model based on first-principles. A key issue in learning-based control is how to make efficient use of data as the…

系统与控制 · 电气工程与系统科学 2025-08-05 Kaikai Zheng , Dawei Shi , Sandra Hirche , Yang Shi

Spectral clustering is a popular unsupervised learning technique which is able to partition unlabelled data into disjoint clusters of distinct shapes. However, the data under consideration are often experimental data, implying that the data…

机器学习 · 统计学 2025-05-26 Jürgen Dölz , Jolanda Weygandt