Adaptive stabilization with exponential decay

Ilchmann, Achim GND; Owens, David H.

Adaptive high gain stabilizers for classes of linear time-invariant state space systems are presented. The classes cover multi-input - multi-output systems where the state dimension is not known. Only standard assumptions such as minimum phase and known respectively unknown sign are required. The main result is, that the adaptive control laws of Byrnes and Willems can be modified to produce a gurantee of exponentially decaying states.

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Ilchmann, Achim / Owens, David H.: Adaptive stabilization with exponential decay. 2005.

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