A Complete Solution to a Simple Case of Dynamic Observer Error Linearization: New Approach to Observer Error Linearization

2011 ◽  
Vol E94-A (1) ◽  
pp. 424-429 ◽  
Author(s):  
Jongwook YANG ◽  
Juhoon BACK ◽  
Jin H. SEO
Keyword(s):  
Complete Solution ◽  
New Approach ◽  
Observer Error ◽  
Dynamic Observer

Dynamic observer error linearization

Automatica ◽  
2006 ◽  
Vol 42 (12) ◽  
pp. 2195-2200 ◽  
Author(s):  
Juhoon Back ◽  
Kyung T. Yu ◽  
Jin H. Seo
Keyword(s):  
Observer Error ◽  
Dynamic Observer

Restricted dynamic observer error linearizability

Automatica ◽  
2015 ◽  
Vol 53 ◽  
pp. 171-178 ◽  
Author(s):  
Hong-Gi Lee ◽  
Kyung-Duk Kim ◽  
Hong-Tae Jeon
Keyword(s):  
Observer Error ◽  
Dynamic Observer

Smoluchowski aggregation–fragmentation equations: Fast numerical method to find steady-state solutions

2015 ◽  
Vol 29 (29) ◽  
pp. 1550208 ◽  
Author(s):  
Vladimir Stadnichuk ◽  
Anna Bodrova ◽  
Nikolai Brilliantov
Keyword(s):  
Steady State ◽  
Numerical Method ◽  
Complete Solution ◽  
Numerical Procedure ◽  
Aggregate Size ◽  
Steady State Solution ◽  
New Approach ◽  
Seed System ◽  
Large Systems ◽  
Steady State Solutions

In this paper, we propose an efficient and fast numerical method of finding a stationary solution of large systems of aggregation–fragmentation equations of Smoluchowski type for concentrations of reacting particles. This method is applicable when the stationary concentrations steeply decrease with increasing aggregate size, which is fulfilled for the most important cases. We show that under rather mild restrictions, imposed on the kernel of the Smoluchowski equation, the following numerical procedure may be used: First, a complete solution for a relatively small number of equations (a “seed system”) is generated and then the result is exploited in a fast iterative scheme. In this way the new approach allows to obtain a steady-state solution for rather large systems of equations, by orders of magnitude faster than the standard schemes.

Reduced-order Dynamic Observer Error Linearization

2010 ◽  
Vol 43 (14) ◽  
pp. 915-920 ◽  
Author(s):  
Jongwook Yang ◽  
Juhoon Back ◽  
Jin H. Seo ◽  
Hyungbo Shim
Keyword(s):  
Reduced Order ◽  
Observer Error ◽  
Dynamic Observer

scholarly journals Egyptian Mathematics Disclosure

2021 ◽  
pp. 120-136
Author(s):  
Olivier Denis
Keyword(s):  
Complete Solution ◽  
Mathematical Problem ◽  
New Approach ◽  
The Core ◽  
Ancient Egyptian ◽  
True Value ◽  
Scientific Approach ◽  
Mathematical Problems ◽  
Opening Up ◽  
Mathematics And Science

Some fundamental mathematical researches have been carried out about mathematical certainties based on ancient Egyptian mathematical sources and their problems following ancient Egyptian Wisdom set of knowledge building the new scientific paradigm following the rediscovery of the true value of PI and following the new approach of Global Dimensional Mathematics [1]. Some fundamental mathematical researches on the foundations of Egyptian mathematics covering the mathematical problem of The Akhmin wooden tablets [2], the tenth and the fourteenth problem of The Moscow Mathematical Papyrus [3] as well as the forty-first and fiftieth problem from The Rhind Mathematical Papyrus [3] have been carried out, without forgotten, the resolution of the fundamental question of the quadrature of the circle which is now effective. In the disclosure of Egyptian mathematics, the new approach to fundamental mathematical notions is established, adding the cornerstone to building the core of the new approach to Egyptian mathematics, mathematics and science in general. The Egyptian mathematics disclosure solves, following the Egyptian approach to mathematics and following ancient Egyptian Wisdom set of knowledge, unsolved ancient Egyptian mathematical problems, such as finding the complete solution and decoding the glyph of the eye of Horus, as well as the problem of the truncated pyramid which has found a solution like the half basket problem found one. The question of the quadrature of the circle shatters the mathematical conceptions with all the consequences that we can only begin to understand. The Egyptian mathematics disclosure forms the basis for building the new scientific approach based on ancestral Egyptian mathematical problems, the true rediscovered value of PI and the new original Global Dimensional Mathematics opening up a still unknown perspective on the world of science in general.

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