On exponential stability of continuous-time linear systems with distributed state delay: An asymmetric functional approach

This paper focuses on the problem of α -exponential stability of continuous-time linear systems with both discrete and distributed time-varying delays (DT-VDs). Tractable conditions ensuring exponential convergence with prescribed α -decaying rate are derived using a novel asymmetric Lyapunov–Krasovskii functional (A-LKF) approach. Numerical examples with simulations are presented to demonstrate the effectiveness of the obtained results.