Finite-time stabilization for a class of distributed parameter systems

The concept of finite-time stability and stabilization for distributed parameter systems is introduced by the definition of finite-time stability for linear systems. The design of state feedback controllers and dynamic output feedback controllers is given for a class of distributed parameter systems. A sufficient condition is provided by using linear matrix inequality(LMI). When the feedback control laws are applied to the systems,the closed-loop systems are finite-time stable.