Abstract

CAI, X. S.  and  HAN, Z. Z.. Universal construction of control Lyapunov functions for linear systems. Lat. Am. appl. res. [online]. 2006, vol.36, n.1, pp.15-22. ISSN 0327-0793.

This paper develops a method by which control Lyapunov functions of linear systems can be constructed systematically. It proves that the method can provide all quadratic control Lyapunov functions for a given linear system. By usingthe control Lyapunov function a linear feedback is established to stabilize the linear system. Moreover, it can also assign poles of the closed-loop system in the position designed in advance.

Keywords : Linear Systems; Stabilization; Control Lyapunov Functions.

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