Exponential Stabilization of Coupled Delayed ODE-PDE Systems with Packet Losses

This paper introduces the exponential stabilization issue of coupled delayed ODE-PDE systems with packet losses. By using a Lyapunov-Krasovskii functional (LKF), a control scheme respected packet losses is developed by space-dependent linear matrix inequalities (SDLMIs) to guarantee the mean square exponential stability (MSES) for the closed-loop coupled delayed ODE-PDE system. Finally, the control approach is proved effective by taking a hypersonic rocket car (HRC) as an example.