Course Syllabus

Course Information：

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2026	363364	Stability Analysis of Control Systems	1	3.0	3	★	Kuang-Yow Lian	GEE	24	0

Course Plan：

Instructor	Kuang-Yow Lian　Office Hours
Email	kylian@ntut.edu.tw
Last Updated	2026-08-07 17:48:05
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 9. Control barrier function 簡介
Course Schedule (Week 1-16)	Week 1-2: Review of feedback systems Week 2-3: Review of mathematical background ; Week 3-5: Stability of linear systems Week 6-7: Lyapunov Stability for nonlinear systems; Week 8-9: LaSalle theory and Barbalat's lemma; Week 10: Lagrange mechanical systems and their stability Week 11: Stability for time-delay systems Week 12-14: Design and analysis for TS fuzzy systems Week 15: Control barrier function Week 16: Final presentation.
Flexible Learning (Week 17-18)	Category ● 參與課程相關作業、作品、實驗、田野調查(Participation in course-related assignments, works, experiments, or field research) Content 「課程進度」第16週開始進入期末報告，當週修課同學按其選定主題(需與課程相關)進行摘要報告。 報告同學參照各方建議後，繼續於17-18週逐步完善報告內容。 Hours 6 Learning Outcomes 修課同學按其選定主題(需與課程相關)，以電子檔方式繳交期末書面報告。 Assessment Percentage 期末書面報告佔總成績30%。
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	● 參與式創新教學 (Participatory & Innovative Teaching) 強調學生參與與產出，導入翻轉、PBL/專題、設計思考或遊戲化等策略。 Emphasizes student engagement and outcomes by adopting strategies such as Flipped Classroom, PBL (Problem/Project- Based Learning), Design Thinking, or Gamification.
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	● 使用生成式AI作為教學過程的輔助工具（Use generative AI tools as an aid to the teaching process） ● 鼓勵學生使用生成式AI工具（Encourage students to use generative AI tools） ● 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514