Geodesic
Bang-bang control of a thermostat with nonconstant cooling power
ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 2, pp. 709-719

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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.

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DOI : 10.1051/cocv/2017064
Classification : 47J22, 47H14, 47J35, 49J53
Keywords: Evolution system, time delay, hysteresis, thermostat, bang-bang controls 
Timoshin, Sergey A. Bang-bang control of a thermostat with nonconstant cooling power. ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 2, pp. 709-719. doi: 10.1051/cocv/2017064
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     title = {Bang-bang control of a thermostat with nonconstant cooling power},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {709--719},
     year = {2018},
     publisher = {EDP-Sciences},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2017064/}
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