On converse Lyapunov theorems for ISS and iISS switched nonlinear systems |
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| Authors: | J L Mancilla-Aguilar R A García |
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| Abstract: | In this paper we present converse Lyapunov theorems for ISS and integral input to state stable (iISS) switched nonlinear systems. Their proofs are based on existing converse Lyapunov theorems for input–output to state stable and iISS nonlinear systems, and on the association of the switched system with a nonlinear system with inputs and disturbances that take values in a compact set. |
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| Keywords: | Converse Lyapunov theorems ISS IOSS iISS Nonlinear Switched systems |
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