1. Introduction. p. 1 2. Mathematical Background: Matrix analysis and computation. p. 9 3. Stability in the sense of Lyapunov: theory and applications. p.69. 4: Mathematical models of flexible structures. p.139. 5: Design of linear state feedback control systems. p. 235. 6.Controllability and observability. p.297. 7. Design of linear output feedback control systems.p. 353. 8. Appendices. p.397.