Abstract
This article studies the global Mittag-Leffler stability of fractional order fuzzy cellular neural networks via hybrid feedback controllers. Based on hybrid feedback control technique Lyapunov approach, and some novel analysis techniques of fractional calculation, some sufficient conditions are obtained to guarantee the Global Mittag-Lefflers stability. Finally, two simulation example are given to illustrate the effectiveness of the proposed method.
Highlights
Fractional-order calculus have a very long history in pure mathematics
Motivated by the above discussions, the objective of this paper is to study the global Mittag-Leffler stability of fractional order fuzzy cellular neural networks with distributed delays via hybrid feedback controllers
We studied the global Mittag-Leffler stability of fractional order fuzzy cellular neural networks
Summary
Fractional-order calculus have a very long history in pure mathematics. The study of fractional calculus can be dated back to 1695, the fractional operator concept has been put forward by Leibnitz. Many researchers have paid close attention to studying the dynamical behaviors of fractional-order systems and have drawn some wonderful results in the literature [7]-[8]. Stability has been a hot research topic that has drawn much attention from mathematicians, physicists, and computer scientists, and a large amount of results have been available in the literature [9]-[39] Most of these results are of integer-order networks. Motivated by the above discussions, the objective of this paper is to study the global Mittag-Leffler stability of fractional order fuzzy cellular neural networks with distributed delays via hybrid feedback controllers. To the best of authors knowledge global Mittag-Leffler stability of fractional order fuzzy cellular neural networks with distributed delays via hybrid feedback controllers is not yet fully studied.
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