An LMI approach to decentralized stabilization of interconnected time-delay systems

This paper deals with the problems of stability and decentralized stabilization of interconnected continuous-time linear systems with constant time-delays in the state of each subsystems as well as in the interconnections. Delay-dependent LMI based methodologies of stability analysis and decentralized stabilization via linear memoryless state-feedback are developed. Extensions of the stabilization result to more complex control problems, such as decentralized static output feedback, decentralized H/sub /spl infin// control, and decentralized robust stabilization are also discussed.