state-space representation of dynamical systems, advantages of state space models over transfer function models, decomposition of transfer functions to CCF, OCF, DCF,JCF forms, similarity transformation between state-space models, response and stability issues of a linear time-invariant state-space models, state transition matrix, controllability and observability of state-space models, controllers design based on pole placement technique, design of state observers, Linear Quadratic Regulator (LQR).