| Issue |
ESAIM: COCV
Volume 24, Number 2, April–June 2018
|
|
|---|---|---|
| Page(s) | 709 - 719 | |
| DOI | https://doi.org/10.1051/cocv/2017064 | |
| 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,
Irkutsk,
664033 Russia
a Corresponding author: sergey.timoshin@gmail.com
Received:
24
May
2016
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
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