This paper studies the preassigned time anti-synchronization control problem of a class of bidirectional associative memory (BAM) neural networks with inertia terms and memristor characteristics. By constructing a novel Lyapunov-Krasovskii function and combining it with the latest fixed-time stability theory, it strictly proves the sufficient conditions for the system to achieve anti-synchronization within the preassigned time. Numerical simulations further verified the effectiveness and superiority of the method, especially demonstrating higher accuracy and flexibility when dealing with high-order dynamics and memristor-based systems. More >

This paper investigates a class of neural networks (NNs) with time-varying delays. At first, based on the general exponential function and by using inequality techniques, we establish novel lemmas addressing fixed/preassigned-time synchronization for such NNs. Then, by employing these derived lemmas and designing two effective feedback controllers, we systematically study the fixed-time synchronization (FTS) and preassigned-time synchronization (PRTS) problems of delayed NNs. In addition, the settling-time estimation in our fixed-time stability lemma expresses superior accuracy compared to existing results in previous related works, which can all be viewed as special cases of this paper. Fin... More >

It is with great pleasure that we present to you our inaugural issue of Journal of Nonlinear Dynamics and Applications (JNDA). The topics of nonlinear dynamics mainly include stability, bifurcation, chaos and control of nonlinear systems. Before the 1950s, the researches on nonlinear dynamics were in the preliminary stage. In 1963, the formal proposal of chaos theory marked a major breakthrough in nonlinear dynamics. After the 1980s, nonlinear dynamics has been widely applied in physics, chemistry, biology, engineering and other fields. Since the 21st century, complex network dynamics, nonlinear control, intelligent control and other researches have become the hot topics, promoting the cross... More >