2 6 Ja n 20 06 FurtherResults onStrictLyapunovFunctions for RapidlyTime - VaryingNonlinear Systems ⋆

ar X iv : m at h / 06 01 65 8 v 2 [ m at h . O C ] 2 3 Ju n 20 06 FurtherResults onStrictLyapunovFunctions for RapidlyTime - VaryingNonlinear Systems ⋆

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 sufficient conditions for uniform global exponential, uniform globa...

ar X iv : m at h . O C / 0 60 16 58 v 2 2 3 Ju n 20 06 FurtherResults onStrictLyapunovFunctions for RapidlyTime - VaryingNonlinear Systems ⋆

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 sufficient conditions for uniform global exponential, uniform globa...

FurtherResults onStrict LyapunovFunctions for RapidlyTime-VaryingNonlinear Systems ?

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 sufficient conditions for uniform global exponential, uniform globa...

1 8 Ja n 20 06 Orthogonal curvilinear coordinate systems corresponding to singular spectral curves ∗

0 60 10 36 v 1 2 6 Ja n 20 06 Quark Matter 2005 : Experimental Conference Summary

Highlights of the experimental results presented at the Quark Matter 2005 Conference in Budapest (Hungary) are reviewed and open issues are discussed.