• 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
• Classification of systems • State variable description • State space model of linear systems • Linear-time-invariant systems • Linearization • Transfer function and state space model
• Optimal control from Hamilton-Pontryagin Equation • Optimal Control Law for Linear System with Quadratic Performance Index • Design procedure and examples
• Definition of controllability • Definition of observability • Detective methods for controllability • Detective methods for observability • Decomposition