Robust Stabilization and Decentralized Robust Control for Multiple Time-delay Systems with Nonlinear Perturbations

The problems of robust stability and decentralized robust control for a class of multiple delay systems with nonlinear parameter perturbations which satisfy the norm-bounded conditions are dealt with. First, by using Lyapunov function method, robust stabilization of the system is analyzed and a new kind of stable condition is obtained. By using pure Lyapunov function, the conditions of exponential stabilization are discussed. Furthermore, the conditions of robust control and exponential control are developed by means of the decentralized feedback control.