Dissipativity Analysis and Bumpless Transfer Control for Synchronization of Switched Delayed Neural Networks: A Modified Combined Switching Approach

This investigation mainly focuses on the dissipativity analysis and bumpless transfer synchronization issue for switched delayed neural networks (SDNNs). To effectively leverage the past information of system states, a modified combined switching approach is creatively established, which offers a less conservative framework for the dissipativity analysis of SDNNs. By constructing a new time-dependent multiple Lyapunov–Krasovskii functional (TDMLF), sufficient conditions are then developed to ensure the strict <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$(\mathscr {X}_{1}, \mathscr {X}_{2},\mathscr {X}_{3})$ </tex-math></inline-formula>-<inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\gamma $ </tex-math></inline-formula> dissipativity for the considered SDNNs, even in cases where all subnetworks are nondissipative. Subsequently, the proposed approach is implemented for the synchronization of SDNNs, where a bumpless transfer proportional-integral-like (PI-like) control approach is first adopted. In addition, the corresponding criterion is also proposed, which guarantees that the resultant closed-loop synchronization error systems (SESs) not only satisfy strict dissipativity but also achieve a certain bumpless transfer performance (BTP). Ultimately, the practicability and superiority of the proposed design approach are thoroughly substantiated through two simulation examples.