Introductory matrix algebra and linear vector space. State space representation of systems. Linearization. Solution of state equations. Evaluation of state transition matrix (STM). Similarity transformation and invariance of system properties due to similarity transformations. Minimal realization of SISO, MIMO transfer function. Convert state space model to transfer function model using Fadeeva algorithm. Fundamental theorem of feedback control. Controllability and Controllable canonical form. Pole assignment by state feedback using Ackermanns formula, controllable canonical form and numerically stable method based on controllable Hessenberg form. Controller design using output feedback. Observability and observable canonical forms. Design of full order observer using Ackermanns formula, observable canonical form, observable Hessenberg canonical form. Duality. Observer based controller design. Reduced order observer design
