Stability of Reduced-Order Adaptive Control Systems

-In this paper we derive, in a single framework, conditions encompassing those for both local and global BIBO stability of a linear multivariable discrete-time reduced-order direct or indirect adaptive (or general time-varying) control system. These conditions indicate that the system will be BIBO stable if the norm of the system parameter error matrix is bounded by an l
¹
function superimposed on an l
^∞
function.