CHA.1: Introduction CHA.2: Linear Spaces and Linear Operators CHA.3: Mathematical Descriptions of Systems CHA.4: Linear Dynamical Equations and Impulse - Response Matrices CHA.5: Controllability and Observability of Linear Dynamical Equations CHA.6: Irreducible Realizations, Strict System Equivalence, and Identification CHA.7: State Feedback and State Estimators CHA.8: Stability of Linear Systems CHA.9: Linear Time - Invariant Composite Systems: Characterization, Stability, and Designs APE.A: Elementary Transformations APE.B: Analytic Functions of a Real Variable APE.C: Minimum .Energy Control APE.D: Controllability after the Introduction of Sampling APE.E: Hermitian Forms and Singular Value Decomposition APE.F: On the Matrix Equation AM + MB = N APE.G: Polynomials and Polynomial matrices APE.H: Poles and Zeros.