Journal of The Faculty of Science and Technology

Omdurman Islamic University

We have developed a theorem (labeled theorem 1) considering the simultaneous quadratic stabilization of uncertain non-linear dynamical systems in block companion form. The existence and construction of a single state feedback controller are presented, the feedback controller is designed on the basis of the construction of a common Lyapunov function for the collection of uncertain non-linear dynamical systems. A stabilization algorithm is proposed to illustrate the preceding theorem.

Key words: Lyapunou function ; Quadratic Stabilization ; Iron – linear Dynamical System