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This paper examines the structural controllability for a group of agents, called followers, connected to each other based on the consensus law under commands of multiple leaders, which are agents with superior capabilities, over a fixed…

Systems and Control · Computer Science 2018-03-15 Milad M. Kazemi , Mohsen Zamani , Zhiyong Chen

One version of the concept of structural controllability defined for single-input systems by Lin and subsequently generalized to multi-input systems by others, states that a parameterized matrix pair $(A, B)$ whose nonzero entries are…

Systems and Control · Computer Science 2019-11-12 Fengjiao Liu , A. Stephen Morse

Controlling complex networked systems to a desired state is a key research goal in contemporary science. Despite recent advances in studying the impact of network topology on controllability, a comprehensive understanding of the synergistic…

Optimization and Control · Mathematics 2014-08-04 Chen Zhao , Wen-Xu Wang , Yang-Yu Liu , Jean-Jacques Slotine

Within the context of structured networks, this paper introduces the concept of the Fixed Strongly Structurally Controllable Subspace (FSSCS), enabling a comprehensive characterization of controllable subspaces. From a graph-theoretical…

Algebraic Topology · Mathematics 2025-01-14 Nam-Jin Park , Yeong-Ung Kim , Koog-Hwan Oh , Hyo-Sung Ahn

Temporal networks are a class of time-varying networks, which change their topology according to a given time-ordered sequence of static networks (known as subsystems). This paper investigates the reachability and controllability of…

Systems and Control · Electrical Eng. & Systems 2024-05-27 Yuan Zhang , Yuanqing Xia , Long Wang

This letter examines the controllability of consensus dynamics on matrix-weighed networks from a graph-theoretic perspective. Unlike the scalar-weighted networks, the rank of weight matrix introduces additional intricacies into…

Systems and Control · Electrical Eng. & Systems 2020-01-14 Lulu Pan , Haibin Shao , Mehran Mesbahi , Yugeng Xi , Dewei Li

This paper extends previous identification method to the asynchronous sampling scenario, enabling the simultaneous handling of asynchronous, non-uniform, and slow-rate sampling conditions. Moving beyond lumped systems, the proposed…

Systems and Control · Electrical Eng. & Systems 2026-02-05 Yunxiang Ma , Tong Zhou

In this paper, we consider composite networks formed from the Kronecker product of smaller networks. We find the observability and controllability properties of the product network from those of its constituent smaller networks. The overall…

Systems and Control · Electrical Eng. & Systems 2019-12-10 Mohammadreza Doostmohammadian , Usman A. Khan

The control of complex systems is an ongoing challenge of complexity research. Recent advances using concepts of structural control deduce a wide range of control related properties from the network representation of complex systems. Here,…

Statistical Mechanics · Physics 2013-12-31 Márton Pósfai , Philipp Hövel

A Network Control System (NCS) consists of control components that interact with the plant over a shared network. The system dynamics of a NCS could be subject to noise arising from randomness in the times at which the data is transmitted…

Systems and Control · Computer Science 2017-04-04 Mohammad Soltani , Abhyudai Singh

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…

Dynamical Systems · Mathematics 2020-05-26 Shima Sadat Mousavi , Mohammad Haeri , Mehran Mesbahi

Influence diagram is a graphical representation of belief networks with uncertainty. This article studies the structural properties of a probabilistic model in an influence diagram. In particular, structural controllability theorems and…

Artificial Intelligence · Computer Science 2013-03-25 Brian Y. Chan , Ross D. Shachter

Complex dynamical systems are prevalent in various domains, but their analysis and prediction are hindered by their high dimensionality and nonlinearity. Dimensionality reduction techniques can simplify the system dynamics by reducing the…

Dynamical Systems · Mathematics 2023-11-28 Chengyi Tu , Ying Fan , Tianyu Shi

Controllability of multi-agent systems is determined by the interconnection topologies. In practice, losing agents can change the topologies of multi-agent systems, which may affect the controllability. This paper studies non-fragility of…

Systems and Control · Computer Science 2016-07-27 Bin Zhao , Yongqiang Guan , Long Wang

The relation between network structure and dynamics is determinant for the behavior of complex systems in numerous domains. An important long-standing problem concerns the properties of the networks that optimize the dynamics with respect…

Adaptation and Self-Organizing Systems · Physics 2017-12-07 Takashi Nishikawa , Jie Sun , Adilson E. Motter

Nonlinear networked systems are of interest in several areas of research, such as multi-agent systems and social networks. In this paper, we examine the controllability of several classes of nonlinear networked dynamics on which the…

Optimization and Control · Mathematics 2017-09-21 Mathias Hudoba de Badyn , Siavash Alemzadeh , Mehran Mesbahi

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…

Systems and Control · Electrical Eng. & Systems 2023-05-19 Yanting Ni , Xuyang Lou , Junjie Jiao , Jiajia Jia

Despite the significant advances in identifying the driver nodes and energy requiring in network control, a framework that incorporates more complicated dynamics remains challenging. Here, we consider the conformity behavior into network…

Physics and Society · Physics 2022-01-26 Zu-Yu Qian , Cheng Yuan , Jie Zhou , Shi-Ming Chen , Sen Nie

Network controllability is a powerful tool to study causal relationships in complex systems and identify the driver nodes for steering the network dynamics into desired states. However, due to ill-posed conditions, results become unreliable…

Controlling complex networks is of paramount importance in science and engineering. Despite the recent development of structural-controllability theory, we continue to lack a framework to control undirected complex networks, especially…

Physics and Society · Physics 2013-10-23 Zhengzhong Yuan , Chen Zhao , Zengru Di , Wen-Xu Wang , Ying-Cheng Lai