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This lecture covers system analysis in the time domain, focusing on first and second-order systems, step response, transient response, stability, and higher-order systems. It discusses the characteristics of first and second-order systems, including poles, step response, and underdamped cases. The lecture also delves into transient response specifications such as rise time, peak time, maximum overshoot, and settling time. Additionally, it explores the impact of poles, zeros, and system properties on stability, emphasizing the importance of pole locations in determining system behavior. Examples and graphical representations are used to illustrate key concepts.