scholarly journals Drilling head knives degradation modelling based on stochastic diffusion processes backed up by state space models

2022 ◽  
Vol 166 ◽  
pp. 108448
Author(s):  
David Vališ ◽  
Jakub Gajewski ◽  
Marie Forbelská ◽  
Zdeněk Vintr ◽  
Józef Jonak
Keyword(s):  
State Space ◽  
Diffusion Processes ◽  
State Space Models ◽  
Stochastic Diffusion

Simulating Stochastic Diffusions by Quantum Walks

2013 ◽  
Author(s):  
Yan Wang
Keyword(s):  
Monte Carlo ◽  
State Space ◽  
Path Integral ◽  
Diffusion Processes ◽  
Planck Equation ◽  
Quantum Walk ◽  
Quantum Walks ◽  
Step Size ◽  
Stochastic Diffusion ◽  
Time Quantum

Stochastic differential equation (SDE) and Fokker-Planck equation (FPE) are two general approaches to describe the stochastic drift-diffusion processes. Solving SDEs relies on the Monte Carlo samplings of individual system trajectory, whereas FPEs describe the time evolution of overall distributions via path integral alike methods. The large state space and required small step size are the major challenges of computational efficiency in solving FPE numerically. In this paper, a generic continuous-time quantum walk formulation is developed to simulate stochastic diffusion processes. Stochastic diffusion in one-dimensional state space is modeled as the dynamics of an imaginary-time quantum system. The proposed quantum computational approach also drastically accelerates the path integrals with large step sizes. The new approach is compared with the traditional path integral method and the Monte Carlo trajectory sampling.

Parameter Estimation Using a Modified Version of SPSA Algorithm Applied to State Space Models

2009 ◽  
Vol 129 (12) ◽  
pp. 1187-1194 ◽  
Author(s):  
Jorge Ivan Medina Martinez ◽  
Kazushi Nakano ◽  
Kohji Higuchi
Keyword(s):  
Parameter Estimation ◽  
State Space ◽  
State Space Models

Heat transfer modeling and identification using fractional order state space models

2008 ◽  
Vol 42 (6-8) ◽  
pp. 939-951 ◽  
Author(s):  
Tounsia Jamah ◽  
Rachid Mansouri ◽  
Saïd Djennoune ◽  
Maâmar Bettayeb
Keyword(s):  
Heat Transfer ◽  
State Space ◽  
Fractional Order ◽  
State Space Models ◽  
Heat Transfer Modeling ◽  
Order State
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