Recent Advances in Positive Networked Systems

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E2: Control Theory and Mechanics".

Deadline for manuscript submissions: 1 April 2026 | Viewed by 143

Special Issue Editors


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Guest Editor
Department of Mechanical Engineering, University of Hong Kong, Hong Kong 999077, China
Interests: positive systems; switched systems; multi-agent systems; optimal control

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Guest Editor
School of Intelligent Science and Engineering, Harbin Institute of Technology, Shenzhen 518055, China
Interests: control systems; intelligent systems; cyber-physical systems

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Guest Editor
Department of Rehabilitation Sciences, The Hong Kong Polytechnic University, Hong Kong 999077, China
Interests: asynchronous control; periodic piecewise linear systems; safe control; event-triggered control

Special Issue Information

Dear Colleagues,

Networked systems refer to interconnected systems that work together to achieve a distributed global goal. Examples can be found in various areas, including population models, epidemic networks, and transportation networks. However, the potential for analyzing networked systems has not been fully realized. Specifically, the positivity of the state, which is an inherent characteristic for certain practical variables in networked systems, such as traffic flows and infected populations, has been largely overlooked in most existing works on these systems. Given their wide range of applications, it is crucial to analyze these kinds of systems. Additionally, instinctively, obtaining more information about states leads to less conservative performance characterization and more effective control schemes. Motivated by this idea, this Special Issue aims to present research on the recent advances in positive networked systems.

Dr. Bohao Zhu
Prof. Dr. Xiaochen Xie
Dr. Chenchen Fan
Guest Editors

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Keywords

  • buffer network
  • controllability
  • large-scale network
  • multi-agent systems
  • networked systems
  • optimization
  • positive systems

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Published Papers (1 paper)

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Research

12 pages, 406 KB  
Article
Stability of Discrete-Time Neutral Systems with Discrete and Distributed Delays: A Delay Decomposition Approach
by Ahmed Hmimid, Mohamed Ouahi and Fernando Tadeo
Mathematics 2026, 14(3), 390; https://doi.org/10.3390/math14030390 - 23 Jan 2026
Abstract
A stability analysis of linear discrete-time neutral systems with both discrete and distributed delays is examined. To address this problem with accuracy, Lyapunov–Krasovskii candidates (LKCs) are formulated by heterogeneously splitting the whole delay interval into various parts; then, each part is assigned functionals [...] Read more.
A stability analysis of linear discrete-time neutral systems with both discrete and distributed delays is examined. To address this problem with accuracy, Lyapunov–Krasovskii candidates (LKCs) are formulated by heterogeneously splitting the whole delay interval into various parts; then, each part is assigned functionals with different weighting matrices. Then, new stability criteria are established and expressed in the form of linear matrix inequalities (LMIs) by combining a delay decomposition approach with an auxiliary function-based summation inequality method. These criteria provide a computationally efficient framework. Finally, several numerical examples are presented to confirm the validity and expanded feasibility region of our results when compared to existing approaches. Full article
(This article belongs to the Special Issue Recent Advances in Positive Networked Systems)
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