Abstract
In this paper single input nonlinear systems with non-commensurate time-delays in state variables are considered. The objective is to design a coordinates transformation and a feedback which yield a finite dimensional linear controllable closed-loop system in a new coordinates, whose spectrum is located at an arbitrarily preassigned set of n points in the complex plane. An algebraic design procedure for this problem is proposed here. The proposed method is related to the exact linearization technique for systems with a finite dimension, and recognized as the extension of the finite spectrum assignment of linear retarded systems. Effectiveness of the method is tested by illustrative examples.
