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19982023
most citedSmall gain theorems for large scale systems and construction of ISS Lyapunov functions

344 citations · 866 across the 34 of their papers we have counts for

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math.OC1998

Asymptotic stability equals exponential stability, and ISS equals finite energy gain---if you twist your eyes

Lars Grüne, Eduardo D. Sontag, Fabian R. Wirth

In this paper we show that uniformly global asymptotic stability for a family of ordinary differential equations is equivalent to uniformly global exponential stability under a sui…