A Sampled-Data Singularly Perturbed Boundary Control for a Heat Conduction System With Noncollocated Observation

2009 ◽  
Vol 54 (6) ◽  
pp. 1305-1310 ◽  
Author(s):  
Meng-Bi Cheng ◽  
V. Radisavljevic ◽  
Chung-Cheng Chang ◽  
Chia-Fu Lin ◽  
Wu-Chung Su
Keyword(s):  
Heat Conduction ◽  
Boundary Control ◽  
Conduction System ◽  
Singularly Perturbed ◽  
Sampled Data

Continuous Dependence on the Initial-Time Geometry in Generalized Heat Conduction

1997 ◽  
Vol 07 (01) ◽  
pp. 125-138 ◽  
Author(s):  
L. E. Payne ◽  
J. C. Song
Keyword(s):  
Heat Conduction ◽  
Initial Data ◽  
Continuous Dependence ◽  
Conduction System ◽  
Initial Time ◽  
Generalized Heat Conduction

In this paper we investigate continuous dependence on the initial-time geometry for solutions of a generalized heat conduction system. Assuming the initial data to be measured on a surface t = εF(x), for |F| < 1, and assigned at t = 0, we examine the effects of this error in the initial-time geometry on the solution both forward and backward in time.

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