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A class of asymptotically autonomous systems on the plane with oscillatory coefficients is considered. It is assumed that the limiting system is Hamiltonian with a stable equilibrium. The effect of damped multiplicative stochastic…

动力系统 · 数学 2023-06-14 Oskar A. Sultanov

In distributed model predictive control (DMPC), where a centralized optimization problem is solved in distributed fashion using dual decomposition, it is important to keep the number of iterations in the solution algorithm, i.e. the amount…

最优化与控制 · 数学 2013-07-11 Pontus Giselsson , Anders Rantzer

In this paper we investigate the asymptotic stability of a fourth-order PDE with a fading memory forcing term and boundary conditions arising from a flexible robotics model. We carry on our study by using an abstract formulation of the…

偏微分方程分析 · 数学 2025-07-30 Tiziana Cardinali , Serena Matucci , Paola Rubbioni

In this paper, Lyapunov-Razumikhin technique, design of state-dependent switching laws, a fixed point theorem and variational methods are employed to derive the existence and the unique existence results of globally exponentially stable…

动力系统 · 数学 2026-01-30 Ruofeng Rao , Jialin Huang , Xiaodi Li

Component-based systems evolve as a new component is added or an existing one is replaced by a newer version. Hence, it is appealing to assure the new system still preserves its safety properties. However, instead of inspecting the new…

形式语言与自动机理论 · 计算机科学 2017-09-14 Rosa Abbasi , Fatemeh Ghassemi , Ramtin Khosravi

We study the generic non-equilibrium steady states in asymmetric exclusion processes on a closed network with bottlenecks. To this end we proposes and study closed simple networks with multiply-connected non-identical junctions. Depending…

统计力学 · 物理学 2015-01-13 Rakesh Chatterjee , Anjan Kumar Chandra , Abhik Basu

The design of sensor networks capable of reaching a consensus on a globally optimal decision test, without the need for a fusion center, is a problem that has received considerable attention in the last years. Many consensus algorithms have…

分布式、并行与集群计算 · 计算机科学 2009-11-13 Gesualdo Scutari , Sergio Barbarossa

We introduce new coupling conditions for isentropic flow on networks based on an artificial density at the junction. The new coupling conditions can be derived from a kinetic model by imposing a condition on energy dissipation. Existence…

偏微分方程分析 · 数学 2020-06-17 Yannick Holle , Michael Herty , Michael Westdickenberg

Monotone systems comprise an important class of dynamical systems that are of interest both for their wide applicability and because of their interesting mathematical properties. It is known that under the property of quasimonotonicity…

动力系统 · 数学 2015-05-20 Eoin Devane , Ioannis Lestas

Consensus of autonomous agents is a benchmark problem in cooperative control. In this paper, we consider standard continuous-time averaging consensus policies (or Laplacian flows) over time-varying graphs and focus on robustness of…

系统与控制 · 电气工程与系统科学 2020-09-08 Anton V. Proskurnikov , Guiseppe Calafiore

In device-independent (DI) quantum protocols, the security statements are oblivious to the characterization of the quantum apparatus - they are based solely on the classical interaction with the quantum devices as well as some well-defined…

量子物理 · 物理学 2025-12-05 Ilya Merkulov , Rotem Arnon

Traditional asymptotic information-theoretic studies of the fundamental limits of wireless communication systems primarily rely on some ideal assumptions, such as infinite blocklength and vanishing error probability. While these assumptions…

信息论 · 计算机科学 2025-12-29 Junyuan Gao , Shuao Chen , Yongpeng Wu , Liang Liu , Giuseppe Caire , H. Vincent Poor , Wenjun Zhang

Bell non-local correlations cannot be naturally explained in a fixed causal structure. This serves as a motivation for considering models where no global assumption is made beyond logical consistency. The assumption of a fixed causal order…

量子物理 · 物理学 2016-04-06 Ämin Baumeler , Stefan Wolf

We investigate the steady-state solution and its bifurcations in time-delay systems with band-limited feedback. This is a first step in a rigorous study concerning the effects of AC-coupled components in nonlinear devices with time-delayed…

混沌动力学 · 物理学 2009-11-11 Lucas Illing , Daniel J. Gauthier

In this paper, we consider the problem of modelling the average delay experienced by a packet in a single cell IEEE 802.11 DCF wireless local area network. The packet arrival process at each node i is assumed to be Poisson with rate…

网络与互联网体系结构 · 计算机科学 2010-09-23 Albert Sunny , Joy Kuri , Saurabh Aggarwal

In a very recent work [J. D. Hern\'andez Guill\'en, A. Mart\'in del Rey, A mathematical model for malware spread on WSNs with population dynamics, Physica A: Statistical Mechanics and its Applications 545(2020) 123609], a novel theoretical…

动力系统 · 数学 2021-12-14 Manh Tuan Hoang

This paper investigates an expected average error for distributed averaging problems under asynchronous updates. The asynchronism in this context implies no existence of a global clock as well as random characteristics in communication…

系统与控制 · 电气工程与系统科学 2020-06-04 Kooktae Lee

Dynamical systems with a coupled cell network structure can display synchronous solutions, spectral degeneracies and anomalous bifurcation behavior. We explain these phenomena here for homogeneous networks, by showing that every homogeneous…

动力系统 · 数学 2013-04-05 Bob Rink , Jan Sanders

This paper presents a framework for the study of convergence when the nodes' dynamics may be both piecewise smooth and/or nonidentical across the network. Specifically, we derive sufficient conditions for global convergence of all node…

动力系统 · 数学 2014-04-08 Pietro DeLellis , Mario di Bernardo , Davide Liuzza

We prove a central limit theorem for network formation models with strategic interactions and homophilous agents. Since data often consists of observations on a single large network, we consider an asymptotic framework in which the network…

计量经济学 · 经济学 2026-03-11 Michael P. Leung , Hyungsik Roger Moon