Finite-time Control of a Class of Uncertain Networked Systems with State Delay and Communication Delay

* School of Mathematics and Statistics, Anyang Normal University 436 Xian’ge Road, 455000, Anyang, China ([email protected]) Abstract In this paper we consider the finite-time control problem for a class of networked systems with state delay and communication delay. The main result provided is a sufficient condition for the design of a state feedback controller which makes the closed loop systems finite-time stable. The sufficient condition is then reduced to a feasibility problem by involving linear matrix inequalities which is dependent on the size of the time delay and can be solved by LMI toolbox in MATLAB. When the LMI is feasible, the explicit expression of the desired finite-time control is also given. A numerical example is presented to illustrate the effectiveness of the proposed method.