Separation principle of quasi-one-sided Lipschitz non-linear systems

In this study, the stabilisation of quasi-one-sided Lipschitz non-linear systems is investigated. For the quasi-one-sided Lipschitz non-linear system, a condition for the existence of the observer is presented. For the weak quasi-one-sided Lipschitz non-linear system, a state feedback controller is proposed and a condition is derived for the existence of the state feedback controller. The separation principle is obtained for the observer-based controller of the quasi-one-sided Lipschitz non-linear systems. The main results in this study extend and improve those in the literature. Numerical examples are given to illustrate the main results.