The concept of state, state-space linear models and their solution in the time and frequency domains, stability analysis with linear state space models in terms of system poles, controllability of linear systems and controllability tests, observability of linear systems and observability tests.  State feedback and state estimation, pole placement method for SISO and MIMO systems, linear systems observers. Optimal control systems. Non linear models and linearization,  Lyapunov's methods for stability analysis of nonlinear systems, transformation of linear state-space models into transfer functions , the concept of system internal representation. Introduction to discrete control. 

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