Stability analysis of switched homogeneous time-delay systems under synchronous and asynchronous commutation

In this work, stability analysis for a class of switched nonlinear time-delay systems is performed by applying Lyapunov–Krasovskii and Lyapunov–Razumikhin approaches. It assumed that each subsystem in the family homogeneous (of positive or negative degree) asymptotically stable delay-free setting. The cases existence common multiple functionals function are explored. scenarios with synchronous asynchronous switching considered, it demonstrated depending on kind commutation, one frameworks outperforms another, but finally leading to similar restrictions both types (despite seems be more demanded). obtained results applied mechanical having restoring forces real-valued powers.