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In this technical note, we study the mean square stability-based analysis of stochastic continuous-time linear networked systems. The stochastic uncertainty is assumed to enter multiplicatively in system dynamics through input and output…

最优化与控制 · 数学 2018-02-09 Sai Pushpak , Amit Diwadkar , Umesh Vaidya

Deep Markov models (DMM) are generative models that are scalable and expressive generalization of Markov models for representation, learning, and inference problems. However, the fundamental stochastic stability guarantees of such models…

机器学习 · 计算机科学 2021-11-09 Ján Drgoňa , Sayak Mukherjee , Jiaxin Zhang , Frank Liu , Mahantesh Halappanavar

This paper explores the fundamental limits of a simple system, inspired by the intermittent Kalman filtering model, where the actuation direction is drawn uniformly from the unit hypersphere. The model allows us to focus on a fundamental…

最优化与控制 · 数学 2021-05-18 Rahul Arya , Chih-Yuan Chiu , Gireeja Ranade

The field of network synchronization has seen tremendous growth following the introduction of the master stability function (MSF) formalism, which enables the efficient stability analysis of synchronization in large oscillator networks.…

适应与自组织系统 · 物理学 2020-11-24 Yuanzhao Zhang , Adilson E. Motter

Dynamical networks with time delays can pose a considerable challenge for mathematical analysis. Here, we extend the approach of generalized modeling to investigate the stability of large networks of delay-coupled delay oscillators. When…

无序系统与神经网络 · 物理学 2011-11-11 Johannes M. Höfener , Gautam C. Sethia , Thilo Gross

This work studies the mean-square stability and stabilization problem for networked feedback systems. Data transmission delays in the network channels of the systems are considered. It is assumed that these delays are i.i.d. processes with…

系统与控制 · 电气工程与系统科学 2022-09-20 Jieying Lu , Junhui Li , Weizhou Su

This paper deals with stability of discrete-time switched linear systems whose all subsystems are unstable and the set of admissible switching signals obeys pre-specified restrictions on switches between the subsystems and dwell times on…

系统与控制 · 电气工程与系统科学 2021-11-11 Atreyee Kundu

Recent control trends are increasingly relying on communication networks and wireless channels to close the loop for Internet-of-Things applications. Traditionally these approaches are model-based, i.e., assuming a network or channel model…

系统与控制 · 电气工程与系统科学 2019-11-11 Konstantinos Gatsis , George J. Pappas

In this paper, we study networks of positive linear systems subject to time-invariant and random uncertainties. We present linear matrix inequalities for checking the stability of the whole network around the origin with prescribed…

最优化与控制 · 数学 2016-11-09 Masaki Ogura , Victor M. Preciado

Stabilization of non-stationary linear systems over noisy communication channels is considered. Stochastically stable sources, and unstable but noise-free or bounded-noise systems have been extensively studied in information theory and…

信息论 · 计算机科学 2012-05-07 Serdar Yüksel

Swarm stability is concerned for descriptor compartmental networks with linear time-invariant protocol. Compartmental network is a specific type of dynamical multi-agent system. Necessary and sufficient conditions for both consensus and…

系统与控制 · 计算机科学 2015-01-13 Ning Cai , M. Junaid Khan

Deep learning-based joint source-channel coding (JSCC) is emerging as a potential technology to meet the demand for effective data transmission, particularly for image transmission. Nevertheless, most existing advancements only consider…

信号处理 · 电气工程与系统科学 2024-06-18 Pujing Yang , Guangyi Zhang , Yunlong Cai

We survey the numerical stability of some fast algorithms for solving systems of linear equations and linear least squares problems with a low displacement-rank structure. For example, the matrices involved may be Toeplitz or Hankel. We…

数值分析 · 数学 2021-07-06 Richard P. Brent

A quantum phase of matter can be understood from the symmetry of the system's Hamiltonian. The system symmetry along the time axis has been proposed to show a new phase of matter referred as discrete-time crystals (DTCs). A DTC is a quantum…

The numerical simulation of multiple scattering in dense ensembles is the mostly adopted solution to predict their complex optical response. While the scalar and vectorial light mediated interactions are accurately taken into account, the…

The concept of SCN offers a fast framework with universal approximation guarantee for lifelong learning of non-stationary data streams. Its adaptive scope selection property enables for proper random generation of hidden unit parameters…

机器学习 · 计算机科学 2019-12-10 Mahardhika Pratama , Dianhui Wang

Stability is an important issue in order to characterize the performance of a network, and it has become a major topic of study in the last decade. Roughly speaking, a communication network system is said to be stable if the number of…

网络与互联网体系结构 · 计算机科学 2020-05-06 Vicent Cholvi , Paweł Garncarek , Tomasz Jurdzinski , Dariusz R. Kowalski

In the paper below we consider a problem of stabilization of a priori unknown unstable periodic orbits in non-linear autonomous discrete dynamical systems. We suggest a generalization of a non-linear DFC scheme to improve the rate of…

混沌动力学 · 物理学 2016-08-30 D. Dmitrishin , E. Franzheva , A. Stokolos

We consider five different peer-to-peer file sharing systems with two chunks, with the aim of finding chunk selection algorithms that have provably stable performance with any input rate and assuming non-altruistic peers who leave the…

操作系统 · 计算机科学 2018-10-24 Ilkka Norros , Hannu Reittu , Timo Eirola

The discrete self-trapping equation (DST) represents an useful model for several properties of one-dimensional nonlinear molecular crystals. The modulational instability of DST equation is discussed from a statistical point of view,…

可精确求解与可积系统 · 物理学 2009-11-07 Anca Visinescu , D. Grecu