One of recent achievements in the field of nonlinear H∞ optimal control theories for Euler-Lagrange systems is the analytic solution to the Hamilton-JacobiIsaccs (HJI) equation associated to the so-called nonlinear H∞ inverse-optimal control [1]. In this paper, we address the problem of nonlinear H∞ optimal control design for an Euler-Lagrange system, rather than the inverse-optimal problem. By...

For a system governed by Itô-type nonlinear stochastic differential equation with state-dependent noise, the H2/H∞ control problem is considered, which combines the H2 optimization with the robust H∞ performance. A cross-coupled Hamilton-Jacobi equations associated with the nonlinear stochastic H2/H∞ control are obtained, based on which, sufficient conditions for designing the finite and infini...