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Learn the fundamental principles and applications of modern control theory through a comprehensive course covering state-space representations, system solutions, controllability and observability, stability analysis using Lyapunov methods, and linear time-invariant system synthesis. Master key concepts starting from introductory control system basics, progressing through mathematical modeling in state-space, analyzing system characteristics and stability, and culminating in practical system design techniques. Develop expertise in both theoretical foundations and practical implementation of control system engineering through structured lessons and hands-on problem solving, concluding with a final assessment to validate understanding.