Lecture, 3 credits, 3 hours per week. Pre-requisites: MA127 Calculus II，MA113 Linear Algebra, EE207 Engineering Mathematics or SDM234 Advanced Engineering Mathematics，EE205 Signals and Systems or SDM246 Signals & Systems , SDM263 Feedback Control Theory.This course contains the following main contents. I. Mathematical Preliminaries: linear algebra supplement; II. LTI State space system analysis: solutions of state-space equations, controllability, observability, Kaman decomposition, MIMO system poles and zeros, stability, system connections; III. Transfer function realization: minimality, Hankel matrix and realization, balanced realization; IV. Control system design: pole placement, Luenberger observer, observer-based control and separation principle, Youla Parametrization; V. Elementary optimal control: Riccati equation, LQR and H2 (LQG) control, separation principle again. VI. Case study.