Volume 24, Number 2, April–June 2018
|Page(s)||709 - 719|
|Published online||26 January 2018|
Bang-bang control of a thermostat with nonconstant cooling power
SRM University AP – Amaravati, Andhra Pradesh – 522503, India and Matrosov Institute for System Dynamics and Control Theory, Russian Academy of Sciences,
a Corresponding author: firstname.lastname@example.org
Revised: 12 May 2017
Accepted: 11 September 2017
A control system describing the dynamic behavior of a car thermostat is considered. The cooling power of the car’s radiator is allowed to depend on the ambient temperature. This physically natural assumption presents some challenges to mathematical investigation of the model. The existence and some properties of solutions of the control system are established.
Mathematics Subject Classification: 47J22 / 47H14 / 47J35 / 49J53
Key words: Evolution system / time delay / hysteresis / thermostat / bang-bang controls
© EDP Sciences, SMAI 2018
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.