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Learn fundamental concepts and applications of control theory in this mathematical seminar lecture that explores how control systems are designed and analyzed to regulate dynamic processes. Discover the theoretical foundations underlying feedback control systems, stability analysis, and controller design methodologies used across engineering and scientific disciplines. Examine mathematical tools including differential equations, Laplace transforms, and state-space representations that form the backbone of modern control theory. Explore practical applications ranging from aerospace systems and robotics to process control and biological systems, understanding how mathematical principles translate into real-world solutions for managing complex dynamic behaviors.