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Nonlinear Systems Theory (ELEN90028)
Graduate courseworkPoints: 12.5On Campus (Parkville)
About this subject
- Overview
- Eligibility and requirements
- Assessment
- Dates and times
- Further information
- Timetable(opens in new window)
Contact information
Semester 1
Email: yingt@unimelb.edu.au
Overview
Availability | Semester 1 |
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Fees | Look up fees |
AIMS
The aim of this subject is to give students an introduction to some advanced topics in the analysis of nonlinear systems.
INDICATIVE CONTENT
Topics include: properties of solutions of nonlinear differential equations; Lyapunov stability theory; linearization; the invariance principle; converse stability theorems; input-output stability; stability of perturbed systems; averaging, singular perturbations.
Intended learning outcomes
INTENDED LEARNING OUTCOMES (ILOs)
On completing this subject the student should be able to:
- Understand the fundamental properties of nonlinear systems, such as the existence, uniqueness and continuity of solutions
- Apply fundamental Lyapunov stability techniques in the analysis of nonlinear systems, as they arise in a variety of contexts
- Apply input-output stability concepts for stability analysis of interconnected nonlinear systems
- Apply averaging techniques for approximation of solutions and stability analysis of nonlinear systems
- Apply singular perturbation techniques for approximation of solutions and stability analysis of nonlinear systems.
Generic skills
On completion of this subject, students will have developed the following skills:
- Ability to apply knowledge of basic science and engineering fundamentals;
- In-depth technical competence in at least one engineering discipline;
- Ability to undertake problem identification, formulation and solution;
- Ability to utilise a systems approach to design and operational performance;
- Expectation of the need to undertake lifelong learning, capacity to do so;
- Capacity for independent critical thought, rational inquiry and self-directed learning;
- Intellectual curiosity and creativity, including understanding of the philosophical and methodological bases of research activity;
- Openness to new ideas and unconventional critiques of received wisdom;
- Profound respect for truth and intellectual integrity, and for the ethics of scholarship.
Last updated: 3 November 2022
Eligibility and requirements
Prerequisites
Enrolment in a research higher degree (MPhil or PhD) in Engineering.
Corequisites
None
Non-allowed subjects
None
Inherent requirements (core participation requirements)
The University of Melbourne is committed to providing students with reasonable adjustments to assessment and participation under the Disability Standards for Education (2005), and the Assessment and Results Policy (MPF1326). Students are expected to meet the core participation requirements for their course. These can be viewed under Entry and Participation Requirements for the course outlines in the Handbook.
Further details on how to seek academic adjustments can be found on the Student Equity and Disability Support website: http://services.unimelb.edu.au/student-equity/home
Last updated: 3 November 2022
Assessment
Additional details
- Continuous assessment of homework assignments, not exceeding 30 pages in total over the semester (approximately 55-60 hours of work), worth 40% (Addressing ILOs 1-5);
- Final examination at the end of semester, worth 60% (Addressing ILOs 1-5).
Hurdle requirement: Students must pass the end of semester examination to pass the subject.
Last updated: 3 November 2022
Dates & times
- Semester 1
Principal coordinator Ying Tan Mode of delivery On Campus (Parkville) Contact hours 36 hours of lectures Total time commitment 200 hours Teaching period 27 February 2017 to 28 May 2017 Last self-enrol date 10 March 2017 Census date 31 March 2017 Last date to withdraw without fail 5 May 2017 Assessment period ends 23 June 2017 Semester 1 contact information
Email: yingt@unimelb.edu.au
Time commitment details
200 hours
Last updated: 3 November 2022
Further information
- Texts
Prescribed texts
None
Recommended texts and other resources
Hassan Khalil, "Nonlinear Systems"
- Related Handbook entries
This subject contributes to the following:
Type Name Course Doctor of Philosophy - Engineering Course Master of Philosophy - Engineering Course Ph.D.- Engineering - Available through the Community Access Program
About the Community Access Program (CAP)
This subject is available through the Community Access Program (also called Single Subject Studies) which allows you to enrol in single subjects offered by the University of Melbourne, without the commitment required to complete a whole degree.
Entry requirements including prerequisites may apply. Please refer to the CAP applications page for further information.
Additional information for this subject
Subject coordinator approval required
Last updated: 3 November 2022