ELE 514 - System Theory

Course Objectives

1. Learning of mathematical concepts such as linear spaces,, linear transformations, normed linear spaces, convergens. Axiomatic definitions of systems
2. To investgate theoretical models of linear time varying and linear time invariant systems
3. To learn mathematical representations of Control, communication electronic systems
4. To learn solutions of realization and minimal realization problem

Course Description

Mathematical background: Linear spaces, linear transformations, normed linear spaces, convergens. Axiomatic definitions of systems, state transition and read-out functions. Time varying linear systems, state transition matrix: zero-state and zero-input responses. Impulse response. Time-invariant systems: exponential of a matrix, matrix functions, canonical forms, transfer function matrices. Controllability, observability and stability definitions, criteria in linear time invariant and/or varying system and, decomposition theorems . Realization, minimal realization problem and methods.