Matušů Radek, Şenol Bilal, Pekař Libor
Centre for Security, Information and Advanced Technologies (CEBIA-Tech), Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic.
Department of Computer Engineering, Faculty of Engineering, Inonu University, Malatya, Turkey.
PLoS One. 2017 Jun 29;12(6):e0180274. doi: 10.1371/journal.pone.0180274. eCollection 2017.
The main aim of this article is to present a graphical approach to robust stability analysis for families of fractional order (quasi-)polynomials with complicated uncertainty structure. More specifically, the work emphasizes the multilinear, polynomial and general structures of uncertainty and, moreover, the retarded quasi-polynomials with parametric uncertainty are studied. Since the families with these complex uncertainty structures suffer from the lack of analytical tools, their robust stability is investigated by numerical calculation and depiction of the value sets and subsequent application of the zero exclusion condition.
本文的主要目的是提出一种图形化方法，用于对具有复杂不确定性结构的分数阶（准）多项式族进行鲁棒稳定性分析。更具体地说，这项工作强调了不确定性的多线性、多项式和一般结构，此外，还研究了具有参数不确定性的时滞准多项式。由于具有这些复杂不确定性结构的族缺乏分析工具，因此通过数值计算和值集的描绘以及零排除条件的后续应用来研究它们的鲁棒稳定性。
