We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A Generalization of Routh–Hurwitz Stability Criterion for Fractional-Order Systems with Order α ∈ (1, 2).
- Authors
Yang, Jing; Hou, Xiaorong; Li, Yajun
- Abstract
Based on the generalized Routh–Hurwitz criterion, we propose a sufficient and necessary criterion for testing the stability of fractional-order linear systems with order α ∈ 1 , 2 , called the fractional-order Routh–Hurwitz criterion. Compared with the existing criterion, ours involves fewer and simpler expressions, which is significant for analyzing the robust stability of high-dimensional uncertain systems. All these expressions are explicit ones about the coefficients of the characteristic polynomial of the system matrix, so the stable parameter region of fractional-order systems can be described directly. Some examples show the effectiveness of our method.
- Subjects
STABILITY criterion; STABILITY of linear systems; LINEAR orderings; GENERALIZATION
- Publication
Fractal & Fractional, 2022, Vol 6, Issue 10, pN.PAG
- ISSN
2504-3110
- Publication type
Article
- DOI
10.3390/fractalfract6100557