一类线性离散时滞大系统的分散镇定

用一组线性矩阵不等式给出一类线性离散时滞大系统分散能镇定的一个充分条件，进而，通过建立和求解一个凸优化问题，提出了具有较反馈增益参数的分散稳定化状态反馈控制律的设计方法，所得到的控制器不仅使得闭环境系统是稳定的，而且还可以使得闭环系统状态具有给定的衰减度。

Decentralized Stabilization of a Class of Large Scale Linear Discrete Time Delay Systems

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.