Electrical and Computer Engineering Graduate With Thesis

Introduction and the definition of the state space, the relation between the transfer function and the state space. Revisiting the matrix algebra, linear vector spaces, linear transformations, eigenvalues and the eigenvectors topics from linear algebra. The solution of the state equations, the relationship between the state space and the transfer function. Investigation on the controllability-stabilizability and the observability-detectability concepts. Controller design using state and output feedback, observer design.

For Linear dynamical system understanding the state space description. In terms of mathematical background, understanding the basics of the matrix algebra, linear vector spaces and the linear transformations. Using this background, developing the relation between the state space and the transfer functions of a system, understanding the controllability-stabilizability, observability-detectability concepts. Gaining competency on the controller design using the state-feedback, the output feedback and the observer design.