本課程的目的將從數學的角度，先行說明系統的狀態空間表示法，以闡述訊號與空間的關係。進一步，探討控制系統的基本性質：可控制性、可觀測性，以及系統穩定性與系統實現等。最後課程重點，設計可觀測器與對應的強健控制器，達成真正控制一個受控系統。

The course deals with linear spaces, linear operator theory, existence and uniqueness of solutions of differential equations, the fundamental matrix solution, state transition matrix, Lyapunov stability, controllability, observability feedback, pole placement, observers, output feedback. Special topics include Kalman filtering, linear quadratic regulator optimal control, geometric linear control.

• John S. Bay, Fundamentals of Linear State Space Systems, McGraw Hill, 1999
• Donald G. Schultz and James L. Melsa, State Functions and Linear Control Systems, McGraw-Hill, New York, 1967