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This paper is concerned with the problem of robust reliable control for a class of uncertain 2D discrete switched systems with state delays represented by a model of Roesser type. The parameter uncertainties are assumed to be norm-bounded.…

动力系统 · 数学 2012-10-10 Shipei Huang , Zhengrong Xiang

In this paper, we investigate the controllability of a linear time-invariant network following a Laplacian dynamics defined on a threshold graph. In this direction, an algorithm for deriving the modal matrix associated with the Laplacian…

最优化与控制 · 数学 2019-04-23 Shima Sadat Mousavi , Mohammad Haeri , Mehran Mesbahi

In network theory, a question of prime importance is how to assess network vulnerability in a fast and reliable manner. With this issue in mind, we investigate the response to parameter changes of coupled dynamical systems on complex…

适应与自组织系统 · 物理学 2018-02-27 Melvyn Tyloo , Tommaso Coletta , Philippe Jacquod

In this paper, we consider the robustness of a basic model of a dynamical distribution network. In the first problem, i.e., optimal weight allocation, we minimize the H-inf- norm of the dynamical distribution network subject to allocation…

最优化与控制 · 数学 2018-05-03 Jieqiang Wei , Alexander Johansson , Henrik Sandberg , Karl H. Johansson , Jie Chen

In this paper, we propose a new robust analysis tool motivated by large-scale systems. The H infinity norm of a system measures its robustness by quantifying the worst-case behavior of a system perturbed by a unit-energy disturbance.…

系统与控制 · 计算机科学 2015-07-10 Seungil You , Nikolai Matni

The relationship between network topology and system dynamics has significant implications for unifying our understanding of the interplay among metabolic, gene-regulatory, and ecosystem network architecures. Here we analyze the stability…

种群与进化 · 定量生物学 2015-06-17 Cameron Smith , Raymond S. Puzio , Aviv Bergman

We present a novel approach for the control of uncertain, linear time-invariant systems, which are perturbed by potentially unbounded, additive disturbances. We propose a \emph{doubly robust} data-driven state-feedback controller to ensure…

最优化与控制 · 数学 2024-05-29 Francesco Micheli , Anastasios Tsiamis , John Lygeros

In this paper, we consider the notion of resilience of a dynamical system, defined by the maximum disturbance a controlled dynamical system can withstand while satisfying given temporal logic specifications. Given a dynamical system and a…

系统与控制 · 电气工程与系统科学 2025-09-10 Youssef Ait Si , Ratnangshu Das , Negar Monir , Sadegh Soudjani , Pushpak Jagtap , Adnane Saoud

Recent studies have been using graph theoretical approaches to model complex networks (such as social, infrastructural or biological networks), and how their hardwired circuitry relates to their dynamic evolution in time. Understanding how…

神经元与认知 · 定量生物学 2015-07-17 Anca Radulescu

There is a deep and interesting connection between the topological properties of a graph and the behaviour of the dynamical system defined on it. We analyse various kind of graphs, with different contrasting connectivity or degree…

组合数学 · 数学 2017-05-01 Barbara Giunti , Vincenzo Perri

The elapsed-time model describes the behavior of interconnected neurons through the time since their last spike. It is an age-structured non-linear equation in which age corresponds to the elapsed time since the last discharge, and models…

动力系统 · 数学 2025-04-28 María J. Cáceres , José A Cañizo , Nicolas Torres

In this work, water distribution systems are regarded as large sparse planar graphs with complex network characteristics and the relationship between important topological features of the network (i.e. structural robustness and loop…

物理与社会 · 物理学 2010-09-23 A. Yazdani , P. Jeffrey

This paper addresses the distributed consensus protocol design problem for linear multi-agent systems with directed graphs and external unmatched disturbances. A novel distributed adaptive consensus protocol is proposed to achieve…

系统与控制 · 计算机科学 2015-11-05 Yuezu Lv , Zhongkui Li , Zhisheng Duan , Gang Feng

The dynamic response of power grids to small disturbances influences their overall stability. This paper examines the effect of network topology on the linearized time-invariant dynamics of electric power systems. The proposed framework…

最优化与控制 · 数学 2021-09-14 Siddharth Bhela , Harsha Nagarajan , Deepjyoti Deka , Vassilis Kekatos

We adopt the statistical framework on robustness proposed by Watson and Holmes in 2016 and then tackle the practical challenges that hinder its applicability to network models. The goal is to evaluate how the quality of an inference for a…

统计方法学 · 统计学 2020-12-08 Marios Papamichalis , Simon Lunagomez , Patrick J. Wolfe

We consider the modeling, stability analysis and controller design problems for discrete-time LTI systems with state feedback, when the actuation signal is subject to switching propagation delays, due to e.g. the routing in a multi-hop…

最优化与控制 · 数学 2014-01-09 R. M. Jungers , A. D'Innocenzo , M. D. Di Benedetto

Active agents with time-delayed interactions arise naturally in various real-world systems, such as biological systems, transportation networks and robotic swarms. Such systems are typically modeled as Delay Differential Equations (DDEs)…

动力系统 · 数学 2025-09-03 Yu Wang , Andreas Amann , Jinde Cao , Jürgen Kurths , Serhiy Yanchuk

We investigate the stability of synchronized states in delay-coupled networks where synchronization takes place in groups of different local dynamics or in cluster states in networks with identical local dynamics. Using a master stability…

混沌动力学 · 物理学 2015-06-04 Thomas Dahms , Judith Lehnert , Eckehard Schöll

Robustness to perturbation is a key topic in the study of complex systems occurring across a wide variety of applications from epidemiology to biochemistry. Here we analyze the eigenspectrum of the Jacobian matrices associated to a general…

适应与自组织系统 · 物理学 2025-12-11 Shraosi Dawn , Subrata Ghosh , Chandrakala Meena , Tim Rogers , Chittaranjan Hens

In complex systems (e.g., communication, transportation, and biological networks), high robustness ensures sustained functionality and stability even when resisting attacks. However, the inherent structure complexity and the…

物理与社会 · 物理学 2025-06-13 Xilong Qu , Wenbin Pei , Haifang Li , Qiang Zhang , Bing Xue , Mengjie Zhang