Structural Controllability Analysis for Linear Systems in Linearly Parameterized Descriptor Form

Abstract Controllability of systems of the form Kx = Ax + Bu where the entries of the coefficient matrices are linearly parameterized by a set of independently free parameters is considered. A necessary and sufficient condition for such systems to be controllable for almost all values of the parameters is derived. This result includes as its special case many of the previously known results on structural con trollability. To illustrate the application of the result a simple example of RL network containing an ideal transfer is examined.