Absolute exponential stability for switched delay Lurie systems with all unstable modes

This paper focuses on the issue of absolute exponential stability for switched delay Lurie systems characterized by all unstable modes. To address the challenges posed by time-varying delay and all unstable modes, the discretized time-varying Lyapunov function method and Razumakin technique are utilized. New delay-independent stability criteria are derived for both discrete and distributed time-varying delay cases. Finally, two numerical examples are given to demonstrate the efficacy and the reduced conservatism of the proposed results.