Bang-bang control of a thermostat with nonconstant cooling power

Sergey A. Timoshin

doi:10.1051/cocv/2017064

Bang-bang control of a thermostat with nonconstant cooling power

Sergey A. Timoshin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	709-719
Number of pages	11
Journal	ESAIM - Control, Optimisation and Calculus of Variations
Volume	24
Issue number	2
DOIs	https://doi.org/10.1051/cocv/2017064
Publication status	Published - 1 Apr 2018
Externally published	Yes

Keywords

Bang-bang controls
Evolution system
Hysteresis
Thermostat
Time delay

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10.1051/cocv/2017064

Cite this

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title = "Bang-bang control of a thermostat with nonconstant cooling power",

abstract = "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.",

keywords = "Bang-bang controls, Evolution system, Hysteresis, Thermostat, Time delay",

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year = "2018",

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doi = "10.1051/cocv/2017064",

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N2 - 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.

AB - 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.

KW - Bang-bang controls

KW - Evolution system

KW - Hysteresis

KW - Thermostat

KW - Time delay

UR - https://www.scopus.com/pages/publications/85048704523

U2 - 10.1051/cocv/2017064

DO - 10.1051/cocv/2017064

M3 - Article

AN - SCOPUS:85048704523

SN - 1292-8119

VL - 24

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JO - ESAIM - Control, Optimisation and Calculus of Variations

JF - ESAIM - Control, Optimisation and Calculus of Variations

IS - 2

ER -

Bang-bang control of a thermostat with nonconstant cooling power

Abstract

Keywords

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