Coursecode: wb2424

Coursename: Mathematics in Systems and Control

DUT creditpoints: 4

ECTS creditpoints: 6

Faculty of  Mechanical Engineering and Marine Technology

Lecturer(s): Prof. dr. C. Scherer

Tel.:  015-27 85899

Catalog data:

·       Linear algebra: vector spaces, linear mappings, linear manifolds, eigenvalues/eigenvectors, norms, inner products

·       Analysis: Continuity, differentiation, linearization, implicit function theorem, non-linear manifolds, differential equations

·       Optimization: Simplex-method, optimality conditions, Lagrange-multipliers, Kuhn-Tucker conditions, Newton- and descent algorithms, penalty and barrier techniques

Course year: MSc 1st year

Period: 1A / 1B / 2A / 2B

Hours p/w: 2

Other hours:

Assessment: Paper and computer exercises

Assessm.period(s):

(see academic calendar)

Prerequisites:

Follow up:

Detailed description of topics:

·       Recap of basic mathematical concepts (logic, sets, mappings)

·       Linear structures and their relevance in modeling, steering and control problems

·       Handling non-linear control and design problems with techniques from mathematical analysis

·       Basic concepts of optimization theory: Linear programming, non-linear programming, optimality conditions, convexity, duality, algorithms

·       Various applications to concrete engineering and control problems

Course material: Slide-handouts

References from literature: 

Remarks (specific information about assessment, entry requirements, etc.): Recap and extension of basic mathematics

Goals: 

Computer use:

Computer exercises with Matlab.

Laboratory project(s):

Design content:

Percentage of design: