Structural Equilibrium Control of Network Systems

• 成果类型: Article
• 署名作者: Azuma, Shun-ichi
• 署名单位: Nagoya University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3103907
• 发表日期: 2022
• 页码: 3621-3626
• 关键词: Directed graphs; steady-state; licenses; labeling; Knowledge engineering; indexes; asymptotic stability; Equilibrium control; network system; sign-solvable equation; structural design

摘要

During the analysis and design of a network system, a frequently encountered situation is when the network structure is known but the node dynamics is practically unknown. Thus, structural analysis in which the prior knowledge is mostly about the network structure has received attention in recent years. Motivated by this line of research, this article focuses on a structural design problem called the structural equilibrium control problem, which is used to find a sign pattern in the control input such that any constant input with the sign pattern drives the system to a desirable steady state in a qualitative sense. A solution is presented by reducing it to a design problem of the so-called sign-solvable equation, which is a linear equation whose qualitative solution can be determined from the prior knowledge of the sign pattern of the coefficients.