Review of vector matrix analysis-Describing – function analysis of non-linear control system: Introduction to non-linear systems, non-linear control systems, Describing function analysis, and Non-linear control systems. Stability of Non-linear control systems. Discrete time systems & the z transform method: Introduction to discrete systems. Review of Z Transforms, Pulse Transfer Function, and Stability analysis in the Z plane. State-space analysis of control systems: State space representation of systems, solving the time invariant state equations: Transfer matrix, Linear Time Invariant systems, and State-space representation of Discrete-time systems solving discrete time state equation Optimal and adaptive control system.