A Model Referenced Parameter Tracking Technique for Adaptive Control Systems II-Stability Analysis by the Second Method of Lyapunov

The purpose of this paper is to develop stability analysis results for the type of adaptive control systems described in a companion paper.¹ By their very nature, such systems are in general nonautonomous since the inputs may be arbitrary functions of time. The Second Method of Lyapunov supplies the principal tools for this stability analysis, while fairly general techniques are presented for generating the required Lyapunov functions for these systems. Although the analysis is carried out in detail for certain specific types of inputs, it is applicable to other types as well.