Fundamentals of 3M&I-Body System

Masayuki Matsui ()
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Masayuki Matsui: The University of Electro-Communications

Chapter Chapter 2 in Fundamentals and Principles of Artifacts Science, 2016, pp 11-29 from Springer

Abstract: Abstract This chapter describes the mathematical foundations of the 3M&I-body system. The concept of pair matrix was first proposed in 1983 and has been explored and developed into the IO-matrix system with input (revenue) and output (cost/profit). This generalization formed the axiom system of body in vector space, and was applied to a class of Matsui’s equation and Matsui’s matrix equation (Matsui’s ME). Based on this pair matrix, the Sandwich model (S = W model) was proposed in 2009, and was formulated as a type of Matsui’s ME for the cases of enterprise, motor and particle physics bodies. The Matsui’s ME of strategic plan (IDTCBG) type could be generally transformed into the corresponding characteristic equation, and was solved analytically by using the matrix computing method. Finally, the problem of sandwich control was considered by using the progressive method, and 3D dynamism was explored by using the vector cell approach for solving the Matsui equation. The progressive method was extended to the state equation of progressive control with Matsui’s logic of second-order (acceleration) type. Also, the 3D dynamism was obtained by mapping the p-dimension to the p/2 (Z and L domain) control problem in the multidimensional space.

Keywords: Pair matrix; Input/output; Matsui’s equation; Sandwich; Characteristic equation; 3D management (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spbrcp:978-981-10-0473-5_2

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DOI: 10.1007/978-981-10-0473-5_2

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