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 350094 Advanced Linear System 1 3.0 3 ★ Nien-Tsu Hu GAT
DME
機電外國學生專班 12 1 自動化所和機電博班合開

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2025	350094	Advanced Linear System	1	3.0	3	★	Nien-Tsu Hu	GAT DME 機電外國學生專班	12	1	自動化所和機電博班合開

Course Plan：

Instructor Nien-Tsu Hu　Office Hours

Email nthu@ntut.edu.tw

Last Updated 2025-05-21 16:33:45

Course Objective 本課程主要探討多輸入多輸出系統(MIMO)其系統行為之描述，內容包括MIMO系統之穩定性分析、觀察性分析及其控制器設計，並探討MIMO系統的物理觀念及其數學描述的各種方法，是線性系統之進階課程，適合碩士班以上之學生學習。 The main objective of this course is to explore the behaviors of multivariable systems. The contents includes: stability analysis, observability analysis, and controller designs for MIMO linear systems. Besides, we will introduce the physical concept of MMIO linear systems and various methods of describing MIMO linear systems via mathematical model. This is an advanced course to linear system theory, and is especially for graduate students.

Course Schedule 1. 09/09 Introduction 2. 09/16 STATE-SPACE LINEAR SYSTEMS 3. 09/23 STATE-SPACE LINEAR SYSTEMS 4. 09/30 LINEARIZATION 5. 10/07 LINEARIZATION 6. 10/14 LINEARIZATION 7. 10/21 CAUSALITY, TIME INVARIANCE, AND LINEARITY 8. 10/28 CAUSALITY, TIME INVARIANCE, AND LINEARITY 9. 11/04 Midterm Exam 10. 11/11 IMPULSE RESPONSE AND TRANSFER FUNCTION OF STATESPACE SYSTEMS 11. 11/18 IMPULSE RESPONSE AND TRANSFER FUNCTION OF STATESPACE SYSTEMS 12. 11/25 SOLUTIONS TO LTV SYSTEMS 13. 12/02 SOLUTIONS TO LTV SYSTEMS 14. 12/09 SOLUTIONS TO LTI SYSTEMS 15. 12/16 SOLUTIONS TO LTI SYSTEMS 16. 12/23 SOLUTIONS TO LTI SYSTEMS: THE JORDAN NORMAL FORM 17. 12/30 Paper Presentation 18. 01/06 Paper Presentation PS: The contents will be adjusted according to actual needs

Evaluation and grading policy - Class participation: 15% - Assignments: 30% (No assignment turned in late will be accepted) - Midterm exam: 25% - Paper Presentation: 30%

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
1. Linear Systems Theory, 1st Edition, Joao P. Hespanha, W. W. Norton & Co., 2009. 2. Linear Systems, 1st Edition, Thomas Kailath, Prentice-Hall, 1980.

The access to curricular consultation TEL: (02)27712171 Ext. 4324
Email: nthu@ntut.edu.tw
Office Hours:
Wednesday 09:00-17:00
Integrate Technology Complex, Room 604-1

Expanding teaching and resources

The course corresponds to the SDGs 無（None）

Does the course incorporate AI ● 無（None）

Note
Remote Learning will be performed via Microsoft Teams, if required (see https://news.ntut.edu.tw/p/422-1000-1085.php?Lang=zh-tw).

Instructor	Nien-Tsu Hu　Office Hours
Email	nthu@ntut.edu.tw
Last Updated	2025-05-21 16:33:45
Course Objective	本課程主要探討多輸入多輸出系統(MIMO)其系統行為之描述，內容包括MIMO系統之穩定性分析、觀察性分析及其控制器設計，並探討MIMO系統的物理觀念及其數學描述的各種方法，是線性系統之進階課程，適合碩士班以上之學生學習。 The main objective of this course is to explore the behaviors of multivariable systems. The contents includes: stability analysis, observability analysis, and controller designs for MIMO linear systems. Besides, we will introduce the physical concept of MMIO linear systems and various methods of describing MIMO linear systems via mathematical model. This is an advanced course to linear system theory, and is especially for graduate students.
Course Schedule	1. 09/09 Introduction 2. 09/16 STATE-SPACE LINEAR SYSTEMS 3. 09/23 STATE-SPACE LINEAR SYSTEMS 4. 09/30 LINEARIZATION 5. 10/07 LINEARIZATION 6. 10/14 LINEARIZATION 7. 10/21 CAUSALITY, TIME INVARIANCE, AND LINEARITY 8. 10/28 CAUSALITY, TIME INVARIANCE, AND LINEARITY 9. 11/04 Midterm Exam 10. 11/11 IMPULSE RESPONSE AND TRANSFER FUNCTION OF STATESPACE SYSTEMS 11. 11/18 IMPULSE RESPONSE AND TRANSFER FUNCTION OF STATESPACE SYSTEMS 12. 11/25 SOLUTIONS TO LTV SYSTEMS 13. 12/02 SOLUTIONS TO LTV SYSTEMS 14. 12/09 SOLUTIONS TO LTI SYSTEMS 15. 12/16 SOLUTIONS TO LTI SYSTEMS 16. 12/23 SOLUTIONS TO LTI SYSTEMS: THE JORDAN NORMAL FORM 17. 12/30 Paper Presentation 18. 01/06 Paper Presentation PS: The contents will be adjusted according to actual needs
Evaluation and grading policy	- Class participation: 15% - Assignments: 30% (No assignment turned in late will be accepted) - Midterm exam: 25% - Paper Presentation: 30%
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes 1. Linear Systems Theory, 1st Edition, Joao P. Hespanha, W. W. Norton & Co., 2009. 2. Linear Systems, 1st Edition, Thomas Kailath, Prentice-Hall, 1980.
The access to curricular consultation	TEL: (02)27712171 Ext. 4324 Email: nthu@ntut.edu.tw Office Hours: Wednesday 09:00-17:00 Integrate Technology Complex, Room 604-1
Expanding teaching and resources
The course corresponds to the SDGs	無（None）
Does the course incorporate AI	● 無（None）
Note	Remote Learning will be performed via Microsoft Teams, if required (see https://news.ntut.edu.tw/p/422-1000-1085.php?Lang=zh-tw).