CHARACTERIZATION OF SOME GAIN CONDITIONS VIA THE HAMILTON-JACOBI INEQUALITY

摘要

This paper gives a characterization of three gain conditions, i.e., L(2 infinity) gain, L(2 infinity) gain subject to an L(2) gain constraint, and the Hankel gain, of nonlinear systems via the Hamilton-Jacobi inequalities. It is shown that the obtained results for the L(2 infinity) gain and the Hankel gain are analog to that derived for the L(2) gain so far. [References: 24]