Controllability analysis and eigenvalue assignment for generalized state-space systems

Abstract An extended Hessenberg-triangular form is introduced as a tool for the controllability analysis of linear descriptor generalized state-space systems. The extended Hessenberg-triangular form may be applied to the multiple-input eigenvalue placement via state feedback with the advantage that the number of eigenvalues that have to be assigned with each input may be decided. Only unitary transformations, that lead to numerical stability, are applied to the systems. The assignment of the eigenvalues to both finite or infinite positions is considered.

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