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In this manuscript we consider the stability of periodic solutions to Lambda-Omega lattice dynamical systems. In particular, we show that an appropriate ansatz casts the lattice dynamical system as an infinite-dimensional fast-slow…

动力系统 · 数学 2020-06-02 Jason J. Bramburger

This paper investigates the mean stability of a class of discrete-time stochastic switched linear systems using the $L^p$-norm joint spectral radius of the probability distributions governing the switched systems. First we prove a converse…

最优化与控制 · 数学 2016-11-04 Masaki Ogura , Clyde F. Martin

This article deals with stabilizing discrete-time switched linear systems. Our contributions are threefold: Firstly, given a family of linear systems possibly containing unstable dynamics, we propose a large class of switching signals that…

系统与控制 · 计算机科学 2014-05-09 Atreyee Kundu , Debasish Chatterjee

This work focuses on stability of regime-switching diffusions consisting of continuous and discrete components, in which the discrete component switches in a countably infinite set and its switching rates at current time depend on the…

概率论 · 数学 2017-10-10 Dang H. Nguyen , George Yin

We consider finite element discretizations of the Biot's consolidation model in poroelasticity with MINI and stabilized P1-P1 elements. We analyze the convergence of the fully discrete model based on spatial discretization with these types…

数值分析 · 数学 2023-07-19 Carmen Rodrigo , Francisco Gaspar , Xiaozhe Hu , Ludmil Zikatanov

Time lags occur in a vast range of real-world dynamical systems due to finite reaction times or propagation speeds. Here we derive an analytical approach to determine the asymptotic stability of synchronous states in networks of coupled…

We study the optimal transmission scheme that maximizes the local capacity in two-dimensional (2D) wireless networks. Local capacity is defined as the average information rate received by a node randomly located in the network. Using…

网络与互联网体系结构 · 计算机科学 2011-11-10 Salman Malik , Philippe Jacquet

This paper investigates on the problem of combining routing scheme and physical layer security in multihop wireless networks with cooperative diversity. We propose an ad-hoc natured hop-by-hop best secure relay selection in a multihop…

信息论 · 计算机科学 2018-07-20 Anish Prasad Shrestha , Kyung Sup Kwak

Robustness guarantees are important properties to be looked for during control design. They ensure stability of closed-loop systems in face of uncertainties, unmodeled effects and bounded disturbances. While the theory on robust stability…

系统与控制 · 电气工程与系统科学 2022-10-10 Samuele Zoboli , Daniele Astolfi , Vincent Andrieu

This paper provides a new unified framework for second-moment stability of discrete-time linear systems with stochastic dynamics. Relations of notions of second-moment stability are studied for the systems with general stochastic dynamics,…

系统与控制 · 电气工程与系统科学 2019-11-04 Yohei Hosoe , Tomomichi Hagiwara

We introduce Mini Slotted Threshold ALOHA (MiSTA), a slotted ALOHA modification designed to minimize the network-wide time average Age of Information (AoI). In MiSTA, sources whose ages are below a certain threshold stay silent. When a node…

信息论 · 计算机科学 2021-11-16 Mutlu Ahmetoglu , Orhan Tahir Yavascan , Elif Uysal

The stability radius for finitely many interconnected linear exponentially stable well-posed systems with respect to static perturbations is studied. If the output space of each system is finite-dimensional, then a lower bound for the…

泛函分析 · 数学 2019-12-05 Birgit Jacob , Sebastian Möller , Christian Wyss

This paper is concerned with the problem of robust stabilization for a class of uncertain 2D discrete switched systems with state delays represented by a model of Roesser type, where the switching instants of the controller experience…

动力系统 · 数学 2012-07-10 Shipei Huang , Zhengrong Xiang

Motivated by the need to hide the complexity of the physical layer from performance analysis in a layer 2 protocol, a class of abstract receivers, called Poisson receivers, was recently proposed in [1] as a probabilistic framework for…

网络与互联网体系结构 · 计算机科学 2025-07-17 Tzu-Hsuan Liu , Che-Hao Yu , Yi-Jheng Lin , Cheng-Shang Chang , Duan-Shin Lee

This paper presents stability and accuracy analysis of a high-order explicit time stepping scheme introduced by \cite[Section 2.2]{Buvoli2019}, which exhibits superior stability compared to classical Adams-Bashforth. A conjecture that is…

数值分析 · 数学 2026-04-01 Daopeng Yin , Liquan Mei

The amalgamation of non-orthogonal multiple access (NOMA) and physical layer security is a significant research interest for providing spectrally-efficient secure fifth-generation networks. Observing the secrecy issue among multiplexed NOMA…

信息论 · 计算机科学 2021-03-31 Sapna Thapar , Deepak Mishra , Ravikant Saini

Pinching-antenna systems have recently gained significant attention as a novel reconfigurable-antenna technology due to its exceptional capability of mitigating signal-propagation path loss. In this letter, we investigate the secrecy…

信号处理 · 电气工程与系统科学 2025-09-23 Nianzu Li , Weidong Mei , Lipeng Zhu , Peiran Wu , Boyu Ning

This paper investigates the stability of switched linear systems whose switching signal is modeled as a stochastic process called a regenerative process. We show that the mean stability of such a switched system is characterized by the…

最优化与控制 · 数学 2016-11-04 Masaki Ogura , Clyde F. Martin

The sum rate performance of random-access networks crucially depends on the access protocol and receiver structure. Despite extensive studies, how to characterize the maximum sum rate of the simplest version of random access, Aloha, remains…

信息论 · 计算机科学 2015-12-18 Yitong Li , Lin Dai

This article is concerned with stability analysis and stabilization of randomly switched nonlinear systems. These systems may be regarded as piecewise deterministic stochastic systems: the discrete switches are triggered by a stochastic…

最优化与控制 · 数学 2010-09-08 Debasish Chatterjee , Daniel Liberzon