Impulse Sampling and data Hold, obtaining the Z-transform by convolution integral method, reconstruction the original signals from sampled signals, the pulse transfer function, realization of digital controllers and digital filters
Mapping between the s-plane and the z-plane, stability analysis of closed loop systems in the z-plane, transient and steady state response analysis design based on the root locus method, design based on frequency response method, analytical design method.
State space representation of discrete time systems, solution of discrete time state space equations, pulse transfer functions matrix, discretization of continuous time state space equations, Liapunov stability analysis.
Controllability, observability, useful transformations in state space analysis and design, design via pole placement, state observers, and servo systems.