Fundamentals of matrix algebra and vector spaces – Solution of simultaneous equations forsquare, under-determined, and over-determined systems – Concepts of basis vector transfor-mations – Similarity and adjoint transformations – Eigenvalues and eigenvectors – Jordan form– Characteristic equation – Analytic functions of square matrices and Cayley-Hamilton theorem– Concepts of state, state-space, state-vector – Methods for obtaining the system mathematicalmodel in the state-space form – State-space Form for Aerospace Systems: Aircraft dynamics,missile dynamics, inertial navigation system – Solution of homogeneous state equations – Con-cept of fundamental matrix and state transition matrix – Methods for evaluating state transitionmatrix – Solution of nonhomogeneous equations – Phase variable and Jordan canonical forms– Controllability and observability of the systems, pole placement design with full state feedback– Introduction to optimal control

Same as Reference

1. Friedland, B.,Control System Design: An Introduction to State-Space Methods, McGraw-Hill (1987).

2. Dazzo, J. J. and Houpis, C. H.,Linear Control System Analysis and Design: Conventionaland Modern, McGraw-Hill (1995).

3. Etkin, B.,Dynamics of Atmospheric Flight, Dover (2005)