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It is shown that a linear strictly unstable system with actuation limits can not be stabilized globally, regardless of whatever control methodology is applied. This has important implications for control practices, especially for the control of unstable plants whose dynamics may vary abruptly during operation. It also implies that a feedback controller should be stable by itself, which further aggravates...
-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 l1 function superimposed on...
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