• Title/Summary/Keyword: Note Structure

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Designing observer-based robust compensators for parametric uncertain systems by block-diagonal approach (분리 최적화 기법을 이용한 구조적 불확실계의 강인 제어기 설계)

  • 김경수;박영진
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.109-112
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    • 1997
  • In this note, we investigate a noniterative design method of an observer-based robust H$\_$2/ controller in the presence of structured real parameter uncertainty by applying Riccati approach based on the guaranteed cost function. Motivated by the numerical difficulty of the problem, we try to develop a simple design method named as block-diagonal approach, which can be solved by the LMIs method. By assuming the block-diagonal structure of Riccati solution, the original problem can be derived into two sequentially decoupled optimization problems as LQG control problem. The proposed method seems to be numerically efficient in obtaining a feasible compensator.

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A Note on Computing the Crisp Order Context of a Fuzzy Formal Context for Knowledge Reduction

  • Singh, Prem Kumar;Kumar, Ch. Aswani
    • Journal of Information Processing Systems
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    • v.11 no.2
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    • pp.184-204
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    • 2015
  • Fuzzy Formal Concept Analysis (FCA) is a mathematical tool for the effective representation of imprecise and vague knowledge. However, with a large number of formal concepts from a fuzzy context, the task of knowledge representation becomes complex. Hence, knowledge reduction is an important issue in FCA with a fuzzy setting. The purpose of this current study is to address this issue by proposing a method that computes the corresponding crisp order for the fuzzy relation in a given fuzzy formal context. The obtained formal context using the proposed method provides a fewer number of concepts when compared to original fuzzy context. The resultant lattice structure is a reduced form of its corresponding fuzzy concept lattice and preserves the specialized and generalized concepts, as well as stability. This study also shows a step-by-step demonstration of the proposed method and its application.

Short Note on Freshwater Algal Biomass Measurements and Significance in Ecological Community Studies (민물말류 군집 생태 연구시 생체량 계산의 의미와 예)

  • Chung, Sang-Ok
    • ALGAE
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    • v.19 no.2
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    • pp.149-151
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    • 2004
  • Freshwater algae make up a very important portion of the autotrophic component of the aquatic food web. Therefore, the study of freshwater algal structure and biomass is central to aquatic ecosystem studies. Due to variations in cell shape and size for each species (or taxon) and survey site, cell abundance (or cell numbers per chosen volume) often leads to misrepresentation of the true importance of some species because of the great differences in size of various algae. Thus, it is necessary to investigate the freshwater algal species of a site in order to calculate the cell volume. Although direct cell counting, species volume measurement, as well as biomass calculation are time-consuming and requiring specialists in taxonomy.

A NOTE ON THE UNITS OF MANTACI-REUTENAUER ALGEBRA

  • Arslan, Hasan;Can, Himmet
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.4
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    • pp.1037-1049
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    • 2018
  • In this paper, we have first presented the construction of the linear characters of a finite Coxeter group $G_n$ of type $B_n$ by lifting all linear characters of the quotient group $G_n/[G_n,G_n]$ of the commutator subgroup $[G_n,G_n]$. Also we show that the sets of distinguished coset representatives $D_A$ and $D_{A^{\prime}}$ for any two signed compositions A, A' of n which are $G_n$-conjugate to each other and for each conjugate class ${\mathcal{C}}_{\lambda}$ of $G_n$, where ${\lambda}{\in}\mathcal{BP}(n)$, the equality ${\mid}{\mathcal{C}}_{\lambda}{\cap}D_A{\mid}={\mid}{\mathcal{C}}_{\lambda}{\cap}D_{A^{\prime}}{\mid}$ holds. Finally, we have given the general structure of units of Mantaci-Reutenauer algebra.

QUASI-COMMUTATIVITY RELATED TO POWERS

  • Kim, Hyun-Min;Li, Dan;Piao, Zhelin
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.6
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    • pp.2107-2117
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    • 2017
  • We study the quasi-commutativity in relation with powers of coefficients of polynomials. In the procedure we introduce the concept of ${\pi}$-quasi-commutative ring as a generalization of quasi-commutative rings. We show first that every ${\pi}$-quasi-commutative ring is Abelian and that a locally finite Abelian ring is ${\pi}$-quasi-commutative. The role of these facts are essential to our study in this note. The structures of various sorts of ${\pi}$-quasi-commutative rings are investigated to answer the questions raised naturally in the process, in relation to the structure of Jacobson and nil radicals.

A switching-based delay optimal aggregation tree construction: An algorithm design (에이전트 시스템 개발도구에 관한 연구)

  • Nguyen, Dung T.;Yeom, Sanggil;Choo, Hyunseung
    • Annual Conference of KIPS
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    • 2017.04a
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    • pp.677-679
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    • 2017
  • Data convergecast is an indispensable task for any WSN applications. Typically, scheduling in the WSN consists of two phases: tree construction and scheduling. The optimal tree structure and scheduling for the network is proven NP-hard. This paper focuses on the delay optimality while constructing the data convergecast tree. The algorithm can take any tree as the input, and by performing the switches (i.e. a node changes its parent), the expected aggregation delay is potentially reduced. Note that while constructing the tree, only the in-tree collisions between the child nodes sending data to their common parent is considered.

A NOTE ON CONSTRUCTING $2^{n}3^1$ AND $2^{1}3^3$ DESIGNS WHEN LINEAR TERMS ARE ESSENTIAL

  • LIAU PEN-HWANG
    • Journal of the Korean Statistical Society
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    • v.34 no.2
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    • pp.141-151
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    • 2005
  • Under the assumption that the three-level factors are quantitative, the linear effects are taken more attention than the quadratic effects of the interaction terms. Webb (1971) presented some small incomplete factorial designs that are mixed two- and three-level designs with 20 or fewer runs. The designs provided the estimating linear-by-linear components of interactions between the three-level factors; moreover, they could also offer estimation of interactions that interest the experiments. Webb used ad hoc methods to find these plans; hence, there was still no unified structure to those experiments. In this paper, we develop the methods to construct the $2^{n}3^3$ and $2^{1}3^3$ designs. The designs constructed by these methods not only supply orthogonal estimates of all the main effects but also permit estimation of all the two-factor interactions not involving the quadratic effects. Furthermore, the designs we find are nearly orthogonal.

A Poof of Utkin's Theorem for a MI Uncertain Linear Case (Utkin 정리의 다입력 불확실 선형 시스템에 대한 증명)

  • Lee, Jung-Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.9
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    • pp.1680-1685
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    • 2010
  • In this note, a proof of Utkin's theorem is presented for a MI(Multi Input) uncertain linear case. The invariance theorem with respect to the two transformation methods so called the two diagonalization methods are proved clearly and comparatively for MI uncertain linear systems. With respect to the sliding surface transformation and the control input transformation, the equation of the sliding mode i.e., the sliding surface is invariant. Both control inputs have the same gains. By means of the two transformation methods the same results can be obtained. Through an illustrative example and simulation study, the usefulness of the main results is verified.

Lattice Contraction Behavior Occurring in Ionic Clathrate Hydrate (이온성 크러스레이트 하이드레이트의 격자 수축 거동)

  • Kwon, Minchul;Cha, Minjun;Shin, Kyuchul;Lee, Huen
    • 한국신재생에너지학회:학술대회논문집
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    • 2011.05a
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    • pp.150.2-150.2
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    • 2011
  • Unlike non-ionic clathrate hydrates stably formed by van der Waals interaction between a guest molecule and a surrounding host framework, ionic clathrate hydrates are stabilized by ionic interaction between an ionic guest molecule and the host water-framework. Here, we firstly described the stable entrapment of the superoxide ions in ${\gamma}$-irradiated $Me_4NOH+O_2$ hydrate. Owing to peculiar direct guest-guest ionic interaction, the lattice structure of ${\gamma}$-irradiated $Me_4NOH+O_2$ hydrate shows significant change of lattice contraction behavior even at relatively high temperature(120K). Particularly, we note that ionic-induced dimensional change is much greater than thermal-induced change. Such findings are expected to provide useful information for a better understanding of unrevealed nature of clathrate hydrate fields.

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