• Title/Summary/Keyword: Matrix functions

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Decoupling Controller Design for H Performance Condition

  • Park, Tae-Dong;Choi, Goon-Ho;Cho, Yong-Seok;Park, Ki-Heon
    • Journal of Electrical Engineering and Technology
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    • v.6 no.6
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    • pp.874-882
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    • 2011
  • The decoupling design for the one-degree-of-freedom controller system is treated within the $H_{\infty}$ framework. In the present study, we demonstrate that the $H_{\infty}$ performance problem in the decoupling design is reduced into interpolation problems on scalar functions. To guarantee the properness of decoupling controllers and the overall transfer matrix, the relative degree conditions on the interpolating scalar functions are derived. To find the interpolating functions with relative degree constraints, Nevanlinna-Pick algorithm with starting function constraint is utilized in the present study. An illustrative example is given to provide details regarding the solution.

Axisymmetric analysis of multi-layered transversely isotropic elastic media with general interlayer and support conditions

  • Lee, J.S.;Jiang, L.Z.
    • Structural Engineering and Mechanics
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    • v.2 no.1
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    • pp.49-62
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    • 1994
  • Based on the transfer matrix approach and integral transforms, a solution method is developed for the stress analysis of axisymmetrically loaded transversely isotropic elastic media with generalized interlayer and support conditions. Transfer functions (Green's functions in the transformed domain) are obtained in explicit integral form. For several problems of practical interest with different loading and support conditions, solutions are worked out in detail. For the inversion operation, an efficient technique is introduced to remedy the slow convergence of numerical integrals involving oscillating functions. Several illustrative examples are considered and numerical results are presented.

Current Understanding on the Metabolism of Neutrophils

  • Jae-Han Jeon;Chang-Won, Hong;Eun Young Kim;Jae Man Lee
    • IMMUNE NETWORK
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    • v.20 no.6
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    • pp.46.1-46.13
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    • 2020
  • Neutrophils are innate immune cells that constitute the first line of defense against invading pathogens. Due to this characteristic, they are exposed to diverse immunological environments wherein sources for nutrients are often limited. Recent advances in the field of immunometabolism revealed that neutrophils utilize diverse metabolic pathways in response to immunological challenges. In particular, neutrophils adopt specific metabolic pathways for modulating their effector functions in contrast to other immune cells, which undergo metabolic reprogramming to ensure differentiation into distinct cell subtypes. Therefore, neutrophils utilize different metabolic pathways not only to fulfill their energy requirements, but also to support specialized effector functions, such as neutrophil extracellular trap formation, ROS generation, chemotaxis, and degranulation. In this review, we discuss the basic metabolic pathways used by neutrophils and how these metabolic alterations play a critical role in their effector functions.

Robust stability analysis of uncertain linear systems with input saturation using piecewise Lyapunov functions (불연속 리아푸노프 함수를 이용한 입력제한이 있는 불확실 선형 시스템의 안정성 해석)

  • Lee, Sang-Moon;Won, Sang-Chul
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.131-134
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    • 2003
  • In this paper, we consider the problem of finding the stability region in state space for uncertain linear systems with input saturation. For stability analysis, two Lyapunov functions are chosen. One is for the lineal region and the other is for the saturated legion. Piecewise Lyapunov functions are obtained by solving successive linear matrix inequalites(LMIs) relaxations. A sufficient condition for robust stability is derived in the form of stability region of initial conditions. A numerical example shows the effectiveness of the proposed method.

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AN ELEMENTARY COMPUTATION OF HANKEL MATRICES ON THE UNIT DISC

  • Chung, Young-Bok
    • Honam Mathematical Journal
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    • v.43 no.4
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    • pp.691-700
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    • 2021
  • In this paper, we compute directly the Hankel matrix representation of the Hankel operator on the Hardy space of the unit disc without using any classical kernel functions with respect to special orthonormal bases for the Hardy space and its orthogonal complement. This gives an elementary proof for the formula.

An Objective Method of Risk Assessment Based on Stochastic Modelling (확률 기반의 위험등급평가 객관화 방안)

  • Shin, Sang-Sik;Lee, Kil-Soo;Cho, Heung-Gi
    • Journal of Korean Society for Quality Management
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    • v.41 no.3
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    • pp.465-474
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    • 2013
  • Purpose: To provide a variety of stable military supplies, risk should be avoided or removed. This paper aims to provide an objective method of risk assesment for risk matrix to evaluate risk level. Methods: According to previous results of risk assesment through risk matrix, some parameters and probability density functions, which include characteristics of military supplies, are selected and Risk matrix is modelled based on that. Results: Results show that a proposed method can evaluate objectively risk level through the stochastic modelling and provide well-balanced risk assessments by categorizing into 3 levels such as high, middle and low level risk. Conclusion: A current risk assessment method includes substantial subjectivity of risk assessment and as a problem about military supplies comes up, we can not show any appropriate evidences for decision of risk assessment. We propose an objective scheme employing stochastic modelling with parameters and probability density functions.

Estimable Functions in Row-column Designs

  • Dong Kwon Park
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.366-375
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    • 1995
  • A method is presented for finding estimable functions in a row-column design. It can easily be applied because the method consists of solving equations derived from the design eithout using the design matrix. It determines not only the estimability of treatment effects but also between row(or column)and treatment effects.

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Non-linear distributed parameter system estimation using two dimension Haar functions

  • Park Joon-Hoon;Sidhu T.S.
    • Journal of information and communication convergence engineering
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    • v.2 no.3
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    • pp.187-192
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    • 2004
  • A method using two dimension Haar functions approximation for solving the problem of a partial differential equation and estimating the parameters of a non-linear distributed parameter system (DPS) is presented. The applications of orthogonal functions, including Haar functions, and their transforms have been given much attention in system control and communication engineering field since 1970's. The Haar functions set forms a complete set of orthogonal rectangular functions similar in several respects to the Walsh functions. The algorithm adopted in this paper is that of estimating the parameters of non-linear DPS by converting and transforming a partial differential equation into a simple algebraic equation. Two dimension Haar functions approximation method is introduced newly to represent and solve a partial differential equation. The proposed method is supported by numerical examples for demonstration the fast, convenient capabilities of the method.

The Transfer Matrix Method for Three-Dimensional Vibration Analysis of Crank Shaft (전달행렬법을 사용한 크랭크축의 3차원 진동해석)

  • 이정윤;오재응
    • Transactions of the Korean Society of Automotive Engineers
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    • v.5 no.4
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    • pp.152-159
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    • 1997
  • This paper presents a vibration analysis method of crank shaft of six cylinder internal combustion engine. For simple analysis journal, pin and arm parts were assumed to have uniform section. Transfer Matrix Method was used, considering branched part and coordinate transformation part. Natural frequencies, modeshapes and transfer functions of crank shaft were investigated based upon the Euler beam theory: It was shown that the calculated natural frequencies, modeshapes agree well with the existing paper results.

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