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• Optimal control from Hamilton-Pontryagin Equation • Optimal Control Law for Linear System with Quadratic Performance Index • Design procedure and examples

• State feedback and design of feedback matrix • Design of state estimator • Feedback control with estimated states

• Definition of controllability • Definition of observability • Detective methods for controllability • Detective methods for observability • Decomposition

• Input-output stability • Internal stability • Lyapunov theorem • Stability analysis of LTI systems

• Concepts of linear Ordinary Differential Equations • Solution of linear state equations • Similarity Transformation • Discretization of state space model • Realization of rational transfer functions • Canonical forms