On the Stabilizability of Nonlinear Control Systems

In this paper a stablizability of nonlinear control system x(t) = f (x) + g(x)u(t) has been studied by using a suitable form for control function u(t) . We used some conditions on this system to find the positive definite function which has negative definite derivative which led the system to be asymptotically stabilizable. Then We used some hypothesis and some conditions to get a system with difference types of stabilizability.