Open AccessSwitching law design for finite‐time stability of singular fractional‐order systems with delay
Author(s) -
Thanh Nguyen T.,
Ngoc Phat Vu
Publication year - 2019
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/iet-cta.2018.5556
Subject(s) - laplace transform , mathematics , control theory (sociology) , stability (learning theory) , impulse (physics) , constructive , linear matrix inequality , regular polygon , mathematical optimization , computer science , mathematical analysis , control (management) , artificial intelligence , machine learning , physics , geometry , process (computing) , quantum mechanics , operating system
In this study, the authors present an analytical approach based on the Laplace transform and ‘inf‐sup’ method for studying the finite‐time stability of singular fractional‐order switched systems with delay. A constructive geometric design for switching laws based on the construction of a partition of the stability state regions in convex cones is proposed. Using the proposed method, new delay‐dependent sufficient conditions for regularity, impulse‐free and finite‐time stability of the system are developed in terms of tractable matrix inequalities and Mittag–Leffler functions. An example is provided to illustrate the effectiveness of the proposed method.