Nonlinear Systems Theory (ELEN90028)

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.