ABSTRACT
Several different properties, including “integral-to-integral” stability, dissipation, robust stabilitymargins, and AG properties, were all shown to be exactly equivalent to ISS. Thus, it would appear to be difficult to find a general and interesting concept of nonlinear stability that is truly distinct from ISS. One such concept, however, does arise when considering a mixed notion which combines the “energy” of the input with the amplitude of the state. It is obtained from the “L2 → L∞” gain estimate, under coordinate changes, and it provides a genuinely new concept [23].
