• Title/Summary/Keyword: irreducible S-system

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SOME REMARKS ON IRREDUCIBLE AUTOMATA AND PRIMITIVE SEMIGROUPS ASSOCIATED WITH THEM

  • Park, Chin-Hong;Shim, Hong-Tae
    • Journal of applied mathematics & informatics
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    • v.14 no.1_2
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    • pp.485-491
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    • 2004
  • We shall discuss irreducible and primitive S-automata. A variety of properties of transitive and primitive semigroups associated with them have been obtained. Also a classification of primitive semi groups will be given with S-automata.

SOME REMARKS ON S-SYSTEMS AND RADICAL ASSOCIATED WITH A SEMIGROUP S

  • Park, Chin-Hong
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.449-458
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    • 2002
  • We shall give a gereralization for a new right congruence induced by right congruences on S and right ideals of S and discuss the radicals associated with automata. Also we shall discuss the relationship between the collection of all right ideals in S and the collection of all right congruences on S.

Oscillation Motion Control of Gantry Crane System with Arm for Anti-Sway (Anti-sway용 암을 가진 겐트리 크레인의 흔들림저감 제어)

  • Kim, H.S.;Park, H.S.;Lee, D.H.;Park, J.H.;Kim, S.B.
    • Journal of Power System Engineering
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    • v.2 no.1
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    • pp.73-79
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    • 1998
  • In practical fields, the sway of crane systems leads to extra stress to the crane structure during the transporting operation and it is in close connection with its life. Usually, when we operate the cranes with high speed and manual control, the sway motion is irreducible. In this paper, a new type of crane system is proposed to avoid the irreducible sway of the crane systems. The proposed system is composed of mechanical arm with function of anti-sway based on conventional line system. By the anti-sway arm, we can realize to prevent the sway of the container box but cannot avoid the oscillation for the overall body of the crane. So, a controller design method to solve the above stated problem must be considered. The problem is solved by adopting the velocity pattern control methods of trapezoidal and curve types and its effectiveness is proved through experimental results.

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ON NEWTON'S METHOD FOR SOLVING A SYSTEM OF NONLINEAR MATRIX EQUATIONS

  • Kim, Taehyeong;Seo, Sang-Hyup;Kim, Hyun-Min
    • East Asian mathematical journal
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    • v.35 no.3
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    • pp.341-349
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    • 2019
  • In this paper, we are concerned with the minimal positive solution to system of the nonlinear matrix equations $A_1X^2+B_1Y +C_1=0$ and $A_2Y^2+B_2X+C_2=0$, where $A_i$ is a positive matrix or a nonnegative irreducible matrix, $C_i$ is a nonnegative matrix and $-B_i$ is a nonsingular M-matrix for i = 1, 2. We apply Newton's method to system and present a modified Newton's iteration which is validated to be efficient in the numerical experiments. We prove that the sequences generated by the modified Newton's iteration converge to the minimal positive solution to system of nonlinear matrix equations.

Low Complexity GF(2$^{m}$ ) Multiplier based on AOP (회로 복잡도를 개선한 AOP 기반의 GF(2$^{m}$ ) 승산기)

  • 변기영;성현경;김흥수
    • Proceedings of the IEEK Conference
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    • 2003.07c
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    • pp.2633-2636
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    • 2003
  • This study focuses on the new hardware design of fast and low-complexity multiplier over GF(2$\^$m/). The proposed multiplier based on the irreducible all one polynomial (AOP) of degree m, to reduced the system's complexity. It composed of Cyclic Shift, Partial Product, and Modular Summation Blocks. Also it consists of (m+1)$^2$2-input AND gates and m(m+1) 2-input XOR gates. Out architecture is very regular, modular and therefore, well-suited for VLSI implementation.

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Novel Approach for Eliminating BER Irreducible Floor in the Enhanced Blind Cyclic Detection for Space-Time Coding

  • Pham, Van-Su;Le, Minh-Tuan;Mai, Linh;Kabir, S.M.Humayun;Yoon, Gi-Wan
    • Journal of information and communication convergence engineering
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    • v.6 no.2
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    • pp.150-153
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    • 2008
  • In the blind Maximum-likelihood (ML) detection for Orthogonal Space-Time Block Codes (OSTBC), the problem of ambiguity in determining the symbols has been a great concern. A possible solution to this problem is to apply semi-blind ML detection, i.e. the blind ML decoding with pilot symbols or training sequence. In order to increase the performance, the number of pilot symbols or length of training sequence should be increased. Unfortunately, this leads to a significantly decrease in system spectral efficiency. This work presents an approach to resolve the aforementioned issue by introducing a new method for constructing transmitted information symbols, in which transmitting information symbols drawn form different modulation constellations. Therefore, the ambiguity can be easily eliminated. In addition, computer simulation is implemented to verify the performance of the proposed approach.