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This paper addresses the stability analysis of infinite-dimensional sampled-data systems under unbounded perturbations. We present two classes of unbounded perturbations preserving the exponential stability of sampled-data systems. To this…

Optimization and Control · Mathematics 2019-10-04 Masashi Wakaiki , Yutaka Yamamoto

We prove homological stability for sequences of "oriented configuration spaces" as the number of points in the configuration goes to infinity. These are spaces of configurations of n points in a connected manifold M of dimension at least 2…

Algebraic Topology · Mathematics 2014-07-18 Martin Palmer

Accurate simulations of ice sheet dynamics, mantle convection, lava flow, and other highly viscous free-surface flows involve solving the coupled Stokes/free-surface equations. In this paper, we theoretically analyze the stability and…

Numerical Analysis · Mathematics 2025-06-13 Igor Tominec , Lukas Lundgren , André Löfgren , Josefin Ahlkrona

Using the white noise setting, in particular the Wick product, the Hermite transform, and the Kondratiev space, we present a new approach to study linear stochastic systems, where randomness is also included in the transfer function. We…

Probability · Mathematics 2008-11-27 Daniel Alpay , David Levanony

We prove that that second-order (double-loop) chaotic sigma-delta schemes are stable - within a certain parameter range, all state variables of the system are guaranteed to remain uniformly bounded. To our knowledge this is the first…

Dynamical Systems · Mathematics 2012-04-12 Lauren Bandklayder , Rachel Ward

Slotted ALOHA (SA) algorithms with Successive Interference Cancellation (SIC) decoding have received significant attention lately due to their ability to dramatically increase the throughput of traditional SA. Motivated by increased density…

Information Theory · Computer Science 2017-06-30 Aleksandar Mastilovic , Dejan Vukobratovic , Dusan Jakovetic , Dragana Bajovic

This paper deals with strong versions of input-to-state stability and integral input-to-state stability of infinite-dimensional linear systems with an unbounded input operator. We show that infinite-time admissibility with respect to inputs…

Functional Analysis · Mathematics 2019-02-05 Robert Nabiullin , Felix Schwenninger

A consistency/latency tradeoff arises as soon as a distributed storage system replicates data. For low latency, modern storage systems often settle for weak consistency conditions, which provide little, or even worse, no guarantee for data…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-16 Hengfeng Wei , Yu Huang , Jiannong Cao , Jian Lu

In this paper we consider distributed adaptive stabilization for uncertain multivariable linear systems with a time-varying diagonal matrix gain. We show that uncertain multivariable linear systems are stabilizable by diagonal matrix high…

Systems and Control · Electrical Eng. & Systems 2021-05-31 Zhiyong Sun , Anders Rantzer , Zhongkui Li , Anders Robertsson

In this paper, a stochastic geometry based analytical framework is proposed for secure simultaneous transmitting and reflecting reconfigurable intelligent surface (STAR-RIS) assisted non-orthogonal multiple access (NOMA) transmissions,…

Information Theory · Computer Science 2023-11-03 Ziyi Xie , Yuanwei Liu , Wenqiang Yi , Xuanli Wu , Arumugam Nallanathan

We consider the model of a token-based joint auto-scaling and load balancing strategy, proposed in a recent paper by Mukherjee, Dhara, Borst, and van Leeuwaarden (SIGMETRICS '17, arXiv:1703.08373), which offers an efficient scalable…

Probability · Mathematics 2020-02-27 Debankur Mukherjee , Alexander Stolyar

In this two-part paper, we consider strategic topology switching for the second-order multi-agent systems under a special class of stealthy attacks, namely the "zero-dynamics" attack (ZDA). The main mathematical tool proposed here is to…

Systems and Control · Computer Science 2019-03-05 Yanbing Mao , Emrah Akyol , Ziang Zhang

We study the stability of randomized Taylor schemes for ODEs. We consider three notions of probabilistic stability: asymptotic stability, mean-square stability, and stability in probability. We prove fundamental properties of the…

Numerical Analysis · Mathematics 2023-10-26 Tomasz Bochacik

Stability of linear systems with uncertain bounded time-varying delays is studied under assumption that the nominal delay values are not equal to zero. An input-output approach to stability of such systems is known to be based on the bound…

Optimization and Control · Mathematics 2007-05-23 Eugenii Shustin , Emilia Fridman

In this paper, the problem of using uncoordinated multiple access (UMA) to serve a massive amount of heterogeneous users is investigated. Leveraging the heterogeneity, we propose a novel UMA protocol, called iterative collision resolution…

Information Theory · Computer Science 2020-12-25 Yu-Chih Huang , Shin-Lin Shieh , Yu-Pin Hsu , Hao-Ping Cheng

In this paper, we study the problem of cooperative communications in cognitive radio systems where the secondary user has limited relaying room for the overheard primary packets. More specifically, we characterize the stable throughput…

Networking and Internet Architecture · Computer Science 2016-11-17 Adel M. Elmahdy , Amr El-Keyi , Tamer ElBatt , Karim G. Seddik

We study a class of singularly perturbed impulsive linear switched systems exhibiting switching between slow and fast dynamics. To analyze their behavior, we construct auxiliary switched systems evolving in a single time scale. We prove…

Optimization and Control · Mathematics 2026-02-09 Ihab Haidar , Yacine Chitour , Jamal Daafouz , Paolo Mason , Mario Sigalotti

We present the first protocol for oblivious transfer that can be implemented with an optical continuous-variable system, and prove its security in the noisy-storage model. This model allows security to be achieved by sending more quantum…

Quantum Physics · Physics 2015-10-01 Fabian Furrer , Christian Schaffner , Stephanie Wehner

This work considers the secure and reliable information transmission in two-hop relay wireless networks without the information of both eavesdropper channels and locations. While the previous work on this problem mainly studied infinite…

Networking and Internet Architecture · Computer Science 2012-12-03 Yulong Shen , Xiaohong Jiang , Jianfeng Ma , Weisong Shi

In this paper we establish a necessary and sufficient stability condition for a stochastic ring network. Such networks naturally appear in a variety of applications within communication, computer, and road traffic systems. They typically…

Probability · Mathematics 2023-09-04 Jaap Storm , Wouter Kager , Michel Mandjes , Sem Borst
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