| Area: |
Department of Mathematics and Statistics |
| Credits: |
25.0 |
| Contact Hours: |
4.0 |
| |
| ** The tuition pattern below provides details of the types of classes and their duration. This is to be used as a guide only. For more precise information please check your unit outline. ** |
| |
| Lecture: |
3 x 1 Hours Weekly |
| Tutorial: |
1 x 1 Hours Weekly |
| Prerequisite(s): |
8127 (v.6) Advanced Calculus 201 or any previous version
AND
8128 (v.6) Linear Algebra 202 or any previous version
|
| |
| Syllabus: |
Introduction to the state space description of continuous time dynamical systems; equilibrium points; limit cycles; phase plane analysis of second order systems; general stability concepts for autonomous systems; Lyapunov stability theory (first and second methods of Lyapunov, linearization, invariant sets, Lyapunov equation for linear systems); variable gradient method; stability of systems arising from population dynamics; introduction to control systems (open loop and feedback control, linear systems,controllability, observability, nonlinear systems); optimal control problems (general canonical form, examples); optimality conditions (Euler-Lagrange equations, Pontryagin minimum principle); singular control, time optimal control, Hamilton- Jacobi-Bellman equation and application to linear quadratic regulator problem; optimal parameter selection problems; gradient derivation; control parametrization; MISER3; conversion of nonstandard problems into canonical form. |
| |
| ** To ensure that the most up-to-date information about unit references, texts and outcomes appears, they will be provided in your unit outline prior to commencement. ** |
| |
| Field of Education: | 10101 Mathematics |
| Funding Cluster: | 04 - Mathematics, Statistics |
| SOLT (Online) Definitions*: | Not Online
*Extent to which this unit or thesis utilises online information |
| Result Type: | Grade/Mark |
Availability |
| Year |
Location |
Period |
Internal |
Partially Online Internal |
Area External |
Central External |
Fully Online |
| 2005 |
Bentley Campus |
Semester 2 |
Y |
|
|
|
|
Area
External |
refers to external course/units run by the School or Department or offered by research. |
Central
External | refers to external and online course/units run through the Curtin Bentley-based Distance Education Area |
Partially
Online
Internal | refers to some (a portion of) learning provided by interacting with or downloading pre-packaged material from the Internet but with regular and ongoing participation with a face-to-face component retained. Excludes partially online internal course/units run through the Curtin Bentley-based Distance Education Area which remain Central External |
Fully
Online | refers to the main (larger portion of) mode of learning provided via Internet interaction (including the downloading of pre-packaged material on the Internet). Excludes online course/units run through the Curtin Bentley-based Distance Education Area which remain Central External |
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