@inproceedings{59079bbfc4c24c6883e1a03c8cf8dd3a,
title = "Stability analysis of discrete T-S fuzzy systems",
abstract = "Based on the properties of fuzzy systems with two-overlapped fuzzy partition inputs, the stability analysis of discrete T-S fuzzy systems is discussed. First, a new piecewise discrete Lyapunov function is constructed in maximal overlapped-rule group. Each discrete Lyapunov function lies in its own operating regions of maximal overlapped-rule group. And then based on this a new sufficient condition to check the stability of the open-loop system is proposed. This condition only requires finding a common positive-definite matrix in each maximal overlapped-rule group. Compared with former stability analysis approaches, it can not only overcome the defect of finding a common positive-definite matrix but also reduce the number of solving Lyapunov inequalities. At last, a simulation example shows that the method is effective and advantageous.",
keywords = "Lyapunov function, Stability analysis, T-S fuzzy systems",
author = "Zhang, \{Song Tao\} and Wang, \{Shu Juan\}",
year = "2008",
doi = "10.1109/CCDC.2008.4597685",
language = "英语",
isbn = "9781424417346",
series = "Chinese Control and Decision Conference, 2008, CCDC 2008",
pages = "2045--2048",
booktitle = "Chinese Control and Decision Conference, 2008, CCDC 2008",
note = "Chinese Control and Decision Conference 2008, CCDC 2008 ; Conference date: 02-07-2008 Through 04-07-2008",
}