Output feedback stabilization of linear systems with infinite distributed input and output delays

This paper considers the output feedback stabilization problem of linear systems with infinite distributed delays in their inputs and outputs. A low gain observer is proposed to estimate the state of the concerned system with infinite distributed delays in its inputs and outputs. The observer based output feedback controller is then developed. It is shown that the resulting closed loop system is globally asymptotically stable. It should be pointed out that the output feedback control problem of linear systems with infinite distributed input and output delays is first time investigated to the best of our knowledge. Finally, some numerical examples are presented to demonstrate the effectiveness of the proposed controller.