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This paper deals with the stability analysis problem of discrete-time switched linear systems with ranged dwell time. A novel concept called L-switching-cycle is proposed, which contains sequences of multiple activation cycles satisfying…

Optimization and Control · Mathematics 2021-06-01 Weiming Xiang

Continuous-time stochastic systems have attracted a lot of attention recently, due to their wide-spread use in finance for modelling price-dynamics. More recently models taking into accounts shocks have been developed by assuming that the…

Probability · Mathematics 2014-01-07 L. Gerencser , M. Manfay

We study stability issue of reset and impulsive switched systems. We find time constraints (dwell time and flee time) on switching signals which stabilize a given reset switched system. For a given collection of matrices, we find an…

Dynamical Systems · Mathematics 2023-06-21 Swapnil Tripathi , Nikita Agarwal

In this paper, a global stability analysis is given for a rate-based congestion control system modeled by a nonlinear delayed differential equation. The model determines the dynamics of a single-source single-link network, with a…

Networking and Internet Architecture · Computer Science 2009-06-29 B. Rezaie , MR. Jahed Motlagh , M. Analoui , S. Khorsandi

In this tutorial paper, a comprehensive survey is given on several major systematic approaches in dealing with delay-aware control problems, namely the equivalent rate constraint approach, the Lyapunov stability drift approach and the…

Performance · Computer Science 2016-11-17 Ying Cui , Vincent K. N. Lau , Rui Wang , Huang Huang , Shunqing Zhang

This paper investigates the robustness of exponential stability of a class of switched systems described by linear functional differential equations under arbitrary switching. We will measure the stability robustness of such a system,…

Dynamical Systems · Mathematics 2022-03-08 Nguyen Khoa Son , Le Van Ngoc

This paper deals a continuous-time state-dependent jump linear system, a particular kind of stochastic switching system. In particular, we consider a situation when the transition rate of the random jump process depends on the state…

Systems and Control · Computer Science 2016-11-26 Shaikshavali Chitraganti , Samir Aberkane , Christophe Aubrun

This paper addresses the safe stabilization problem of stochastic nonlinear time-delay systems. Based on theKrasovskii approach, we first propose a stochastic control Lyapunov-Krasovskii functional to guarantee the stabilization objective…

Systems and Control · Electrical Eng. & Systems 2023-11-06 Zhuo-Rui Pan , Wei Ren , Xi-Ming Sun

In this paper a stochastic model of a large distributed system where users' files are duplicated on unreliable data servers is investigated. Due to a server breakdown, a copy of a file can be lost, it can be retrieved if another copy of the…

Probability · Mathematics 2015-12-21 Wen Sun , Mathieu Feuillet , Philippe Robert

In this paper, we revisit the stability region of a cellular time division duplex (TDD) network. We characterize the queuing stability region of a network model that consists of two types of communications: (i) users communicating with the…

Information Theory · Computer Science 2017-11-09 Rita Ibrahim , Mohamad Assaad , Berna Sayrac , Anthony Ephremides

Symmetric matrix-valued dynamical systems are an important class of systems that can describe important processes such as covariance/second-order moment processes, or processes on manifolds and Lie Groups. We address here the case of…

Optimization and Control · Mathematics 2023-10-03 Corentin Briat

This paper deals with the problem of covariance stabilization for a class of linear stochastic discrete-time systems in the Stochastic Model Predictive Control (SMPC) framework. The considered systems are affected by independent and…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Kaouther Moussa , Dimitri Peaucelle

This paper addresses the stability problem for discrete-time switched systems under autonomous switching. Each mode of the switched system is modeled as a Linear Parameter Varying (LPV) system, the time-varying parameters can vary…

Systems and Control · Electrical Eng. & Systems 2020-05-13 Márcio J. Lacerda , Cristiano M. Agulhari

In this paper we analyze the probability of consistency of sensor data distribution systems (SDDS), and determine suitable evaluation models. This problem is typically difficult, since a reliable model taking into account all parameters and…

Networking and Internet Architecture · Computer Science 2016-11-17 Mauro Femminella , Gianluca Reali

We investigate a novel anytime control algorithm for wireless networked control with random dropouts. The controller computes sequences of tentative future control commands using time-varying (Markovian) computational resources. The…

Information Theory · Computer Science 2024-10-30 Wanchun Liu , Daniel E. Quevedo , Yonghui Li , Branka Vucetic

Markov chains are the de facto finite-state model for stochastic dynamical systems, and Markov decision processes (MDPs) extend Markov chains by incorporating non-deterministic behaviors. Given an MDP and rewards on states, a classical…

Logic in Computer Science · Computer Science 2024-11-13 Krishnendu Chatterjee , Laurent Doyen

This paper is concerned with the study of the stability of dynamical systems evolving on time scales. We first {formalize the notion of matrix measures on time scales, prove some of their key properties and make use of this notion to study…

Dynamical Systems · Mathematics 2022-06-10 Giovanni Russo , Fabian Wirth

Stability of retarded differential equations is closely related to the existence of Lyapunov-Krasovskii functionals. Even if a number of converse results have been reported regarding the existence of such functionals, there is a lack of…

Optimization and Control · Mathematics 2021-01-01 Hugo Lhachemi , Robert Shorten

Solving optimal control problems to determine a stabilizing controller involves a significant computational effort. Time-varying optimal control provides a remedy by designing a tracking system, given as an ordinary differential equation,…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Patrick Schmidt , Stefan Streif

This paper investigates almost sure exponential stabilization of continuous-time Markov jump linear systems (MJLSs) under communication data-rate constraints by introducing sampling and quantization into the feedback control. Different from…

Dynamical Systems · Mathematics 2021-10-29 Jingyi Wang , Jianwen Feng , Chen Xu , Xiaoqun Wu , Jinhu Lü
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