2011•Procedia EngineeringOpen access

Global stabilization of nonlinear system with developed control Lyapunov function

Chen Yimei

Abstract

In this paper, the problem of global stabilization with the developed control Lyapunov function V has been considered. Some sufficient conditions of global stabilization are presented when V is negative semi-definite, hence effectively extending the realm of application of control Lyapunov function. Some examples are presented to show that the results of the paper are useful in stabilization of nonlinear system.

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Key concepts: Lyapunov redesign, Lyapunov function, Control theory (sociology), Control-Lyapunov function, Nonlinear system, Lyapunov equation, Lyapunov optimization, Control (management)