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2008.102: Dynamics of a hybrid thermostat model with discrete sampling time control

2008.102: Paul Glendinning and Piotr Kowalczyk (2008) Dynamics of a hybrid thermostat model with discrete sampling time control.

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Abstract

The dynamics of a simple thermostat model is described. In the model the control system samples the temperature at regular but discrete time intervals rather than by continuous monitoring. The model exhibits quasi-periodic oscillations and banding, where the response falls into two or more bands of phase space representing either better or poorer control. A return circle map is derived which explains the observed dynamics. Some extensions of these results to the case where the flow is nonlinear are also given.

Item Type:MIMS Preprint
Uncontrolled Keywords:CICADA
Subjects:MSC 2000 > 37 Dynamical systems and ergodic theory
MSC 2000 > 39 Difference and functional equations
MSC 2000 > 93 Systems theory; control
MIMS number:2008.102
Deposited By:Professor Paul Glendinning
Deposited On:06 February 2009

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