Stability analysis of Universal Learning Network

Abstract

The Universal Learning Network (ULN) is a tool for modeling, managing and controlling large scale complicated systems. In the complicated systems, stability is one of the most important subjects. Stability analysis is discussed, based on the concept of nth order asymptotic orbital stability analysis method of the system constructed by ULN. The nth order asymptotic orbital stability for the system mentioned above is defined by using the higher order derivatives of ULN which has been already reported. So the stability analysis by the nth order asymptotic orbital stability is proposed. By using this stability analysis method, we can easily calculate the exact deviation of the dynamics systems which are disturbed. Finally, an example of the stability analysis are shown by simulation results of a nonlinear crane control system.