| Title:
|
Global stability of Clifford-valued Takagi-Sugeno fuzzy neural networks with time-varying delays and impulses (English) |
| Author:
|
Sriraman, Ramalingam |
| Author:
|
Nedunchezhiyan, Asha |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
58 |
| Issue:
|
4 |
| Year:
|
2022 |
| Pages:
|
498-521 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this study, we consider the Takagi-Sugeno (T-S) fuzzy model to examine the global asymptotic stability of Clifford-valued neural networks with time-varying delays and impulses. In order to achieve the global asymptotic stability criteria, we design a general network model that includes quaternion-, complex-, and real-valued networks as special cases. First, we decompose the $n$-dimensional Clifford-valued neural network into $2^mn$-dimensional real-valued counterparts in order to solve the noncommutativity of Clifford numbers multiplication. Then, we prove the new global asymptotic stability criteria by constructing an appropriate Lyapunov-Krasovskii functionals (LKFs) and employing Jensen's integral inequality together with the reciprocal convex combination method. All the results are proven using linear matrix inequalities (LMIs). Finally, a numerical example is provided to show the effectiveness of the achieved results. (English) |
| Keyword:
|
global stability |
| Keyword:
|
T-S fuzzy |
| Keyword:
|
Clifford-valued neural networks |
| Keyword:
|
Lyapunov--Krasovskii functionals |
| Keyword:
|
impulses |
| MSC:
|
03E72 |
| MSC:
|
34D08 |
| MSC:
|
35R12 |
| MSC:
|
92B20 |
| idZBL:
|
Zbl 07655844 |
| idMR:
|
MR4521853 |
| DOI:
|
10.14736/kyb-2022-4-0498 |
| . |
| Date available:
|
2022-12-02T13:09:21Z |
| Last updated:
|
2023-03-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151162 |
| . |
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| . |
