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12529 (v.2) Systems Theory and Control 302


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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