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We study a network of coupled logistic maps whose interactions occur with a certain distribution of delay times. The local dynamics is chaotic in the absence of coupling and thus the network is a paradigm of a complex system. There are two…

混沌动力学 · 物理学 2009-02-03 Marcelo Ponce , C. Masoller , Arturo C. Marti

Discrete-time systems under aperiodic sampling may serve as a modeling abstraction for a multitude of problems arising in cyber-physical and networked control systems. Recently, model- and data-based stability conditions for such systems…

系统与控制 · 电气工程与系统科学 2021-10-28 Stefan Wildhagen , Julian Berberich , Matthias Hirche , Frank Allgöwer

Robustness of decision rules to shifts in the data-generating process is crucial to the successful deployment of decision-making systems. Such shifts can be viewed as interventions on a causal graph, which capture (possibly hypothetical)…

人工智能 · 计算机科学 2021-05-20 Benjie Wang , Clare Lyle , Marta Kwiatkowska

This paper considers the distributed consensus problem of linear multi-agent systems subject to different matching uncertainties for both the cases without and with a leader of bounded unknown control input. Due to the existence of…

最优化与控制 · 数学 2013-12-31 Zhongkui Li , Zhisheng Duan , Frank Lewis

This paper addresses the distributed consensus protocol design problem for multi-agent systems with general linear dynamics and directed communication graphs. Existing works usually design consensus protocols using the smallest real part of…

最优化与控制 · 数学 2016-11-15 Zhongkui Li , Guanghui Wen , Zhisheng Duan , Wei Ren

This thesis addresses the question of stability of systems defined by differential equations which contain nonlinearity and delay. In particular, we analyze the stability of a well-known delayed nonlinear implementation of a certain…

动力系统 · 数学 2007-05-23 Matthew M. Peet

The stability of interconnected linear time-invariant systems using singular values and the small gain theorem has been studied for many decades. The methods of mu-analysis and synthesis has been extensively developed to provide robustness…

系统与控制 · 电气工程与系统科学 2024-12-19 Luke Woolcock , Robert Schmid

In this paper, we study networks of discrete-time linear time-invariant subsystems. Our focus is on situations where subsystems are connected to each other through a time-invariant topology and where there exists a base-station whose aim is…

系统与控制 · 计算机科学 2015-05-27 Mohsen Zamani , Brett Ninness , Daniel Quevedo

We live in a world increasingly dominated by networks -- communications, social, information, biological etc. A central attribute of many of these networks is that they are dynamic, that is, they exhibit structural changes over time. While…

网络与互联网体系结构 · 计算机科学 2010-12-02 Prithwish Basu , Amotz Bar-Noy , Ram Ramanathan , Matthew P. Johnson

A notion of disturbance propagation stability is defined for dynamical network processes, in terms of decrescence of an input-output energy metric along cutsets away from the disturbance source. A characterization of the disturbance…

系统与控制 · 电气工程与系统科学 2022-10-11 Sandip Roy , Subir Sarker , Mengran Xue

We will present a new general framework for robust and adaptive control that allows for distributed and scalable learning and control of large systems of interconnected linear subsystems. The control method is demonstrated for a linear…

系统与控制 · 计算机科学 2019-04-02 Dimitar Ho , John C. Doyle

This paper presents Learning-based Autonomous Guidance with RObustness and Stability guarantees (LAG-ROS), which provides machine learning-based nonlinear motion planners with formal robustness and stability guarantees, by designing a…

机器人学 · 计算机科学 2021-10-05 Hiroyasu Tsukamoto , Soon-Jo Chung

We study online control of an unknown nonlinear dynamical system that is approximated by a time-invariant linear system with model misspecification. Our study focuses on robustness, a measure of how much deviation from the assumed linear…

最优化与控制 · 数学 2022-04-06 Xinyi Chen , Udaya Ghai , Elad Hazan , Alexandre Megretski

Networks are a widely used and efficient paradigm to model real-world systems where basic units interact pairwise. Many body interactions are often at play, and cannot be modelled by resorting to binary exchanges. In this work, we consider…

适应与自组织系统 · 物理学 2020-06-03 Timoteo Carletti , Duccio Fanelli , Sara Nicoletti

A key property for systems subject to uncertainty in their operating environment is robustness, ensuring that unmodelled, but bounded, disturbances have only a proportionally bounded effect upon the behaviours of the system. Inspired by…

系统与控制 · 计算机科学 2011-08-24 Rupak Majumdar , Elaine Render , Paulo Tabuada

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,…

动力系统 · 数学 2022-03-08 Nguyen Khoa Son , Le Van Ngoc

We propose an axiomatic approach for design and performance analysis of noisy linear consensus networks by introducing a notion of systemic performance measure. This class of measures are spectral functions of Laplacian eigenvalues of the…

最优化与控制 · 数学 2017-06-27 Milad Siami , Nader Motee

One approach to robust control for linear plants with structured uncertainty as well as for linear parameter-varying (LPV) plants (where the controller has on-line access to the varying plant parameters) is through…

最优化与控制 · 数学 2008-08-20 J. A. Ball , Q. Fang , G. J. Groenewald , S. ter Horst

Linear stability of synchronized states in networks of delay-coupled oscillators depends on the type of interaction, the network and oscillator properties. For inert oscillator response, found ubiquitously from biology to engineering,…

适应与自组织系统 · 物理学 2022-02-02 Dimitrios Prousalis , Lucas Wetzel

For the class of noisy time-delay linear consensus networks, we obtain explicit formulas for risk of large fluctuations of a scalar observable as a function of Laplacian spectrum and its eigenvectors. It is shown that there is an intrinsic…

系统与控制 · 计算机科学 2018-09-25 Christoforos Somarakis , Yaser Ghaedsharaf , Nader Motee