Aizerman Conjectures for a Class of Multivariate Positive Systems

• 成果类型: Article
• 署名作者: Drummond, Ross; Guiver, Chris; Turner, Matthew C.
• 署名单位: University of Sheffield; Edinburgh Napier University; University of Southampton
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3217740
• 发表日期: 2023
• 页码: 5073-5080
• 关键词: Aizerman conjectures; absolute stability theory; positive systems theory

摘要

The Aizerman conjecture predicts stability for a class of nonlinear control systems on the basis of linear system stability analysis. The conjecture is known to be false in general. Here, a number of Aizerman conjectures are shown to be true for a class of internally positive multivariate systems, under a natural generalization of the classical sector condition and, moreover, guarantee positivity in closed loop. These results are stronger and/or more general than existing results. This article relates the obtained results to other, diverse, results in the literature.