309.023 Stability of motion
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2020W, VO, 2.0h, 3.0EC


  • Semester hours: 2.0
  • Credits: 3.0
  • Type: VO Lecture
  • Format: Distance Learning

Learning outcomes

After successful completion of the course, students are able to:

  • continue the module Vehicle System Dynamics and to perform the following tasks for the investigation of the stability of motion, particularly also for vehicles
  • explicate the basic concepts of stability theory and the different methods for the stability analysis of moving systems
  • formulate the basic equations, in particular also the variational equations
  • explicate linear variational equations with both constant and variable coefficients and apply them to stability problems
  • perform investigations in the phase plane, also for non-linear systems
  • explicate and apply Ljapunov's direct method

Subject of course

Basic concepts and definitions of stability; variational equations; linear variational equations with constant and variable coefficients; methods for the analysis of stability of linear/linearized systems; treatment of non-linear systems (phase space, Ljapunov's direct method), theory and application of Ljapunov functions, problems.

Teaching methods

Presentation of fundamentals and application based on examples.

Mode of examination




Course dates

Fri13:00 - 13:3009.10.2020Seminarraum BA 05 Vorbesprechung
Fri13:00 - 18:0016.10.2020 - 22.01.2021Seminarraum BA 05 Vorlesung
Stability of motion - Single appointments
Fri09.10.202013:00 - 13:30Seminarraum BA 05 Vorbesprechung
Fri16.10.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri23.10.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri30.10.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri06.11.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri13.11.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri20.11.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri27.11.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri04.12.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri11.12.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri18.12.202013:00 - 18:00Seminarraum BA 05 Vorlesung
Fri08.01.202113:00 - 18:00Seminarraum BA 05 Vorlesung
Fri15.01.202113:00 - 18:00Seminarraum BA 05 Vorlesung
Fri22.01.202113:00 - 18:00Seminarraum BA 05 Vorlesung

Examination modalities

Written exam.

Course registration

Begin End Deregistration end
14.09.2020 10:00 02.11.2020 00:00


Study CodeSemesterPrecon.Info
066 445 Mechanical Engineering STEOP
Course requires the completion of the introductory and orientation phase
066 482 Mechanical Engineering - Management STEOP
Course requires the completion of the introductory and orientation phase
700 Mechanical Engineering


Lecture notes for this course are available. Skelettskriptum am Institut

Previous knowledge

Basic knowledge of mechanics and mathematics.