Towards model simplification of uncertain complex dynamical systems

The use of simulation models in the design and verification of complex industrial systems is becoming standard practice. All models of physical processes are uncertain either due to unknown/ignored phenomena or inherent uncertainty due to variations in operating conditions and/or physical properties. This paper considers the second class of problems where the uncertainty can be characterized through an external uncertain parameter that may be time dependent as well as random. We formulate an approach for analysis of such system based on the theory of Random Dynamical Systems and present a model reduction approach under the assumption of time scale separation between the system and parameter dynamics.