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Bounded-input bounded-output stability of a damped nonlinear string

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1 Author(s)
S. M. Shahruz ; Berkeley Res. Inst., CA, USA

In this paper, we prove that the displacement of a damped nonlinear string under bounded distributed forces is bounded. The proof is achieved by showing that an energy-like (Lyapunov) function corresponding to the string is bounded

Published in:

IEEE Transactions on Automatic Control  (Volume:41 ,  Issue: 8 )