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Structural Completeness of a Multi-channel Linear System with Dependent Parameters
It is well known that the "fixed spectrum" {i.e., the set of fixed modes} of
a multi-channel linear system plays a central role in the stabilization of such
a system with decentralized control. A parameterized multi-channel linear
system is said to be "structurally complete" if it has no fixed spectrum for
almost all parameter values. Necessary and sufficient algebraic conditions are
presented for a multi-channel linear system with dependent parameters to be
structurally complete. An equivalent graphical condition is also given for a
certain type of parameterization