I-0 Stability Analysis of Multiple Nonlinear-Multivariable Systems

Multiple nonlinear systems have been studied, particularly in multiple-input and multiple-output cases., by modifying the small loop-gain theorem and circle criterion. For these kinds of multiple nonlinear systems., the conventional stability analyses techniques are not employed because of the complexity and non-linearity. The input-output stability analysis technique, therefore, has been applied to this study, along with the transformation approach, by using functional methods. Examples have been shown for the application of these kinds of complex nonlinear systems.