Model reduction of switched dynamical systems

Chahlaoui, Younes (2009) Model reduction of switched dynamical systems. In: 4th Conference on Trends in Applied mathematics in Tunisia, Algeria and Morocco., 6-8 May 2009, Kenitra, Morocco. (Submitted)

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Abstract

A hybrid dynamical system is a system described by both differential equations (continuous flows) and difference equations (discrete transitions). It has the benefit of allowing more flexible modeling of dynamic phenomena, including physical systems with impact such as the bouncing ball, switched systems such as the thermostat, and even the internet congestion as examples. Hybrid dynamical systems pose a challenge since almost all reduction methods cannot be directly applied. Here we show some recent developments in the area of model reduction of switched dynamical systems.

Item Type:	Conference or Workshop Item (Paper)
Uncontrolled Keywords:	Model order reduction, switched systems, CICADA.
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 15 Linear and multilinear algebra; matrix theory MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis MSC 2010, the AMS's Mathematics Subject Classification > 93 Systems theory; control
Depositing User:	Dr Younes Chahlaoui
Date Deposited:	24 Apr 2009
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1258

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