Stability of naturally bounded nonlinear systems

摘要: Liapunov's direct method is used to obtain regions of asymptotic stability for nonlinear systems with natural boundaries. In some cases this leads larger stable interest than if the bounds had been neglected. With account taken boundaries, a design formulated find controller gains that give responses anticipated disturbances. To compare effects different controllers and their gains, change in shape Liapunov function must be considered as well size region which its time derivative negative definite. Neglect changes has led misleading conclusions previous work.