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This paper is concerned with robust instability analysis for linear multi-agent dynamical systems with cyclic structure. This relates to interesting and important periodic oscillation phenomena in biology and neuronal science, since the…

系统与控制 · 电气工程与系统科学 2021-01-28 Shinji Hara , Tetsuya Iwasaki , Yutaka Hori

Reaction networks are commonly used to model the evolution of populations of species subject to transformations following an imposed stoichiometry. This paper focuses on the efficient characterisation of dynamical properties of Discrete…

离散数学 · 计算机科学 2013-07-15 Loïc Paulevé , Gheorghe Craciun , Heinz Koeppl

Robustness to modeling errors and uncertainties remains a central challenge in reinforcement learning (RL). In this work, we address this challenge by leveraging diffusion models to train robust RL policies. Diffusion models have recently…

机器学习 · 计算机科学 2025-12-03 Daniele Foffano , Alessio Russo , Alexandre Proutiere

We consider Activated Random Walk (ARW), a particle system with mass conservation, on the cycle $\mathbb{Z}/n\mathbb{Z}$. One starts with a mass density $\mu>0$ of initially active particles, each of which performs a simple symmetric random…

Molecular computation based on chemical reaction networks (CRNs) has emerged as a promising paradigm for designing programmable biochemical systems. However, the implementation of complex computations still requires excessively large and…

分子网络 · 定量生物学 2025-06-17 Renlei Jiang , Yuzhen Fan , Di Fan , Chuanhou Gao , Denis Dochain

Active matter refers to systems composed of self-propelled entities that consume energy to produce motion, exhibiting complex non-equilibrium dynamics that challenge traditional models. With the rapid advancements in machine learning,…

软凝聚态物质 · 物理学 2025-09-04 Wenjie Cai , Gongyi Wang , Yu Zhang , Xiang Qu , Zihan Huang

Reaction systems are discrete dynamical systems that model biochemical processes in living cells using finite sets of reactants, inhibitors, and products. We investigate the computational complexity of a comprehensive set of problems…

计算复杂性 · 计算机科学 2023-10-31 Rocco Ascone , Giulia Bernardini , Luca Manzoni

We study the set of output stable configurations of chemical reaction deciders (CRDs). It turns out that CRDs with only bimolecular reactions (which are almost equivalent to population protocols) have a special structure that allows for an…

计算复杂性 · 计算机科学 2015-06-16 Robert Brijder

Deep reinforcement learning (DRL) has been successfully used to solve various robotic manipulation tasks. However, most of the existing works do not address the issue of control stability. This is in sharp contrast to the control theory…

机器人学 · 计算机科学 2021-09-28 Shahbaz Abdul Khader , Hang Yin , Pietro Falco , Danica Kragic

We show that the dynamics of a laser driven Rydberg gas in the limit of strong dephasing is described by a master equation with manifest kinetic constraints. The equilibrium state of the system is uncorrelated but the constraints in the…

原子物理 · 物理学 2015-06-16 Igor Lesanovsky , Juan P. Garrahan

Robust header compression (ROHC), critically positioned between the network and the MAC layers, plays an important role in modern wireless communication systems for improving data efficiency. This work investigates bi-directional ROHC…

信号处理 · 电气工程与系统科学 2023-09-26 Shusen Jing , Songyang Zhang , Zhi Ding

This paper addresses a fundamental and important question in control: under what conditions does there fail to exist a robust control policy that keeps the state of a constrained linear system within a target set, despite bounded…

系统与控制 · 电气工程与系统科学 2025-07-08 Paul Trodden , José M. Maestre , Hideaki Ishii

We propose a family of models to study the evolution of ties in a network of interacting agents by reinforcement and penalization of their connections according to certain local laws of interaction. The family of stochastic dynamical…

物理与社会 · 物理学 2016-06-01 Augusto Almeida Santos , Soummya Kar , Ramayya Krishnan , José M. F. Moura

An algorithm is given in this paper for the computation of dynamically equivalent weakly reversible realizations with the maximal number of reactions, for chemical reaction networks (CRNs) with mass action kinetics. The original problem…

动力系统 · 数学 2011-07-05 Gabor Szederkenyi , Katalin M. Hangos , Zsolt Tuza

The study of dynamical systems on complex networks is of paramount importance in engineering, given that many natural and artificial systems find a natural embedding on discrete topologies. For instance, power grids, chemical reactors and…

最优化与控制 · 数学 2024-04-26 Riccardo Muolo , Anthony Hastir , Hiroya Nakao

A suboptimal active disturbance rejection controller (S-ADRC) is proposed for second-order systems with unknown time-varying nonlinear dynamics. The output-feedback controller guarantees a global convergence to the vicinity of an optimal…

最优化与控制 · 数学 2022-06-22 Amir Shakouri , M. Reza Emami

The asymptotic properties of some Markov processes associated to stochastic chemical reaction networks (CRNs) driven by the kinetics of the law of mass action are analyzed. The scaling regime introduced in the paper assumes that the norm of…

概率论 · 数学 2025-12-18 Lucie Laurence , Philippe Robert

In standard Reinforcement Learning (RL) settings, the interaction between the agent and the environment is typically modeled as a Markov Decision Process (MDP), which assumes that the agent observes the system state instantaneously, selects…

机器学习 · 计算机科学 2025-06-18 John Wikman , Alexandre Proutiere , David Broman

Robust Reinforcement Learning aims to find the optimal policy with some extent of robustness to environmental dynamics. Existing learning algorithms usually enable the robustness through disturbing the current state or simulating…

机器学习 · 计算机科学 2020-06-02 Linfang Hou , Liang Pang , Xin Hong , Yanyan Lan , Zhiming Ma , Dawei Yin

Certain chemical reaction networks (CRNs) when modeled as a deterministic dynamical system taken with mass-action kinetics have the property of reaction network detailed balance (RNDB) which is achieved by imposing network-related…

概率论 · 数学 2014-12-30 Badal Joshi