Simple adaptive stabilization of high-gain stabilizable systems

Ilchmann, Achim GND; Townley, Stuart

It is shown that the simple adaptive feedback strategy u(t)=1ln k(t) cos1/ln(t).k(t)=y(y)² is a universal adaptive stabilizer for the class of single-input, single-output, finite-dimensional, linear systems which are stabilizable by either negative or positive high-gain feedback.

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Ilchmann, Achim / Townley, Stuart: Simple adaptive stabilization of high-gain stabilizable systems. 2005.

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