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We consider a basic model of a dynamical distribution network, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and…

最优化与控制 · 数学 2014-03-21 Jieqiang Wei , Arjan J. van der Schaft

This paper investigates two issues on identification of switched linear systems: persistence of excitation and numerical algorithms. The main contribution is a much weaker condition on the regressor to be persistently exciting that…

系统与控制 · 电气工程与系统科学 2021-12-07 Biqiang Mu , Tianshi Chen , Changming Cheng , Er-Wei Bai

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

In this paper, we study stability and latency of routing in wireless networks where it is assumed that no collision will occur. Our approach is inspired by the adversarial queuing theory, which is amended in order to model wireless…

网络与互联网体系结构 · 计算机科学 2010-06-08 Vicent Cholvi , Dariusz R. Kowalski

We address a class of Markov jump linear systems that are characterized by the underlying Markov process being time-inhomogeneous with a priori unknown transition probabilities. Necessary and sufficient conditions for uniform stochastic…

系统与控制 · 计算机科学 2014-11-24 Collin C. Lutz , Daniel J. Stilwell

The paper addresses the model reduction problem for linear and nonlinear systems using the notion of least squares moment matching. For linear systems, the main idea is to approximate a transfer function by ensuring that the interpolation…

最优化与控制 · 数学 2021-10-13 Alberto Padoan

The minimum number of inputs needed to control a network is frequently used to quantify its controllability. Control of linear dynamics through a minimum set of inputs, however, often has prohibitively large energy requirements and there is…

计算工程、金融与科学 · 计算机科学 2022-12-12 Samie Alizadeh , Márton Pósfai , Abdorasoul Ghasemi

The Multi-class Queueing Network (McQN) arises as a natural multi-class extension of the traditional (single-class) Jackson network. In a single-class network subcriticality (i.e. subunitary nominal workload at every station) entails…

概率论 · 数学 2018-12-17 Haralambie Leahu , Michel Mandjes , Ana-Maria Oprescu

We consider the problem of stabilization of a linear system, under state and control constraints, and subject to bounded disturbances and unknown parameters in the state matrix. First, using a simple least square solution and available…

系统与控制 · 电气工程与系统科学 2020-07-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

This paper addresses the qualitative theory of mixed-order positive linear coupled systems with bounded or unbounded delays. First, we introduce a general result on the existence and uniqueness of solutions to mixed-order linear coupled…

经典分析与常微分方程 · 数学 2023-08-15 H. T. Tuan , L. V. Thinh

The paper studies the output-feedback synchronization problem for a network of identical, linear time-invariant systems. A criterion to test network synchronization is derived and the class of output-feedback synchronizable systems is…

最优化与控制 · 数学 2016-08-23 Tian Xia , Luca Scardovi

In this paper, we study the "stability" of machine learning (ML) models within the context of larger, complex NLP systems with continuous training data updates. For this study, we propose a methodology for the assessment of model stability…

计算与语言 · 计算机科学 2022-01-19 Huiting Liu , Avinesh P. V. S. , Siddharth Patwardhan , Peter Grasch , Sachin Agarwal

This paper investigates the mathematical modeling and the stability of multi-lane traffic in the microscopic scale, studying a model based on two interaction terms. To do this we propose simple lane changing conditions and we study the…

经典分析与常微分方程 · 数学 2023-12-05 Matteo Piu , Gabriella Puppo

We study conditions for the existence of stable and group-strategy-proof mechanisms in a many-to-one matching model with contracts if students' preferences are monotone in contract terms. We show that "equivalence", properly defined, to a…

理论经济学 · 经济学 2021-07-13 Jan Christoph Schlegel

A useful sampling-reconstruction model should be stable with respect to different kind of small perturbations, regardless whether they result from jitter, measurement errors, or simply from a small change in the model assumptions. In this…

综合数学 · 数学 2007-05-31 E. costa-Reyes , A. Aldroubi , I. Krishtal

This paper considers the problem of robust stability for a class of uncertain quantum systems subject to unknown perturbations in the system coupling operator. A general stability result is given for a class of perturbations to the system…

量子物理 · 物理学 2012-08-31 Ian R. Petersen , Valery Ugrinovskii , Matthew R. James

In this paper, we use a variety of mathematical techniques to explore existence, local stability, and global stability of equilibria in abstract models of mitochondrial metabolism. The class of models constructed is defined by the…

定量方法 · 定量生物学 2007-06-26 Pete Donnell , Murad Banaji , Stephen Baigent

The stability of stochastic Model Predictive Control (MPC) subject to additive disturbances is often demonstrated in the literature by constructing Lyapunov-like inequalities that ensure closed-loop performance bounds and boundedness of the…

最优化与控制 · 数学 2020-04-07 Diego Muñoz-Carpintero , Mark Cannon

In this paper queue stability in a single-hop wireless multicast networks over erasure channels is analyzed. First, a queuing model consisting of several sub-queues is introduced. Under the queueing stability constraint, we adopt Lyapunov…

信息论 · 计算机科学 2016-12-01 Nadieh Moghadam , Mohammad Mohebbi , Hongxiang Li

This paper deals with learning stability of partially observed switched linear systems under arbitrary switching. Such systems are widely used to describe cyber-physical systems which arise by combining physical systems with digital…

系统与控制 · 电气工程与系统科学 2023-01-20 Zheming Wang , Raphaël M. Jungers , Mihály Petreczky , Bo Chen , Li Yu