Abstract
This paper deals with the boundedness of the solution of time-varying nonlinear feedback control systems with a piecewise continuous nonlinearity. It is shown in the theorems that, if both the input of the system and its first derivative are bounded, and if the system satisfies an extended asymptotic stability condition in the large, then the solution is also bounded. In addition, the upper bound of the solution is given by a function of the time, the maximum input amplitude, the system parameters, the initial conditions, etc.. Examples show that the presented theorems are applicable to a wider class of systems and that the theorems provide better results than those proposed in references.
