This volume systematically presents constructive analytical perturbation methods for nonlinear optimal control problems. The book details the averaging method for quasilinear oscillatory systems with slowly-varying parameters and explores asymptotic methods for solving boundary-value problems. It further develops the averaging method for nonlinear rotatory-oscillatory systems and applies these techniques to practical mechanical systems. The final chapters introduce small parameter techniques for regularly perturbed systems and new approaches in perturbation theory for controlled systems.

The book is structured as a technical monograph, presenting advanced analytical methods for optimal control. Its focus on constructive perturbation techniques suggests a rigorous approach aimed at specialists in applied mathematics and control engineering. The detailed chapter breakdown indicates a comprehensive treatment of the subject matter, likely appealing to researchers and advanced students seeking in-depth knowledge of these specific methodologies.