In this paper, We investigate the almost periodic systems (1)and(2) where g(t,x) ∈H(f). By using the inherited property of Liapunov function, under the suitable conditions, we prove that the bounded solution of (1 ) and (2) are stable under disturbances from H(f) with respect to the compact set. From this, we obtain some theorems of the existence of the almost periodic solutions for systems (1) and (2).
In this paper, we study the existence of the uniformly ultimately bounded solutions and periodic solutions for a class of third order nonlinear control systemx …+F(r)x ¨+G(r)x ·+H(r)x=e(t).(1)Using analytic method of Liapunov Function, we established the sufficient conditions of the existence of the uniformly ultimately bounded solutions and periodic solutions of the system(1).
