• 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

• Mathematic review • Concepts, laws and rules • Linear algebra • Computation of exponential matrix

• Classification of systems • State variable description • State space model of linear systems • Linear-time-invariant systems • Linearization • Transfer function and state space model

上海交通大学：《现代控制理论》课程教学资源（讲稿）Chapter 1 Introduction Morden Control Theory（主讲：鲍其莲）

上海交通大学：《精密仪器设计》课程教学大纲（电气信息类测控技术与仪器专业）

兰州交通大学：《电气化铁道供电系统与设计》课程教学资源（教案讲义，打印版）电气化铁道供电系统的构成