Introduction to state space concepts; state space description of physical systems such as electrical, mechanical, electromechanical, thermal, hydraulic, pneumatic, aerospace, etc. systems. Eigenvalues, eigenvectors and other topics in linear algebra, modal decomposition and other coordination transformations. Relationship between classical transfer function methods and modern state methods. Analysis of linear continuous and discrete time linear systems, solution by state transition matrix, control ability, observability and stability properties; synthesis of linear feedback control systems via pole assignment and stabilizability and performance index minimization. Brief introduction to optimal control, estimation and identification.