Discretisation of Continuous Time Systems

This lecture covers the discretisation of continuous-time systems, focusing on digital control, motivation, exact discretisation methods, and approximate discretisation methods. The instructor explains the Lagrange formula, state transition operators, eigenvalues under exact sampling, and the implications of exact sampling. The lecture also delves into the interpretation of eigenvalues in the complex plane, stability preservation, and discretisation schemes like Forward Euler, Backward Euler, and Tustin method.