Stability of networked control systems: A Lyapunov–Krasovskii functional plus approach

This paper is concerned with stability for networked control systems with a transmission delay and data packet dropouts. A hybrid model is formulated for the networked control systems to separate the constant delay and data packet dropouts, and a stability theorem is established for the hybrid model. Based on the stability theorem, a Lyapunov–Krasovskii functional plus (LKFP) approach is proposed to revolutionize the normal Lyapunov–Krasovskii functional approach. By fully employing the system information to construct an LKFP and by exploiting integral equations of the hybrid model to deal with the derivative of the LKFP, new stability results are obtained. Finally, numerical examples illustrate that the stability results are of less conservatism than some existing ones.