This manuscript contains descriptions of modelling and simulation methods and aims at understanding the characteristics of complex (and other) dynamical systems in order to influence them effectively.

Consequently, it is required to know how to apply methods of modelling and analysis of such systems, their subsystems and components reasonably. This lecture deals with:

  • mathematical formulations of dynamical systems
  • modelling techniques,
  • simulation,
  • numerical methods to integrate differential equations and to solve non-linear equation systems,
  • identification and estimation of system parameters,
  • stabilizing characteristics of dynamical systems.