Pole assignment by state feedback for uncertain linear systems

Based on the Lyapunov stability theorem, the solution of the Riccati equation, and the convex combination property, we propose some conditions under which the poles of the closed-loop system with real parameter uncertainties can be assigned in the specified region by using linear state feedback. Two types of the specified regions are considered: (i) the region to the left of the Re(s) = - σ and (ii) the disk D (α, γ) with the center (α, 0) and the radius γ. The main feature of this paper is that all the inequalities in the theorems do not contain any uncertain parameters.