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This paper studies impulsive stabilization of nonlinear systems. We propose two types of event-triggering algorithms to update the impulsive control signals with actuation delays. The first algorithm is based on continuous event detection,…

最优化与控制 · 数学 2022-12-16 Kexue Zhang , Elena Braverman

Sufficient condition for the stability of a fractional order semi-linear system with multi-time delay is proposed.

偏微分方程分析 · 数学 2014-09-16 Supriyo Dutta , N. Sukavanam

We study the stability of a Markovian model of electricity production and consumption that incorporates production volatility due to renewables and uncertainty about actual demand versus planned production. We assume that the energy…

系统与控制 · 计算机科学 2013-04-23 Jean-Yves Le Boudec , Dan-Cristian Tomozei

This work is devoted to the study of processes generated by random substitutions over a finite alphabet. We prove, under mild conditions on the substitution's rule, the existence of a unique process which remains invariant under the…

数学物理 · 物理学 2018-04-04 Cesar Maldonado , Liliana Trejo-Valencia , Edgardo Ugalde

The intrinsic stochasticity of gene expression can give rise to large fluctuations and rare events that drive phenotypic variation in a population of genetically identical cells. Characterizing the fluctuations that give rise to such rare…

统计力学 · 物理学 2017-05-24 Jordan M. Horowitz , Rahul V. Kulkarni

The problem of behaviour prediction for linear parameter-varying systems is considered in the interval framework. It is assumed that the system is subject to uncertain inputs and the vector of scheduling parameters is unmeasurable, but all…

系统与控制 · 计算机科学 2019-08-13 Edouard Leurent , Denis Efimov , Tarek Raïssi , Wilfrid Perruquetti

Fixed-time stable dynamical systems are capable of achieving exact convergence to an equilibrium point within a fixed time that is independent of the initial conditions of the system. This property makes them highly appealing for designing…

系统与控制 · 电气工程与系统科学 2025-10-01 Michael Tang , Miroslav Krstic , Jorge Poveda

Markov decision processes (MDP) are a well-established model for sequential decision-making in the presence of probabilities. In robust MDP (RMDP), every action is associated with an uncertainty set of probability distributions, modelling…

人工智能 · 计算机科学 2024-12-16 Tobias Meggendorfer , Maximilian Weininger , Patrick Wienhöft

In Markov Decision Processes (MDPs) with intermittent state information, decision-making becomes challenging due to periods of missing observations. Linear programming (LP) methods can play a crucial role in solving MDPs, in particular,…

最优化与控制 · 数学 2025-09-09 Konstantin Avrachenkov , Madhu Dhiman , Veeraruna Kavitha

We carry out a delay stability analysis (i.e., determine conditions under which expected steady-state delays at a queue are finite) for a simple 3-queue system operated under the Max-Weight scheduling policy, for the case where one of the…

系统与控制 · 计算机科学 2012-07-25 Mihalis G. Markakis , Eytan Modiano , John N. Tsitsiklis

In this paper, we focus on the performance analysis of a semi-persistent scheduling scheme for vehicular safety communications, motivated by the Mode 4 medium access control protocol in 3GPP Release 14 for Cellular-V2X. An analytical model…

网络与互联网体系结构 · 计算机科学 2018-08-30 Xu Wang , Randall A. Berry , Ivan Vukovic , Jayanthi Rao

The standard Markov Decision Process (MDP) formulation hinges on the assumption that an action is executed immediately after it was chosen. However, assuming it is often unrealistic and can lead to catastrophic failures in applications such…

机器学习 · 计算机科学 2023-12-14 Esther Derman , Gal Dalal , Shie Mannor

Intermittent large amplitude events are seen in the temporal evolution of a state variable of many dynamical systems. Such intermittent large events suddenly start appearing in dynamical systems at a critical value of a system parameter and…

In realistic pursuit-evasion scenarios, abrupt target maneuvers generate unavoidable periods of elevated uncertainty that result in estimation delays. Such delays can degrade interception performance to the point of causing a miss. Existing…

系统与控制 · 电气工程与系统科学 2026-05-11 Liraz Mudrik , Yaakov Oshman

Today's complex robotic designs comprise in some cases a large number of degrees of freedom, enabling for multi-objective task resolution (e.g., humanoid robots or aerial manipulators). This paper tackles the stability problem of a…

Piecewise-deterministic Markov processes (PDMPs) offer a powerful stochastic modeling framework that combines deterministic trajectories with random perturbations at random times. Estimating their local characteristics (particularly the…

统计方法学 · 统计学 2025-12-29 Romain Azaïs , Solune Denis

Deep Markov models (DMM) are generative models that are scalable and expressive generalization of Markov models for representation, learning, and inference problems. However, the fundamental stochastic stability guarantees of such models…

机器学习 · 计算机科学 2021-11-09 Ján Drgoňa , Sayak Mukherjee , Jiaxin Zhang , Frank Liu , Mahantesh Halappanavar

We study the stability of unstable steady states in scalar retarded time-delayed systems subjected to a variable-delay feedback control. The important aspect of such a control problem is that time-delayed systems are already…

混沌动力学 · 物理学 2010-07-08 Aleksandar Gjurchinovski , Viktor Urumov

Multistate Markov models are a canonical parametric approach for data modeling of observed or latent stochastic processes supported on a finite state space. Continuous-time Markov processes describe data that are observed irregularly over…

The stability analysis of synchronization patterns on generalized network structures is of immense importance nowadays. In this article, we scrutinize the stability of intralayer synchronous state in temporal multilayer hypernetworks, where…

混沌动力学 · 物理学 2022-03-16 Md Sayeed Anwar , Sarbendu Rakshit , Dibakar Ghosh , Erik M. Bollt