CHARACTERIZING THE IRREVERSIBILITY OF HEAT CONDUCTION PROCESS BY ENTRANSY AND ITS DISSIPATION RATE AS LYAPUNOV FUNCTIONS

2018 ◽  
Author(s):  
Yu-Chao Hua ◽  
Zeng-Yuan Guo
Keyword(s):  
Heat Conduction ◽  
Lyapunov Functions ◽  
Dissipation Rate ◽  
Conduction Process ◽  
Heat Conduction Process

Results of mathematical modeling of a heat-conduction process

1980 ◽  
Vol 39 (1) ◽  
pp. 717-721
Author(s):  
A. N. Tikhonov ◽  
N. I. Kulik ◽  
I. N. Shklyarov ◽  
V. B. Glasko
Keyword(s):  
Mathematical Modeling ◽  
Heat Conduction ◽  
Conduction Process ◽  
Heat Conduction Process

The Mathematical Description for the Heat Conduction Process on Planesurfaces of a Solar Collector’S Absorber

2008 ◽  
pp. 721-725
Author(s):  
Peteris Shipkovs ◽  
Martinsh Vanags ◽  
Voldemars Barkans ◽  
Abrams Temkins ◽  
Kristina Lebedeva ◽  
...  
Keyword(s):  
Heat Conduction ◽  
Mathematical Description ◽  
Conduction Process ◽  
Heat Conduction Process

scholarly journals Consensus Information Filtering for Large-Scale Systems with Application to Heat Conduction Process

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Liguo Zhang ◽  
Ying Lyu
Keyword(s):  
Heat Conduction ◽  
Distributed Systems ◽  
Boundary Conditions ◽  
Large Scale ◽  
Information Filtering ◽  
Unknown Boundary ◽  
State Variables ◽  
Conduction Process ◽  
State Estimations ◽  
Heat Conduction Process

For large-scale distributed systems, the evolution of system dynamics is dominated by current states and boundary conditions simultaneously. This work describes a distributed consensus filtering for a class of large-scale distributed systems with unknown boundary conditions, which are monitored by a set of sensors. Because of the difference of spatial positions among the sensor network, only the single state variables or both the states and outside input jointly could be estimates with Kalman information filtering, respectively. On diffusion processing, we fuse the common state estimations of the local information filters using consensus averaging algorithms and algebraic graph theory. Stability and performance analysis is provided for this distributed filtering algorithm. Finally, we consider an application of distributed estimation to a heat conduction process. The performance of the proposed distributed algorithm is compared to the centralized Kalman filtering.

Sign in / Sign up

Export Citation Format

Share Document