The Cluster Algorithm for Time-Varying Nonlinear System with a Model Uncertainty

In this paper, we discuss the problem of the input-output linearization method for the time-varying nonlinear systems with model uncertainties. The uncertainty of model is presented in all systems, the primary concern in the system analysis. In particular, in this study, while proving the input-output linearization theorem for time-varying nonlinear systems with uncertainty, the uncertainty bounded range of models is derived. It can be seen that the expansion of the input-output linearization for the time-invariant nonlinear system with uncertainty. The Algorithm is simulated and tested by MATLAB. The results show that this algorithm which is more effective routing protocol prolongs the network lifetime.