The focus of this paper is the connection between two foundational areas of linear time-invariant (LTI) systems theory: geometric control and eigenstructure assignment. In particular, we study the properties of the null-spaces of the reachability matrix pencil and of the Rosenbrock system matrix, wh...

The aim of this paper is to show that a recently proposed technique for eigenstructure assignment of linear time-invariant systems can be extended to solve the corresponding eigenstructure assignment problem for linear parameter-varying systems, whose state-space matrices depend on a set of time-var...

Parametric approaches for eigenstructure assignment in linear descriptor systems via output feedback are proposed. General parametric expressions for both the left and right closed-loop finite and infinite eigenvectors and the output feedback gain matrix are established in terms of certain parameter...