On design of dynamic output feedback controller for GCS of large-scale systems with delays in interconnections: LMI optimization approach

This paper considers the dynamic output feedback controller design problem for decentralized guaranteed cost stabilization (GCS) of large-scale systems with time delays in subsystem interconnections. Based on the Lyapunov method, a linear matrix inequality (LMI) convex optimization problem is formulated to find the controller which guarantees the asymptotic stability and minimizes the upper bound of a given quadratic cost function.