Stabilization of Generalized Triangular Form Systems with Dynamic Uncertainties by Means of Small Gain Theorems

Abstract We prove that a nonlinear control system with periodic dynamics in the generalized triangular form (GTF) which is affected by external disturbances can be uniformly input-to-state stabilized by means of a periodic feedback and the gain can be chosen arbitrarily small in some sense. This allows us to stabilize such a system in presence of unmeasured dynamic uncertainties.

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