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A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems - MaRDI portal

A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems (Q1923055)

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scientific article; zbMATH DE number 930704
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A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
scientific article; zbMATH DE number 930704

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    A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems (English)
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    25 November 1996
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    Small gain theorems are studied for interconnected systems of the form \[ \dot x_1=f_1(x_1,x_2,u_1), \qquad \dot x_2=f_2(x_1,x_2,u_2) \] using smooth Lyapunov functions for the component systems.
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    nonlinear
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    small gain theorems
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    smooth Lyapunov functions
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