The results that illustrate the fruitfulness of the idea of optimal parametric correction for the analysis and optimization of the class of periodically driven chaotic systems are presented. Two problems that reveal the peculiarities of suppression of chaotic dynamics and present the method of regulation of the behavior of dissipative nonlinear oscillator were solved with the help of Melnikov criterion. The analytical results were compared to the solution of double-criteria problem that uses the conditions of Pontryagin maximum principle to find optimal parametric perturbations.
