A method for decentralized control design in spatially invariant arrays

In this paper, we derive an integral quadratic constraint (IQC) that proves stability of a spatially invariant array of systems. The IQC involves only the expression of a local system (unit) in the array, and is equivalent to a scaled small gain condition in a transformed version of the local unit. This IQC is used to develop a method based on the D-K iteration to design decentralized controllers for stabilizing the array.

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