Name
Title | ||
|---|---|---|
Local stability conditions for T-S fuzzy time-delay systems using a homogeneous polynomial approach |
Abstract | ||
|---|---|---|
Local stability conditions for time-delay T-S fuzzy systems are proposed by use of a homogeneous polynomial approach. Lesser conservatism can be expected based on the derived stability criteria due to the following three factors: a) a new fuzzy Lyapunov-Krasovskii functional is constructed, which contains a homogeneous polynomially parameter-dependent matrix of degree 2; b) the off-diagonal matrix in Reciprocal Convexity lemma is extended to a homogeneous polynomially parameter-dependent matrix; and c) local stability conditions for time-delay T-S fuzzy systems are proposed to overcome the difficulty of dealing with the time derivative of membership functions. Finally, two numerical examples illustrate the effectiveness of the proposed methods. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.fss.2019.02.019 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
T-S fuzzy systems,Time delay,Homogeneous polynomials,Local stability | Applied mathematics,Discrete mathematics,Convexity,Matrix (mathematics),Fuzzy logic,Stability conditions,Time derivative,Homogeneous polynomial,Fuzzy control system,Mathematics,Lemma (mathematics) | Journal |
Volume | ISSN | Citations |
385 | 0165-0114 | 4 |
PageRank | References | Authors |
0.39 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Guiling Li | 1 | 4 | 0.39 |
| Chen Peng | 2 | 1881 | 121.56 |
| Min-Rui Fei | 3 | 89 | 4.59 |
| Yu-Chu Tian | 4 | 550 | 59.35 |