This book investigates the mathematical foundations and practical applications of control systems design. It covers the fundamentals of modern stability theory, optimal control of deterministic systems, control of systems under random disturbances, and modern numerical methods in control theory. The text includes numerous examples to illustrate key concepts and equip readers with the skills to model phenomena, design nonlinear control systems, and analyze various control system classes. It is intended for graduate and postgraduate students in applied mathematics, mechanics, engineering, automation, and cybernetics.

The book is structured to provide a comprehensive overview of control systems design, progressing from foundational stability theory to advanced numerical methods. Its inclusion of exercises and summaries at chapter and part ends suggests a pedagogical approach aimed at facilitating learning for students. The detailed coverage of deterministic and stochastic control, alongside numerical techniques, indicates a rigorous treatment of the subject matter, likely appealing to those in advanced academic or research settings.