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Lyapunov functions for stable cascades and applications to global stabilization

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3 Author(s)
Mazenc, F. ; Centre for Process Syst. Eng., Imperial Coll. of Sci., Technol. & Med., London, UK ; Sepulchre, R. ; Jankovic, M.

Generalizes Lyapunov constructions for a cascade of two nonlinear systems, one of which is stable rather than asymptotically stable. A new cross-term construction in the Lyapunov function allows us to replace earlier growth conditions by a necessary boundedness condition. This method is instrumental in the global stabilization of feedforward systems, and new stabilization results are derived from the generalized construction

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Automatic Control, IEEE Transactions on  (Volume:44 ,  Issue: 9 )