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In this paper, we study the linear quadratic (LQ) optimal control problem oflinear systems with private input and measurement information. The mainchallenging lies in the unavailability of other regulators' historical inputinformation. To overcome this difficulty, we introduce a kind of novelobservers by using the private input and measurement information andaccordingly design a kind of new decentralized controllers. In particular, itis verified that the corresponding cost function under the proposeddecentralized controllers are asymptotically optimal as comparison with theoptimal cost under optimal state-feedback controller. The presented results inthis paper are new to the best of our knowledge, which represent thefundamental contribution to classical decentralized control.

Decentralized Control of Linear Systems with Private Input and Measurement Information