Decentralized Stabilization of a Class of Large Scale Linear Discrete Time Delay Systems
一类线性离散时滞大系统的分散镇定

This paper considers the decentralized stabilization problem via local state feedback control laws for a class of large scale linear discrete time systems with delay interconnections.A sufficient condition for decentralized stabilizability is derived and is expressed as a system of linear matrix inequalities.Furthermore,the problem of designing a decentralized state feedback control law with smaller feedback gain parameters is formulated as a convex optimization problem,and latter can be solved by using existing efficient convex optimization techniques.The obtained controller enables the closed loop systems to be not only stable,but also of any prescribed stability degree.