Robust Guaranteed Cost Decentralized Stabilization for Uncertain Discrete Large‐Scale Systems with Delays via State Feedback and Output Feedback

The problem of robust guaranteed cost decentralized stabilization for uncertain discrete large‐scale systems with delays is investigated in this paper. Sufficient conditions for the existence of the robust guaranteed cost decentralized controllers via memoryless state feedback and static output feedback are expressed as BMIs. Furthermore, alternate iterative algorithms are proposed to solve the feasible problems with BMI constrains. Numerical examples are given to illustrate effectiveness of the proposed methods.