Robust Stability of Switched Systems under Weighted Admissible Edge-Dependent Average Dwell Time and Applications in Networked Control Systems

The article presents a groundbreaking approach to enhancing the stability of switched systems, which are integral to various engineering and scientific domains. It introduces the weighted admissible edge-dependent average dwell time (WAED-ADT) switching strategy, a novel method that considers both the differences in running times of subsystems and their interdependencies. This innovation allows for a more flexible and accurate design of switching rules, addressing the challenges posed by time delays and uncertainties in dynamic systems. The article delves into the robust stability analysis of switched systems with time-varying delays and uncertainties, providing rigorous stability criteria derived from Lyapunov-Krasovskii functional theory. Furthermore, it explores the application of these findings to networked control systems (NCSs), demonstrating how the WAED-ADT strategy can be used to solve sampling control problems under packet loss. Through detailed examples and numerical simulations, the article showcases the effectiveness of the proposed methods, offering insights into their practical implementation and potential impact on complex engineering systems.