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On Feedback Capability in a Class of Nonlinearly Parameterized Uncertain Systems
2011
IEEE Transactions on Automatic Control
In this technical note, we will investigate the maximum capability and limitations of the feedback mechanism in globally stabilizing a basic class of discrete-time nonlinearly parameterized dynamical systems with multiple unknown parameters. Both "possibility" and "impossibility" theorems together with a fairly complete characterization on the capability of feedback will be presented. It will be seen that to characterize the feedback capability, the growth rates of the sensitivity functions of
doi:10.1109/tac.2011.2160599
fatcat:bdthl4op3nbb3eakfrimlc7a3m