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Bounded-Energy-Input Convergent-State Property of Dissipative Nonlinear Systems: An iISS Approach

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3 Author(s)
Jayawardhana, B. ; Discrete Technol. & Production Autom., Univ. of Groningen, Groningen, Netherlands ; Ryan, E.P. ; Teel, A.R.

For a class of dissipative nonlinear systems, it is shown that an iISS (integral input-to-state stability) gain can be computed directly from the corresponding supply function. The result is used to prove the convergence to zero of the state whenever the input signal has bounded energy, where the energy functional is determined by the supply function.

Published in:

Automatic Control, IEEE Transactions on  (Volume:55 ,  Issue: 1 )