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In this paper, controllability of undirected networked systems with {diffusively coupled subsystems} is considered, where each subsystem is of {identically {\emph{fixed}}} general high-order single-input-multi-output dynamics. The…

系统与控制 · 电气工程与系统科学 2020-04-21 Yuan Zhang , Yuanqing Xia , Han Gao , Guangchen Zhang

For linear control systems with bounded control range, chain controllability properties are analyzed. It is shown that there exists a unique chain control set and that it equals the sum of the control set around the origin and the center…

最优化与控制 · 数学 2025-08-19 Fritz Colonius , Alexandre J. Santana , Eduardo C. Viscovini

We consider the failure of localized control in a nonlinear spatially extended system caused by extremely small amounts of noise. It is shown that this failure occurs as a result of a nonlinear instability. Nonlinear instabilities can occur…

斑图形成与孤子 · 物理学 2009-11-07 Roman O. Grigoriev , Andreas Handel

In this paper, we study uniform ensemble controllability (UEC) of linear ensemble systems defined in an infinite-dimensional space through finite-dimensional settings. Specifically, with the help of the Stone-Weierstrass theorem for…

最优化与控制 · 数学 2021-12-30 Wei Miao , Gong Cheng , Jr-Shin Li

Robust control theory has been successfully applied to numerous real-world problems using a small set of devices called {\it controllers}. However, the real systems represented by networks contain unreliable components and modern robust…

物理与社会 · 物理学 2015-06-23 Jose C. Nacher , Tatsuya Akutsu

A joint characterisation of the observability and controllability of a particular kind of discrete system has been developed. The key idea of the procedure can be reduced to a correct choice of the sampling sequence. This freedom, owing to…

离散数学 · 计算机科学 2010-06-23 Amparo Fúster-Sabater , J. M. Guillén

This paper investigates the robustness of strong structural controllability for linear time-invariant and linear time-varying directed networks with respect to structural perturbations, including edge deletions and additions. In this…

动力系统 · 数学 2020-05-26 Shima Sadat Mousavi , Mohammad Haeri , Mehran Mesbahi

We introduce the concept of $\epsilon$-uncontrollability for random linear systems, i.e. linear system in which the usual matrices have been replaced by random matrices. We also estimate the $\epsilon$-uncontrollability in the case where…

动力系统 · 数学 2020-11-24 John Leventides , Nick Poulios , Costas Poulios

For linear infinite systems the approximate controllability problem by control constraints is considered. Controllability conditions represented via system parameters are obtained. Partial differential control systems and control systems…

solv-int · 物理学 2008-02-03 B. Shklyar

This paper is devoted to a study of linear, differential and topological classifications for linear controlled systems governed by ordinary differential equations. The necessary and sufficient conditions for the linear and topological…

最优化与控制 · 数学 2008-07-30 Jing Li

This paper introduces a new controllability notion, termed partial strong structural controllability (PSSC), on a structured system whose entries of system matrices are either fixed zero or indeterminate, which naturally extends the…

系统与控制 · 电气工程与系统科学 2021-11-08 Yuan Zhang , Yuanqing Xia

We study the notion of structured realizability for linear systems defined over graphs. A stabilizable and detectable realization is structured if the state-space matrices inherit the sparsity pattern of the adjacency matrix of the…

系统与控制 · 计算机科学 2012-12-11 Laurent Lessard , Maxim Kristalny , Anders Rantzer

The goal of this article is to discuss controllability properties for an abstract linear system of the form $y' = Ay + Bu$ under some additional linear projection constraints on the control $u$ or / and on the controlled trajectory $y$. In…

偏微分方程分析 · 数学 2020-12-14 Sylvain Ervedoza

The duality between controllability and observability enables methods developed for full-state control to be applied to full-state estimation, and vice versa. In applications in which control or estimation of all state variables is…

系统与控制 · 电气工程与系统科学 2023-09-26 Arthur N. Montanari , Chao Duan , Adilson E. Motter

The objective of this paper is to study the controllability of discrete-time linear control systems in solvable Lie groups. In the special case of nilpotent Lie groups, a necessary and sufficient condition for controllability is…

最优化与控制 · 数学 2024-06-11 Thiago Cavalheiro , Alexandre Santana , João Cossich , Victor Ayala

In mathematics and engineering, control theory is concerned with the analysis of dynamical systems through the application of suitable control inputs. One of the prominent problems in control theory is controllability which concerns the…

元胞自动机与格子气 · 物理学 2026-04-14 Franco Bagnoli , Sara Dridi , Bassem Sellami , Amira Mouakher , Samira El Yacoubi

Linear systems on Lie groups are a natural generalization of linear system on Euclidian spaces. For such systems, this paper studies controllability by taking in consideration the eigenvalues of an associated derivation D. When the state…

最优化与控制 · 数学 2016-01-05 Adriano Da Silva

Amorphous particulate matter constitutes a wide range of natural and synthetic materials. Despite this ubiquity, the way in which these systems' disordered microstructure couples to their often subtle and complex dynamical behavior is not…

软凝聚态物质 · 物理学 2026-03-09 Erin G. Teich , Jason Z. Kim , Dani S. Bassett

Ensemble control deals with the problem of using a finite number of control inputs to simultaneously steer a large population (in the limit, a continuum) of control systems. Dual to the ensemble control problem, ensemble estimation deals…

系统与控制 · 计算机科学 2019-05-02 Xudong Chen

The article addresses the problem of strong structural controllability of structured networks with multi-input multi-output (MIMO) node systems. The authors first present necessary and sufficient conditions for strong structural…

系统与控制 · 电气工程与系统科学 2023-05-19 Yanting Ni , Xuyang Lou , Junjie Jiao , Jiajia Jia