Linear state variable systems: Continuous time systems, Discrete time systems, minimum phase systems, Reachability, Controllability, Observability, Realization and canonical forms, State variable feed back, stabilizability, and Dectectability, Output feedback. Optimal control of mechanical systems: Continuous time linear quadratic regulator (LQR), Steady state and sub optimal control, minimum time and constrained input design, LQR with output feed back, tracking problems. State estimators: Continuous observer, Reduced order observer, Kalman filter. Linear quadratic Gaussian (LQG) design, LQG/LTR design.
 K. Ogata, Modern Control Engineering, Third edition, Prentice Hall 1994.
 F.L. Lewis, Applied Optimal control and Estimation, Prentice Hall, 1992.
 B. Friedland, Control Systems Design, McGraw Hill, 1986