Positivity and Stability Analysis of T-S Fuzzy Descriptor Systems With Bounded and Unbounded Time-Varying Delays. Academic Article

abstract

• This work focuses on the stability analysis of positive Takagi-Sugeno (T-S) fuzzy descriptor systems with time-varying delays. An equivalent augmented system is constructed to investigate the positivity and stability of T-S fuzzy descriptor time-delay systems. By using this transformed system, a necessary and sufficient positivity condition is first derived for systems, which can be verified by linear programming (LP). Then, based on the positivity of T-S fuzzy descriptor systems, a sufficient condition is put forward for the asymptotic stability of systems with bounded and unbounded time-varying delays. Finally, several examples are provided to show the effectiveness of the obtained results.

authors

• Huang, Tingwen

published proceedings

• IEEE Trans Cybern

author list (cited authors)

• Cui, Y., Feng, H., Zhang, W., Shu, Z., & Huang, T.

citation count

• 6

complete list of authors

• Cui, Yukang||Feng, Hao||Zhang, Wei||Shu, Zhan||Huang, Tingwen

publication date

• November 2022

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE TRANSACTIONS ON CYBERNETICS  Journal

keywords

• Algorithms
• Fuzzy Logic

PubMed Central ID

• 34029203

Digital Object Identifier (DOI)

• 10.1109/TCYB.2021.3072392

start page

• 11649

end page

• 11660

volume

• 52

issue

• 11

URL

• http://dx.doi.org/10.1109/tcyb.2021.3072392