Examples of multivariable control systems. State space, polynomial and stable fraction models. Controllability, observability and computations involved in their analysis. Realization theory of multivariable systems and algorithms. Stability by Lyapunov's method, solution of Lyapunov equations. Pole placement, observer design and stabilization theory.Spectral factorizations of systems. Solution of the Ricatti equation.Balanced realizations and their computations.
C.T.Chen : Linear system theory and design, 3rd edition, Oxford 1999.
John Bay : Fundamentals of linear state space systems, McGraw Hill, 1998.
Wilson Rugh : Linear system theory, 2nd edition, Prentice Hall, 1996.