Direct Scheme of Constructing Asymptotic Solution of Three-tempo Linear-Quadratic Control Problems with Weak Nonlinear Perturbations

An asymptotic solution of a weakly nonlinearly perturbed linear-quadratic optimal control problem with threetempo state variables is constructed, using the direct scheme method, consisting of immediate substituting a postulated asymptotic solution into a problem condition and determining a series of control problems for finding asymptotics terms.