ON STABILITY CONDITIONS FOR CONTINUOUS-TIME SYSTEMS WITH SLOWLY TIME-VARYING PARAMETERS

摘要

This paper presents some new conditions for the exponential stability of continuous-time linear homogeneous systems with slowly time-varying parameters, and investigates conditions for the boundedness of the solutions of a class of continuous-time dynamic systems, which result from almost all the available continuous-time adaptive control systems. The conditions are motivated by those used in the stability analysis of continuous-time adaptive control systems with un-modeled dynamics, deterministic or stochastic disturbances as well as slowly time-varying parameters.