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

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.