Finite time stabilization for multi-path cyber physical system with time-varying parameters

This paper investigates the finite time stabilization for multi-path cyber physical systems with random denial-of-service (DoS) attacks and time-varying parameters. Unlike previous research, we use auxiliary systems to establish sufficient conditions for finite time stability in closed-loop multi-path CPSs with various delays and parameters, based on a detailed analysis of the state transition matrix. We also present a condition derived from the Lyapunov function and propose an LMI-based method for designing a non-fragile controller. Finally, we apply these theoretical contributions to a stock investment model to demonstrate their validity.