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Robustness is a basic property of any control system. In the context of linear output regulation, it was proved that embedding an internal model of the exogenous signals is necessary and sufficient to achieve tracking of the desired…

系统与控制 · 电气工程与系统科学 2021-04-23 Michelangelo Bin , Daniele Astolfi , Lorenzo Marconi

This paper studies global and semi-global regulated state synchronization of homogeneous networks of non-introspective agents in presence of input saturation based on additional information exchange where the reference trajectory is given…

系统与控制 · 电气工程与系统科学 2020-01-06 Zhenwei Liu , Ali Saberi , Anton A. Stoorvogel , Donya Nojavanzadeh

We provide convex necessary and sufficient conditions for the robust stability of linear positively dominated systems. In particular we show that the structured singular value is always equal to its convex upper bound for nonnegative…

最优化与控制 · 数学 2015-08-21 Marcello Colombino , Roy S. Smith

This paper investigates the fundamental information-theoretic limits for the control and sensing of noiseless linear dynamical systems subject to a broad class of nonlinear observations. We analyze the interactions between the control and…

系统与控制 · 电气工程与系统科学 2026-01-21 Ming Li , Fan Liu , Yifeng Xiong , Jie Xu , Tao Liu

We study the question of existence of positive steady states of nonlinear evolution equations. We recast the steady state equation in the form of eigenvalue problems for a parametrised family of unbounded linear operators, which are…

偏微分方程分析 · 数学 2019-03-25 Àngel Calsina , József Z. Farkas

This paper considers the problem of robust stability for a class of uncertain quantum systems subject to unknown perturbations in the system coupling operator. A general stability result is given for a class of perturbations to the system…

量子物理 · 物理学 2012-08-31 Ian R. Petersen , Valery Ugrinovskii , Matthew R. James

This work aims to propose and design a class of networks of coupled linear and nonlinear oscillators, in which short bursts of exogenous excitation result in sustained endogenous network activity that returns to a quiescent state only after…

动力系统 · 数学 2023-09-07 Yu Mao , Harry Dankowicz

The stability issue emerges as a growing number of diverse power apparatus connecting to the power system. The stability analysis for such power systems is required to adapt to heterogeneity and scalability. This paper derives a local…

系统与控制 · 电气工程与系统科学 2019-08-05 Peng Yang , Feng Liu , Zhaojian Wang , Chen Shen , Jun Yi , Weifang Lin

A decentralized stability criterion is derived for a power system with heterogeneous subsystems. A condition for frequency stability and stability of interarea modes is derived using the generalized Nyquist criterion. The resulting scalable…

系统与控制 · 电气工程与系统科学 2022-06-03 Joakim Björk , Karl Henrik Johansson

This paper proposes decentralized stability conditions for multi-converter systems based on the combination of the small gain theorem and the small phase theorem. Instead of directly computing the closed-loop dynamics, e.g., eigenvalues of…

系统与控制 · 电气工程与系统科学 2024-01-11 Linbin Huang , Dan Wang , Xiongfei Wang , Huanhai Xin , Ping Ju , Karl H. Johansson , Florian Dörfler

We consider a basic model of a dynamical distribution network, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and…

最优化与控制 · 数学 2014-03-21 Jieqiang Wei , Arjan J. van der Schaft

For large classes of infinite-dimensional time-varying control systems, the equivalence between integral input-to-state stability (iISS) and the combination of global uniform asymptotic stability under zero input (0-GUAS) and uniformly…

最优化与控制 · 数学 2022-12-05 José L. Mancilla-Aguilar , José E. Rojas-Ruiz , Hernan Haimovich

The concept of input-to-state stability (ISS) proposed in the late 1980s is one of the central notions in robust nonlinear control. ISS has become indispensable for various branches of nonlinear systems theory, such as robust stabilization…

最优化与控制 · 数学 2024-11-14 Rahma Heni

In this paper we consider switched nonlinear systems under average dwell time switching signals, with an otherwise arbitrary compact index set and with additional constraints in the switchings. We present invariance principles for these…

最优化与控制 · 数学 2009-12-24 J. L. Mancilla-Aguilar , R. A. Garcia

In adaptive dynamical networks, the dynamics of the nodes and the edges influence each other. We show that we can treat such systems as a closed feedback loop between edge and node dynamics. Using recent advances on the stability of…

适应与自组织系统 · 物理学 2024-11-25 Nina Kastendiek , Jakob Niehues , Robin Delabays , Thilo Gross , Frank Hellmann

In this paper, we study finite-time state consensus problems for continuous nonlinear multi-agent systems. Building on the theory of finite-time Lyapunov stability, we propose sufficient criteria which guarantee the system to reach a…

信息论 · 计算机科学 2009-09-18 Yilun Shang

State estimation for a class of linear time-invariant systems with distributed output measurements (distributed sensors) and unknown inputs is addressed in this paper. The objective is to design a network of observers such that the state…

系统与控制 · 电气工程与系统科学 2021-10-12 Guitao Yang , Angelo Barboni , Hamed Rezaee , Thomas Parisini

We consider linear time invariant systems with exogenous stochastic disturbances, and in feedback with structured stochastic uncertainties. This setting encompasses linear systems with both additive and multiplicative noise. Our concern is…

系统与控制 · 计算机科学 2020-04-06 Bassam Bamieh , Maurice Filo

TheL2-gain characterizes a dynamical system's input-output properties, but can be difficult to determine for nonlinear systems. Previous work designed a nonconvex optimization problem to simultaneously search for a continuous piecewise…

最优化与控制 · 数学 2024-10-18 Amy Strong , Reza Lavaei , Leila J. Bridgeman

The emergence of synchronization in a network of coupled oscillators is a fascinating topic in various scientific disciplines. A coupled oscillator network is characterized by a population of heterogeneous oscillators and a graph describing…

最优化与控制 · 数学 2015-06-05 Florian Dörfler , Michael Chertkov , Francesco Bullo
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