Feedback Control for Nonlinear Systems with Quasi-one-sided Lipschitz Condition

The feedback control design for a class of nonlinear systems is considered. A more relaxed condition is introduced based on the definition of quasi-one-sided Lipschitz condition. A sufficient condition for the nonlinear systems with this condition is provided by using linear matrix inequalities (LMIs). The state feedback controllers and dynamic output feedback controllers are gained. When the feedback control laws are applied to the systems, the closed-loop systems are globally asymptotically stable.