• International Journal of Control, Automation, and Systems
• /
• 제5권1호
• /
• pp.1-7
• /
• 2007

In this paper, the necessary and sufficient conditions for strict positive realness of the rational transfer functions directly from basic definitions in the frequency domain are studied. A new frequency domain approach is used to check if a rational transfer function is a strictly positive real or not. This approach is based on the Taylor expansion and the Maximum Modulus Principle which are the fundamental tools in the complex functions analysis. Four related common statements in the strict positive realness literature which is appeared in the control theory are discussed. The drawback of these common statements is analyzed through some counter examples. Moreover a new necessary condition for strict positive realness is obtained from high frequency behavior of the Nyquist diagram of the transfer function. Finally a more simplified and completed conditions for strict positive realness of single-input single-output linear time-invariant systems are presented based on the complex functions analysis approach.

• 한국인터넷방송통신학회논문지
• /
• 제17권3호
• /
• pp.87-92
• /
• 2017

본 논문에서는 nonconstant modulus 신호를 대상으로 채널의 찌그러짐을 보상하기 위한 CR-MMA (Constellation Reduction - Multiple Modulus Algorithm)와 RMMA (Region based Multiple Modulus Algorithm) 등화 알고리즘의 성능을 비교하였다. 적응 등화를 위한 오차 신호를 얻기 위하여 CR-MMA에서는 모든 신호점들을 constant modulus를 갖는 신호로 축소하지만, RMMA에서는 모든 신호점들이 존재하는 지역을 4개로 분할한 후 이를 지역 기반으로 축소하게 된다. 이와 같은 축소 원리를 적용하여 적응 등화를 위한 탭 계수 갱신을 수행하게 되지만 이들은 각기 다른 등화 성능을 갖게 되므로, 논문에서는 이들의 성능을 컴퓨터 시뮬레이션을 통해 확인한다. 시뮬레이션 결과 RMMA는 출력 신호 성상도와 잔류 isi 및 최대 찌그러짐과 SER 성능이 CR-MMA보다 우월하지만, 수렴 속도가 늦어졌다.

• 한국인터넷방송통신학회논문지
• /
• 제16권5호
• /
• pp.91-97
• /
• 2016

본 논문에서는 통신 채널에서 발생되는 찌그러짐에 의한 부호간 간섭을 보상하기 위한 FC-MMA (Fast Convergence-Multiple Modulus Algorithm)과 RMMA (Region based Multiple Modulus Algorithm) 등화 알고리즘의 성능을 평가하였다. 적응 등화를 위한 오차 신호를 얻기 위하여 FC-MMA 는 신호 심볼의 레벨수를 고려한 수정된 dispersion constant를 이용하지만, RMMA에서는 모든 신호점들이 존재하는 지역을 4개로 분할한 후 이를 기반으로 신호점을 축소한다. 이와 같이 오차 신호를 얻는 상이한 원리를 적용하여 적응 등화기의 탭 계수 갱신을 수행하게 되지만 이들은 각기 다른 등화 성능을 갖게 되므로, 논문에서는 이들의 성능을 컴퓨터 시뮬레이션을 통해 확인한다. 성능 비교를 위한 지수로는 등화기 출력 신호 성상도, 수렴 특성을 나타내는 잔류 isi, 최대 찌그러짐 및 채널의 신호대 잡음비에 따른 SER을 사용하였으며, 시뮬레이션 결과 RMMA는 정상 상태 이후 출력 신호 성상도와 잔류 isi 및 최대 찌그러짐과 SER 성능이 FC-MMA보다 우월하지만, 정상 상태에 도달하기 위한 수렴 속도에서는 FC-MMA가 빠름을 확인하였다.

• Korean Journal of Mathematics
• /
• 제30권2호
• /
• pp.231-238
• /
• 2022

In this paper we prove some results by using a simple but elegant techniques to improve and strengthen some generalizations and refinements of two widely known polynomial inequalities and thereby deduce some useful corollaries.

• Nonlinear Functional Analysis and Applications
• /
• 제28권4호
• /
• pp.943-956
• /
• 2023

Let p(z) be a polynomial of degree n and for any complex number 𝛽, let D_𝛽p(z) = np(z) + (𝛽 - z)p'(z) denote the polar derivative of the polynomial with respect to 𝛽. In this paper, we consider the class of polynomial $$p(z)=(z-z_0)^s \left(a_0+\sum\limits_{{\nu}=0}^{n-s}a_{\nu}z^{\nu}\right)$$ of degree n having a zero of order s at z₀, |z₀| < 1 and the remaining n - s zeros are outside |z| < k, k ≥ 1 and establish upper bound estimates for the maximum of |D_𝛽p(z)| as well as |p(Rz) - p(rz)|, R ≥ r ≥ 1 on the unit disk.

• 한국도로학회논문집
• /
• 제14권5호
• /
• pp.75-83
• /
• 2012

PURPOSES: Suggestion of asphalt binder constitutive model based on time-temperature superposition principle and overstress concept in order to describe behavior of asphalt binders. METHODS: A series of temperature sweep tests and multiple stress creep and recovery(MSCR) tests are performed to verify the applicability of time-temperature superposition principle(t-Ts) and to develop viscoelastoplastic constitutive equation based on overstress concept. For the tests, temperature sweep tests at various high temperature and various frequency and MSCR test at $58^{\circ}C$, $64^{\circ}C$ $70^{\circ}C$, $76^{\circ}C$, and $82^{\circ}C$ are performed. From the temperature sweep tests, dynamic shear modulus mastercurve and time-temperature shift function are built and the shift function and MSCR at $58^{\circ}C$ are utilized to determine model coefficients of VBO model. RESULTS: It is observed that the time-temperature shift function built at low strain level of 0.1% is applicable not only to 1.0% strain level temperature sweep test but also maximum 500,00% strain level of MSCR test. As well, the modified VBO model shows perfect prediction on MSCR measured strain at the other temperatures. CONCLUSIONS: The Time-temperature superposition principle stands hold from very low strain level to very high strain level and that the modified VBO model can be applicable for various range of strain and temperature region to predict elastic, viscoelastic, and viscoplastic strain of asphalt binders.

• 한국농공학회논문집
• /
• 제63권6호
• /
• pp.17-26
• /
• 2021

Greenhouses have been damaged due to the uplift pressure from strong wind, for which rebar piles are often installed near the greenhouse to resist the pressure. For the effective design of rebar piles, it is necessary to access the shear strength of soil on which the greenhouse is constructed. This study experimentally evaluates the shear strength of the soil beneath the greenhouse. Four soil samples were collected from four agricultural sites, and prepared for testing with 75, 80, 85, and 90% compaction rates. One-dimensional unconfined compression test (UC), consolidated-undrained triaxial test (CU), and resonant column test (RC) were performed for the evaluation of shear strength and shear modulus. Generally, the higher shear strength and modulus were observed with the higher compaction rates. In particular, the UC shear strength increases with the increase of #200 sieve passing rate. Resulting from the CU test, the sample with the most of coarse soil had the highest friction angle, but the variation is small among samples. Resulting from the CU and RC tests, the ratio of maximum shear modulus with the major principle stress at failure was the higher at the finer soil. The ratio was two to three times greater than the ratio from the standard sand. This indicates that the shear strength is lower for the fine soil than the coarse soil at the same shear modulus. The results of this study will be a useful resource for the estimation of the pull-out strength of the rebar pile against the uplift pressure.

• Korean Journal of Mathematics
• /
• 제17권2호
• /
• pp.127-145
• /
• 2009

In this paper we introduce a new subclass $K_{\mu}^{\lambda},{\phi},{\eta}(n;{\rho};{\alpha})$ of analytic and multivalent functions with negative coefficients using fractional calculus operators. Connections to the well known and some new subclasses are discussed. A necessary and sufficient condition for a function to be in $K_{\mu}^{\lambda},{\phi},{\eta}(n;{\rho};{\alpha})$ is obtained. Several distortion inequalities involving fractional integral and fractional derivative operators are also presented. We also give results for radius of starlikeness, convexity and close-to-convexity and inclusion property for functions in the subclass. Modified Hadamard product, application of class preserving integral operator and other interesting properties are also discussed.

• 대한수학회지
• /
• 제46권1호
• /
• pp.41-49
• /
• 2009

Let $\zeta$ be a fixed complex number. In this paper, we study the quantity $S(\zeta,\;n):=mas_{f{\in}{\Lambda}_n}\;|f(\zeta)|$, where ${\Lambda}_n$ is the set of all real polynomials of degree at most n-1 with coefficients in the interval [0, 1]. We first show how, in principle, for any given ${\zeta}\;{\in}\;{\mathbb{C}}$ and $n\;{\in}\;{\mathbb{N}}$, the quantity S($\zeta$, n) can be calculated. Then we compute the limit $lim_{n{\rightarrow}{\infty}}\;S(\zeta,\;n)/n$ for every ${\zeta}\;{\in}\;{\mathbb{C}}$ of modulus 1. It is equal to 1/$\pi$ if $\zeta$ is not a root of unity. If $\zeta\;=\;\exp(2{\pi}ik/d)$, where $d\;{\in}\;{\mathbb{N}}$ and k $\in$ [1, d-1] is an integer satisfying gcd(k, d) = 1, then the answer depends on the parity of d. More precisely, the limit is 1, 1/(d sin($\pi$/d)) and 1/(2d sin($\pi$/2d)) for d = 1, d even and d > 1 odd, respectively.

• Geomechanics and Engineering
• /
• 제12권4호
• /
• pp.595-609
• /
• 2017

Due to high in-situ stress and brittleness of rock mass, the surrounding rock masses of underground caverns are prone to appear splitting failure. In this paper, a kind of loading-unloading variable elastic modulus model has been initially proposed and developed based on energy dissipation principle, and the stress state of elements has been determined by a splitting failure criterion. Then the underground caverns of Dagangshan hydropower station is analyzed using the above model. For comparing with the monitoring results, the entire process of rock splitting failure has been achieved through monitoring the splitting failure on side walls of large-scale caverns in Dagangshan via borehole TV, micro-meter and deformation resistivity instrument. It shows that the maximum depth of splitting area in the downstream sidewall of the main power house is approximately 14 m, which is close to the numerical results, about 12.5 m based on the energy dissipation model. As monitoring result, the calculation indicates that the key point displacement of caverns decreases firstly with the distance from main powerhouse downstream side wall rising, and then increases, because this area gets close to the side wall of main transformer house and another smaller splitting zone formed here. Therefore it is concluded that the energy dissipation model can preferably present deformation and fracture zones in engineering, and be very useful for similar projects.