Robust stability analysis of uncertain switched systems with linear time-varying delays

The research purpose of uncertain time-varying delays (T-V Ds) switching systems is mainly to analyse stability of systems, design suitable controllers, and apply them to practical engineering problems. In this article, a issue of robust stability analysis is formulated for a kind of uncertain switched systems (SSs) with linear T-V Ds. Firstly, robust stabilities norm for SSs are obtained by establishing suitable multiple Lyapunov-Krasovskii functionals (MLKF) along with the application of a mode-dependent average dwell time (MDADT) switching approach. Second, research determines the robust stabilities of uncertain non-switching systems through the solution of linear matrix inequalities (LMIs). Building upon the approach, this research extends the robust stability analysis to uncertain SSs with T-V Ds. Lastly, simulation instances are suggested to prove the efficiency and validity of our theoretic findings. This article can better understand the impact of these phenomena on system stability and propose effective control strategies to enhance system stability. With the continuous deepening of research and technological innovation, it is expected to see more application achievements based on uncertain time-delay switching systems in the future.