Topic Description

Topic Description
# Topic Description Syllabus
1 introduction
2 introduction
3 System Classification,Conventional Systems and Control Theory,Discrete-Event System (Event-Driven)
4 System Classification,Conventional Systems and Control Theory,Discrete-Event System (Event-Driven)
5 Background and Examples
6 Elementary Analysis
7 Elementary Analysis
8 Solution of Switced Linear Systems
9 Mathematical Preliminaries, Linear Spaces , Maps and Matrices
10 Invariant Subspaces and Controllable Subspaces, Reachability of Linear Systems, Variety and Genericity
11 Stability and Lyapunov Theorems, Campbell-Baker-Hausdorff Formula and Average Systems
12 Periodic Switching
13 State-feedback Switching
14 Combined Switching, Numerical Examples
15 Controllability, Observability, and normal forms, Introduction ,Definitions and Preliminaries, Elementary Analysis, A Heuristic Example, Two Supporting Lemmas
16 Controllability and Observability in Continuous Time, Controllability and Reachability, Observability and Reconstructibility, Path Planning for Controllability
17 Canonical Decomposition, General Canonical Forms, Controllable Systems: Single-Input Case, Fedeback Reduction: Multi-Input case
18 Feedback Stabilization , Introduction and preliminaries
19 Multiple controller and sensor systems, A stabilizing strategy with dwell time
20 General controllable systems
21 General systems in controllability canonical form
22 Optimization, Introduction, Optimal Convergence rate, Infinite-time Optimal Switching, Mixed Optimal Switching and Control
23 Project presentation
24 Project presentation
25 Project presentation