New criterion for finite-time synchronization of fractional order memristor-based neural networks with time delay

Finite-time stability of fractional-order fuzzy cellular neural networks with time delays

New insight into bifurcation of fractional-order 4D neural networks incorporating two different time delays

In this article, the finite-time stability (FTS) of fractional-order Hopfield neural networks with time delays (FHNNTDs) is studied. A widely used inequality in investigating the stability of the fractional-order neural networks is fractional-order Gronwall inequality related to the Mittag–Leffler function, which cannot be directly used to study the stability of the factional-order neural networks with time delays. In the existing works related to fractional-order Gronwall inequality with time delays, the order $\lambda >0$ was divided into two cases: $\lambda \in (0,0.5]$ and $\lambda \in (0.5,+\infty)$ . In this article, a new fractional-order Gronwall integral inequality with time delay and the unified form for all the fractional order $\lambda >0$ is developed, which can be widely applied to investigate FTS of various fractional-order systems with time delays. Based on this new inequality, a new criterion for the FTS of FHNNTDs is derived. Compared with the existing criteria, in which fractional order $\lambda \in (0,1)$ was divided into two cases, $\lambda \in (0,0.5]$ and $\lambda \in (0.5,1)$ , the obtained results in this article are presented in the unified form of fractional order $\lambda \in (0,1)$ and convenient to verify. More importantly, the criteria in this article are less conservative than some existing ones. Finally, two numerical examples are given to demonstrate the validity of the proposed results.

New Criteria on Finite-Time Stability of Fractional-Order Hopfield Neural Networks With Time Delays

Further investigation on bifurcation and their control of fractional‐order bidirectional associative memory neural networks involving four neurons and multiple delays

Jun-Guo Lu

Papers

New criterion for finite-time synchronization of fractional order memristor-based neural networks with time delay

Finite-time stability of neutral fractional order time delay systems with Lipschitz nonlinearities

Robust stability and stabilization of hybrid fractional-order multi-dimensional systems with interval uncertainties: An LMI approach