(3 units). Classification of finite dimensional systems, system and model properties, linearized small-signal models. Solution of state space equations, free and forced responses, weighting sequences, convolutions, system response from transfer matrix. Writing state space equations. Review of matrix algebra, the normal form, the Cayley-Hamilton theorem. Similarity transformation, invariance of the external behaviour, diagonalization. Stability of LTI systems, the Lyapunov second method. Controllability, observability, the Kalman canonical decomposition. The Smith-McMillan form, computation of poles and zeroes. Course Component: Laboratory, Lecture, Tutorial Prerequisites: ELG 3125, ELG 3155.
(3 units). Classification of finite dimensional systems, system and model properties, linearized small-signal models. Solution of state space equations, free and forced responses, weighting sequences, convolutions, system response from transfer matrix. Writing state space equations. Review of matrix algebra, the normal form, the Cayley-Hamilton theorem. Similarity transformation, invariance of the external behaviour, diagonalization. Stability of LTI systems, the Lyapunov second method. Controllability, observability, the Kalman canonical decomposition. The Smith-McMillan form, computation of poles and zeroes. Course Component: Laboratory, Lecture, Tutorial Prerequisites: ELG 3125, ELG 3155.
