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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

This paper studies the controllability backbone problem in dynamical networks defined over graphs. The main idea of the controllability backbone is to identify a small subset of edges in a given network such that any subnetwork containing…

系统与控制 · 电气工程与系统科学 2023-09-07 Obaid Ullah Ahmad , Waseem Abbas , Mudassir Shabbir

Various controllability conditions have been obtained by researchers for heterogeneous networked systems with linear dynamics. However, the literature for nonlinear, heterogeneous networked systems is comparatively less. In this paper we…

最优化与控制 · 数学 2024-12-18 Aleena Thomas , Abhijith Ajayakumar , Raju K. George

In this paper, structural controllability of a leader-follower multi-agent system with multiple leaders is studied from a graph-theoretic point of view. The problem of preservation of structural controllability under simultaneous failures…

系统与控制 · 计算机科学 2016-12-01 M. Amin Rahimian , Amir G. Aghdam

According to the exact controllability theory, the controllability is investigated analytically for two typical types of self-similar bipartite networks, i.e., the classic deterministic scale-free networks and Cayley trees. Due to their…

物理与社会 · 物理学 2015-07-02 Ming Xu , Chuan-Yun Xu , Huan Wang , Cong-Zheng Deng , Ke-Fei Cao

In this paper some results about the controllability of spectral centrality in a complex network are presented. In particular, the inverse problem of designing an unweigthed graph with a prescribed centrality is considered, by showing that…

物理与社会 · 物理学 2022-11-23 Esther Garcia , Miguel Romance

We consider a general class of stochastic networks and ask which network nodes need to be controlled, and how, to stabilize and switch between desired metastable (target) states in terms of the first and second statistical moments of the…

适应与自组织系统 · 物理学 2016-07-20 Dmytro Bielievtsov , Josef Ladenbauer , Klaus Obermayer

The controllability of networked sampled-data systems with zero-order holders on the control and transmission channels is explored, where single- and multi-rate sampling patterns are considered, respectively. The effects of sampling on the…

系统与控制 · 电气工程与系统科学 2023-02-28 Zixuan Yang , Xiaofan Wang , Lin Wang

This paper considers the fixed-time control problem of a multi-agent system composed of a class of Euler-Lagrange dynamics with parametric uncertainty and a dynamic leader under a directed communication network. A distributed fixed-time…

最优化与控制 · 数学 2022-02-17 Yi Dong , Zhiyong Chen

In this paper, we study the concept of approximate controllability of retarded network systems of neutral type. On one hand, we reformulate such systems as free-delay boundary control systems on product spaces. On the other hand, we use the…

最优化与控制 · 数学 2021-01-14 Yassine El Gantouh , Said Hadd

The human brain displays rich communication dynamics that are thought to be particularly well-reflected in its marked community structure. Yet, the precise relationship between community structure in structural brain networks and the…

神经元与认知 · 定量生物学 2020-12-23 Shubhankar P. Patankar , Jason Z. Kim , Fabio Pasqualetti , Danielle S. Bassett

This paper proposes a notion termed perturbation-tolerant structural controllability (PTSC) to study the generic property of controllability preservation/resilience of structured linear systems under structured perturbations. A structured…

最优化与控制 · 数学 2024-02-13 Yuan Zhang , Yuanqing Xia , Gang Wang , Jinhui Zhang

In this paper, we consider the problem of tuning the edge weights of a networked system described by linear time-invariant dynamics. We assume that the topology of the underlying network is fixed and that the set of feasible edge weights is…

最优化与控制 · 数学 2020-01-07 Cassiano O. Becker , Sérgio Pequito , George J. Pappas , Victor M. Preciado

The paper continues the authors' study of the linearizability problem for nonlinear control systems. In the recent work [K. Sklyar, Systems Control Lett. 134 (2019), 104572], conditions on mappability of a nonlinear control system to a…

最优化与控制 · 数学 2021-01-26 Katerina V. Sklyar , Svetlana Yu. Ignatovich

In this paper, we study graphical conditions for structural controllability and accessibility of drifted bilinear systems over Lie groups. We consider a bilinear control system with drift and controlled terms that evolves over the special…

最优化与控制 · 数学 2021-03-25 Xing Wang , Bo Li , Jr-Shin Li , Ian R. Petersen , Guodong Shi

In this Letter we propose a method to control a set of arbitrary nodes in a directed network such that they follow a synchronous trajectory which is, in general, not shared by the other units of the network. The problem is inspired to those…

混沌动力学 · 物理学 2021-01-19 Bruno Ursino , Lucia Valentina Gambuzza , Vito Latora , Mattia Frasca

Liu et al recently proposed a minimum number of driver nodes needed to obtain full structural controllability over a directed network. Driver nodes are unmatched nodes, from which there are directed paths to all matched nodes. Their most…

物理与社会 · 物理学 2012-09-18 Soumya Jyoti Banerjee , Soumen Roy

Event-triggered networked control of a linear dynamical system is investigated. Specifically, the dynamical system and the controller are assumed to be connected through a communication channel. State and control input information packets…

系统与控制 · 计算机科学 2016-03-16 Ahmet Cetinkaya , Hideaki Ishii , Tomohisa Hayakawa

Structural controllability challenges arise from imprecise system modeling and system interconnections in large scale systems. In this paper, we study structural control of bilinear systems on the special Euclidean group. We employ graph…

最优化与控制 · 数学 2024-06-18 A. Sanand Amita Dilip , Chirayu D. Athalye

In this paper, given a linear time-invariant strongly connected network, we study the problem of determining the minimum number of state variables that need to be simultaneously actuated and measured to ensure structural controllability and…

最优化与控制 · 数学 2021-11-29 Guilherme Ramos , A. Pedro Aguiar , Sérgio Pequito