Linear Systems Theory

This subject is not offered in 2013.

120 hours

Enrolment in a research higher degree(Masters or PhD) in Engineering

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For the purposes of considering request for Reasonable Adjustments under the Disability Standards for Education (Cwth 2005), and Students Experiencing Academic Disadvantage Policy, academic requirements for this subject are articulated in the Subject Description, Subject Objectives, Generic Skills and Assessment Requirements of this entry. The University is dedicated to provide support to those with special requirements. Further details on the disability support scheme can be found at the Disability Liaison Unit website: http://www.services.unimelb.edu.au/disability/

Topics covered include: linear analysis - vector spaces and linear operators; state-space models - stability, observability, reachability, balanced truncation; quadratic optimisation in control and filtering; stability and robustness of feedback interconnections.

The aim of this subject is to give students a rigorous introduction to the mathematical tools commonly employed in the analysis and design of linear systems.

• Continuous assessment of homework assignments, not exceeding 30 pages in total over the semester, worth 40%;
• Final examination at the end of semester, worth 60%. Students must pass the final exam in order to pass the subject.

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This subject is not available as a breadth subject.

• 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