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This paper discusses the interplay of symmetries and stability in the analysis and control of nonlinear dynamical systems and networks. Specifically, it combines standard results on symmetries and equivariance with recent convergence…

动力系统 · 数学 2015-05-20 Giovanni Russo , Jean-Jacques E. Slotine

Stability is a basic requirement when studying the behavior of dynamical systems. However, stabilizing dynamical systems via reinforcement learning is challenging because only little data can be collected over short time horizons before…

最优化与控制 · 数学 2024-11-01 Steffen W. R. Werner , Benjamin Peherstorfer

We analyze the stability properties of equilibrium solutions and periodicity of orbits in a two-dimensional dynamical system whose orbits mimic the evolution of the price of an asset and the excess demand for that asset. The construction of…

动力系统 · 数学 2009-09-29 Vladimir Belitsky , Antonio L. Pereira , Fernando P. de Almeida Prado

In this article, we consider inverse problems of determining a source term and a coefficient of a first-order partial differential equation and prove conditional stability estimates with minimum boundary observation data and relaxed…

偏微分方程分析 · 数学 2015-09-02 Fikret Gölgeleyen , Masahiro Yamamoto

The rankability of data is a recently proposed problem that considers the ability of a dataset, represented as a graph, to produce a meaningful ranking of the items it contains. To study this concept, a number of rankability measures have…

组合数学 · 数学 2022-03-15 Nathan McJames , David Malone , Oliver Mason

The area of research called \textquotedblleft Lineability\textquotedblright% \ looks for linear structures inside exotic subsets of vector spaces. In the last decade lineability/spaceability has been investigated in rather general settings;…

泛函分析 · 数学 2018-09-10 Vinícius Fávaro , Daniel Pellegrino , Daniel Tomaz

We study the problem of system identification for stochastic continuous-time dynamics, based on a single finite-length state trajectory. We present a method for estimating the possibly unstable open-loop matrix by employing properly…

机器学习 · 统计学 2025-09-30 Reza Sadeghi Hafshejani , Mohamad Kazem Shirani Fradonbeh

Recent neural-based aspect-based sentiment analysis approaches, though achieving promising improvement on benchmark datasets, have reported suffering from poor robustness when encountering confounder such as non-target aspects. In this…

计算与语言 · 计算机科学 2021-04-26 Zhen Bi , Ningyu Zhang , Ganqiang Ye , Haiyang Yu , Xi Chen , Huajun Chen

Control of multistable dynamical system has important applications, from physics to biology. Here, we attack this problem from the perspective of local sensitivity analysis. We develop sensitivity rules to control properties of…

最优化与控制 · 数学 2022-06-08 Rodrigo Moreno-Morton , Alessio Franci

Static analysis techniques enhance the security, performance, and reliability of programs by analyzing and portraiting program behaviors without the need for actual execution. In essence, static analysis takes the Intermediate…

编程语言 · 计算机科学 2024-05-22 Bowen Zhang , Wei Chen , Hung-Chun Chiu , Charles Zhang

When learning behavior, training data is often generated by the learner itself; this can result in unstable training dynamics, and this problem has particularly important applications in safety-sensitive real-world control tasks such as…

机器学习 · 计算机科学 2019-10-10 Vibhavari Dasagi , Jake Bruce , Thierry Peynot , Jürgen Leitner

Graphic statics is undergoing a renaissance, with computerized visual representation becoming both easier and more spectacular as time passes. While methods of the past are revived and tweaked, little emphasis has been placed on studying…

经典物理 · 物理学 2019-02-25 Tamás Baranyai

The performance of employees in an organization is a very important issue for effective delivery and output. Various performance management systems with the aid of Information and Communication Technology (ICT) are currently being used by…

计算机与社会 · 计算机科学 2013-08-01 Nana Yaw Asabere , Nana Kwame Gyamfi

The assessment of safety is an important aspect of the evaluation of new therapies in clinical trials, with analyses of adverse events being an essential part of this. Standard methods for the analysis of adverse events such as the…

In recent years, the AdS instability conjecture, put forward by Dafermos-Holzegel in 2006, has attracted a substantial amount of numerical and heuristic studies. Following the pioneering work of Bizon-Rostworowski, research efforts have…

偏微分方程分析 · 数学 2018-12-12 Georgios Moschidis

This paper studies the stability and $\mathcal{H}_{\infty}$ performance analysis problem for linear networked and quantized control systems with both communication delays random packet losses. To deal with the network-induced uncertainties…

系统与控制 · 电气工程与系统科学 2021-03-05 Wei Ren , Junlin Xiong

In this work, we consider systems that are subjected to intermittent instabilities due to external stochastic excitation. These intermittent instabilities, though rare, have a large impact on the probabilistic response of the system and…

混沌动力学 · 物理学 2017-06-02 Mustafa A. Mohamad , Themistoklis P. Sapsis

The use of AI analytics in health informatics has seen a rapid growth in recent years. In this talk, we look at AI analytics use in managing chronic health conditions such as diabetes, obesity, etc. We focus on the challenges in managing…

计算机与社会 · 计算机科学 2024-02-06 Aladdin Ayesh

In this paper, the problem of stability analysis of a large-scale interconnection of nonlinear systems for which the small-gain condition does not hold globally is considered. A combination of the small-gain and density propagation…

系统与控制 · 计算机科学 2016-11-29 Humberto Stein Shiromoto , Petro Feketa , Sergey Dashkovskiy

The linear stability of stratified two-phase flows in rectangular ducts is studied numerically. The linear stability analysis takes into account all possible infinitesimal three-dimensional disturbances and is carried out by solution of the…

流体动力学 · 物理学 2020-04-09 Alexander Gelfgat , Neima Brauner