Boundedness and stability of temperature in thermistors

Author

Shahruz, S.M. ; Kirjner-Neto, C.

Author_Institution

Berkeley Eng. Res. Inst., CA, USA

Volume

5

fYear

1995

fDate

21-23 Jun 1995

Firstpage

3679

Abstract

The evolution of temperature along thermistors can be modeled by a reaction-diffusion equation. In this paper, it is proved that the mathematical model of temperature evolution in thermistors has a unique, bounded, and non-negative solution. It is further proved that the steady-state temperature profile of thermistors is unique and asymptotically stable. Finally, the bounded-input bounded-output (BIBO) stability of a class of systems represented by nonlinear partial differential equations of reaction-diffusion type, to which the thermistor model belongs, is established

Keywords

asymptotic stability; nonlinear differential equations; partial differential equations; semiconductor device models; temperature; temperature distribution; thermistors; BIBO stability; asymptotic stability; bounded-input bounded-output stability; mathematical model; nonlinear partial differential equations; reaction-diffusion equation; temperature evolution; temperature profile; thermistors; Boundary conditions; Conductivity; Electric potential; Laboratories; Mathematical model; Partial differential equations; Steady-state; Temperature; Thermal stability; Thermistors;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, Proceedings of the 1995

Conference_Location

Seattle, WA

Print_ISBN

0-7803-2445-5

Type

conf

DOI

10.1109/ACC.1995.533824

Filename

533824