On the fully decentralized two-block H2 model matching with one-sided dynamics

This paper considers the fully decentralized H² model matching optimization for continuous-time LTI systems. The properties of vector operator and Khatri-Rao product are exploited to reduce the problem to a one-sided centralized setting of a higher dimension. The potential of this approach for the derivation of explicit state-space formulae is examined. First, a closed-form, though not minimal state-space solution for the general problem is found. Then, non-reducible statespace formulae are derived for the special case of a two-block problem with one-sided dynamics.