Open AccessOn robust stability of switched homogeneous systems
Author(s) -
Yang Hao,
Zhao Dong,
Jiang Bin,
Ding Shihong
Publication year - 2021
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/cth2.12076
Subject(s) - control theory (sociology) , homogeneous , stability (learning theory) , domain (mathematical analysis) , attraction , class (philosophy) , relation (database) , mathematics , computer science , control (management) , mathematical analysis , artificial intelligence , combinatorics , machine learning , linguistics , philosophy , database
This paper analyses the robust stability of a class of homogeneous systems where a relation among the high‐order term, the decay rate and the domain of attraction of the system is explicitly established. Such a new observation helps to establish several robust stability conditions for switched homogeneous systems with high‐order terms. Several domains of attraction related to asymptotical and finite‐time stability properties are also provided. The new results are further applied to supervisory control of spacecraft attitude system with high‐order uncertainties to illustrate their efficiency and applicability.