For a class of dissipative nonlinear systems, it is shown that an iISS 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.
- iISS approach
- dissipative nonlinear systems
- integral input-to-state stability
- convergent-state property
Jayawardhana, B., Ryan, E. P., & Teel, A. R. (2010). Bounded-energy-input convergent-state property of dissipative nonlinear systems: an iISS approach. IEEE Transactions on Automatic Control, 55(1), 159-164. https://doi.org/10.1109/tac.2009.2033754