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- W2187942330 abstract "We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentimes more readily available Lyapunov functions for the limiting dynamics which we assume are uniformly globally asymptotically stable. This leads to new sucient conditions for uniform global exponential, uniform global asymptotic, and input-to-state stability of fast time-varying dynamics. We also construct strict Lyapunov functions for our systems using a strictification approach. We illustrate our results using a friction control example." @default.
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- W2187942330 date "2006-01-01" @default.
- W2187942330 modified "2023-09-26" @default.
- W2187942330 title "FurtherResultsonStrictLyapunovFunctionsfor RapidlyTime-VaryingNonlinearSystems ?" @default.
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