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

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

• 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

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

兰州交通大学：《现代控制理论》课程实验指导（打印版）实验二 状态观测器设计

兰州交通大学：《现代控制理论》课程教学大纲 Modern Control Theory（打印版，负责人：滕青芳）

3.1 线性系统的外部稳定性 3.2 系统的内部稳定性 3.3 李亚普诺夫判定稳定性方法

上海交通大学：《现代控制理论 Modern Control Theory》课程教学资源（课件讲稿）第五章 系统稳定性

3.1 线性系统的外部稳定性 3.2 系统的内部稳定性 3.3 李亚普诺夫判定稳定性方法