In this article, the issues of fixed-time projective synchronization (FTPS) and predefined-time projective synchronization (PTPS) in fuzzy neural networks (FNNs) with discontinuous activations and mixed-time delays are addressed by utilizing an adaptive aperiodically switching strategy. First of all, using the tool of Lyapunov function theory, the fixed-time stabilization (FS) in such FNNs is examined. Next, by developing suitable adaptive aperiodically switching strategy controllers, novel criteria for achieving FTPS and PTPS are established within such FNNs. Unlike recent works, in this paper, aperiodically switching control and adaptive control are employed to synchronize fuzzy neural ne... More >

This paper addresses the problem of achieving prescribed-time synchronization of coupled switched neural networks (CSNNs) using state-dependent intermittent control. Unlike traditional intermittent control, the intervals for work and rest in this approach are not pre-designed but determined by the relationship between the designed Lyapunov function and the boundary auxiliary functions. The proposed control strategy can effectively mitigate chattering behavior arising from rapid switching in traditional intermittent control. Subsequently, leveraging Lyapunov theory and various inequality techniques, we develop a new set of sufficient conditions, formulated as linear matrix inequalities (LMIs... 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 >