Efficient eigenvalue assignment for linear time-varying systems

Abstract

This paper deals with the eigenvalue assignment for linear time-varying systems to achieve feedback stabilization. For this, we introduce the novel eigenvalue concepts. It is believed that this technique is the generalized version of the Ackerman formula for linear time-invariant systems. The advantages of the proposed Ackerman-like formula are that it does not require the transformation of the original system into the phase-variable form nor the computation of eigenvalues of the original system.