Title :
Boundedness and stability of temperature in thermistors
Author :
Shahruz, S.M. ; Kirjner-Neto, C.
Author_Institution :
Berkeley Eng. Res. Inst., CA, USA
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;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.533824
