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This lecture covers the boundability theorem and the construction of quantized controllers in networked control systems (NCS). It discusses the model of NCS including packet drops and explores the graphical method for computing closed-loop systems. The instructor presents examples with different values of 'a' to demonstrate the convergence behavior of closed-loop state trajectories. The lecture also delves into the impact of packet dropouts on NCS stability, the models of dropouts, and the stability analysis under deterministic and stochastic packet dropout scenarios. It concludes with insights on how quantization effects can affect NCS behavior and the design of controllers for ensuring boundability.