Course Syllabus

Course Information：

Year-Semester Course Number Course Name Phase Credits Hours Required/Elective Instructor Class Student NO. Withdraw Note

Fall Semester
Year 2025 349245 Stability Analysis of Control Systems 1 3.0 3 ★ Kuang-Yow Lian GEE 11 0 　

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2025	349245	Stability Analysis of Control Systems	1	3.0	3	★	Kuang-Yow Lian	GEE	11	0

Course Plan：

Instructor Kuang-Yow Lian　Office Hours

Email kylian@ntut.edu.tw

Last Updated 2025-05-29 22:22:07

Course Objective 本課程一開始廣泛介紹控制系統的重要概念，之後著重在穩定度的講述。 1. 回授系統漫談 2. 數學基礎 3. Lyapunov 穩定度 4. Lyapunov 方法 5. LaSalle 定理與 Barbalat 引理 6. Lagrange 系統之穩定分析 7. 時間延遲系統之穩定分析 8. TS 模糊系統設計與分析

Course Schedule Week 1-2: Review of feedback systems Week 2-4: Review of mathematical background ; Week 4-6: Stability of linear systems Week 7-8: Lyapunov Stability for nonlinear systems; Week 9-10: LaSalle theory and Barbalat's lemma; Week 11: Lagrange mechanical systems and their stability Week 12-13: Stability for time-delay systems Week 14-16: Design and analysis for TS fuzzy systems Week 17-18: Final presentation.

Evaluation and grading policy Examination 30%, Oral Presentation 20%, Final Report 30%, HW 20%

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
Slides and Papers

The access to curricular consultation 一般事務及課程內容皆可以聯繫助教；
亦歡迎於Office Hours時段前來與我討論。
Office Hours: Thursday 14:10~17:00

Expanding teaching and resources

The course corresponds to the SDGs SDG9：產業創新與基礎設施（Industry, Innovation and Infrastructure）

Does the course incorporate AI ● 簡單介紹AI的基本概念（Briefly introduce the basic concept of AI）

Note
是否遠距上課依學校宣布而定。
遠距上課藉由Google Meet方式進行，
助教會將連結通知修課同學。

上課教室在綜科館318

Instructor	Kuang-Yow Lian　Office Hours
Email	kylian@ntut.edu.tw
Last Updated	2025-05-29 22:22:07
Course Objective	本課程一開始廣泛介紹控制系統的重要概念，之後著重在穩定度的講述。 1. 回授系統漫談 2. 數學基礎 3. Lyapunov 穩定度 4. Lyapunov 方法 5. LaSalle 定理與 Barbalat 引理 6. Lagrange 系統之穩定分析 7. 時間延遲系統之穩定分析 8. TS 模糊系統設計與分析
Course Schedule	Week 1-2: Review of feedback systems Week 2-4: Review of mathematical background ; Week 4-6: Stability of linear systems Week 7-8: Lyapunov Stability for nonlinear systems; Week 9-10: LaSalle theory and Barbalat's lemma; Week 11: Lagrange mechanical systems and their stability Week 12-13: Stability for time-delay systems Week 14-16: Design and analysis for TS fuzzy systems Week 17-18: Final presentation.
Evaluation and grading policy	Examination 30%, Oral Presentation 20%, Final Report 30%, HW 20%
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes Slides and Papers
The access to curricular consultation	一般事務及課程內容皆可以聯繫助教；亦歡迎於Office Hours時段前來與我討論。 Office Hours: Thursday 14:10~17:00
Expanding teaching and resources
The course corresponds to the SDGs	SDG9：產業創新與基礎設施（Industry, Innovation and Infrastructure）
Does the course incorporate AI	● 簡單介紹AI的基本概念（Briefly introduce the basic concept of AI）
Note	是否遠距上課依學校宣布而定。遠距上課藉由Google Meet方式進行，助教會將連結通知修課同學。上課教室在綜科館318