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We address H-infinity structured static state feedback and give a simple formfor an optimal control law applicable to linear time invariant systems withsymmetric and Hurwitz state matrix. More specifically, the control law as wellas the minimal value of the norm can be expressed in the matrices of thesystem's state space representation, given separate cost on state and controlinput. Thus, the control law is transparent, easy to synthesize and scalable.Furthermore, if the plant possess a compatible sparsity pattern it is alsodistributed. Examples of such sparsity patterns are included. Furthermore, wegive an extension of the optimal control law that incorporate coordinationamong subsystems. We demonstrate by a numerical example that the derivedoptimal controller is equal in performance to an optimal controller derived bythe riccati equation approach.

Optimal Distributed H-infinity State Feedback for Systems with Symmetric and Hurwitz State Matrix