12529 (v.2) Systems Theory and Control 302
| Area: | Department of Mathematics and Statistics |
| Contact Hours: | 4.0 |
| Credits: | 25.0 |
| Lecture: | 3 x 1 Hours Weekly |
| Tutorial: | 1 x 1 Hours Weekly |
| Prerequisite(s): | 8127 (v.5) Mathematics 201 or any previous version
AND
8128 (v.6) Linear Algebra 202 or any previous version
|
| 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. |
| Year | Location | Period | Internal | Area External | Central External | | 2003 | Bentley Campus | Semester 2 | Y | | | |
Current as of: October 30, 2003 13:11:55
CRICOS provider code 00301J
