Abstract

In this paper, we present a structural decomposition for general single-input and single-output linear singular systems. Such a decomposition has a distinct feature of capturing and displaying all the structural properties, such as the finite and infinite zero structures and redundant dynamics, of the given system. It is expected to be a powerful tool in solving control problems for singular systems, such as H 2 and H ∞ control, model reduction and disturbance decoupling problems, to name a few.

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