• Kyungpook Mathematical Journal
• /
• 제59권4호
• /
• pp.689-702
• /
• 2019

Let 𝓐 and 𝓑 be real (or complex) algebras. We investigate the stability of a sequence F = {f₀, f₁, ⋯, f_n, ⋯ } of mappings from 𝓐 into 𝓑 satisfying the higher functional equation: $$f_n(x+y+zw)=f_n(x)+f_n(y)+\;{\normalsize\sum\limits_{\tiny{i+j=n \atop i{\leq}j}}}\;[f_i(z)f_j(w)+c_{ij}f_i(w)f_j(z)]$$ for each n = 0, 1, ⋯ and all x, y, z, w ∈ 𝓐, where $$c_{ij}=\left\{1{\text{ if }}i{\neq}j,\\0{\text{ if }}i=j.\right.$$.

• Nuclear Engineering and Technology
• /
• 제47권7호
• /
• pp.838-848
• /
• 2015

One of the most important operations in nuclear power plants is load following, in which an imbalance of axial power distribution induces xenon oscillations. These oscillations must be maintained within acceptable limits otherwise the nuclear power plant could become unstable. Therefore, bounded xenon oscillation is considered to be a constraint for the load following operation. In this paper, the design of a sliding mode control (SMC), which is a robust nonlinear controller, is presented.SMCis ameansto control pressurized water nuclear reactor (PWR) power for the load following operation problem in a way that ensures xenon oscillations are kept bounded within acceptable limits. The proposed controller uses constant axial offset (AO) strategy to ensure xenon oscillations remain bounded. The constant AO is a robust state constraint for the load following problem. The reactor core is simulated based on the two-point nuclear reactor model with a three delayed neutron groups. The stability analysis is given by means of the Lyapunov approach, thus the control system is guaranteed to be stable within a large range. The employed method is easy to implement in practical applications and moreover, the SMC exhibits the desired dynamic properties during the entire output-tracking process independent of perturbations. Simulation results are presented to demonstrate the effectiveness of the proposed controller in terms of performance, robustness, and stability. Results show that the proposed controller for the load following operation is so effective that the xenon oscillations are kept bounded in the given region.

• 한국콘텐츠학회논문지
• /
• 제12권3호
• /
• pp.25-33
• /
• 2012

본 연구에서는 자세균형 훈련 효과를 향상시킬 수 있는 게임 콘텐츠를 적용한 시각 피드백 자세균형 훈련 프로그램을 이용하여 정상 20대 성인을 대상으로 자세균형 조절 능력의 향상에 관한 유효성을 검증하고자 한다. 힘판 기반 자세균형 훈련 장치를 이용하여 23명의 피험자들이 일주일에 3일, 하루에 15분씩 4주간의 자세균형 훈련을 받았다. 게임기반의 시각 피드백 자세균형 훈련에 대한 평가는 Balance SD(Biodex, medicalscience Inc., USA)의 자세 균형 평가를 통하여 자세안정성과 자세한계성을 분석하였으며, 실험자의 자세균형 능력의 증진을 통한 유효성을 검증하였다. 그 결과 자세안정성과 자세한계성 모두 훈련 전후로 유의한 차이가 있었음을 확인하였다(p<0.05). 이번 연구 결과는 게임기반의 시각 피드백 자세균형 훈련이 자세균형 능력 향상을 위한 운동에 적용될 수 있음을 의미하며, 향후 다양한 자세균형 훈련의 프로그램 종류, 강도 및 각 질환별 최적 콘텐츠 개발에 대한 정량적인 데이터 수집 및 분석연구가 필요하다.

• 대한수학회지
• /
• 제43권2호
• /
• pp.323-356
• /
• 2006

Let X and Y be vector spaces. It is shown that a mapping $f\;:\;X{\rightarrow}Y$ satisfies the functional equation $$mn_{mn-2}C_{k-2}f(\frac {x_1+...+x_{mn}} {mn})$$ $(\ddagger)\;+mn_{mn-2}C_{k-1}\;\sum\limits_{i=1}^n\;f(\frac {x_{mi-m+1}+...+x_{mi}} {m}) =k\;{\sum\limits_{1{\leq}i_1<... if and only if the mapping $f : X{\rightarrow}Y$ is additive, and we prove the Cauchy-Rassias stability of the functional equation $(\ddagger)$ in Banach modules over a unital $C^*-algebra$. Let A and B be unital $C^*-algebra$ or Lie $JC^*-algebra$. As an application, we show that every almost homomorphism h : $A{\rightarrow}B$ of A into B is a homomorphism when $h(2^d{\mu}y) = h(2^d{\mu})h(y)\;or\;h(2^d{\mu}\;o\;y)=h(2^d{\mu})\;o\;h(y)$ for all unitaries ${\mu}{\in}A,\;all\;y{\in}A$, and d = 0,1,2,..., and that every almost linear almost multiplicative mapping $h:\;A{\rightarrow}B$ is a homomorphism when h(2x)=2h(x) for all $x{\in}A$. Moreover, we prove the Cauchy-Rassias stability of homomorphisms in $C^*-algebras$ or in Lie $JC^*-algebras$, and of Lie $JC^*-algebra$ derivations in Lie $JC^*-algebras$.

• 대한수학회보
• /
• 제53권2호
• /
• pp.387-398
• /
• 2016

Let X be a vector space over a field K of real or complex numbers and $k{\in}{\mathbb{N}}$. We prove the superstability of the following generalized Golab-Schinzel type equation $f(x_1+{\limits\sum_{i=2}^p}x_if(x_1)^kf(x_2)^k{\cdots}f(x_{i-1})^k)={\limits\prod_{i=1}^pf(x_i),x_1,x_2,{\cdots},x_p{\in}X$, where $f:X{\rightarrow}K$ is an unknown function which is hemicontinuous at the origin.

• 한국추진공학회:학술대회논문집
• /
• 한국추진공학회 2004년도 제22회 춘계학술대회논문집
• /
• pp.1-14
• /
• 2004

Experiments were performed in order to examine the stability of hydrocarbon-fueled flames in cavity flameholders in supersonic airflows. Methane and ethylene were burned in two different cavity configurations having aft walls ramped at 22.5 and 90$^{\circ}$. Air stagnation temperatures were 590 K at Mach 2 and 640 K at Mach 3. Lean blowout limits showed dependence on the air mass flowrates. Visual observations, planar laser induced fluorescence (PLIF) of nitric oxide (NO), and Schlieren imaging were used to investigate these phenomena. Large differences were noted between cavity floor and cavity ramp injection schemes. Cavity ramp injection provided better performance in most cases. Ethylene pilots have a wider range of stable operation than methane. Fuel flowrates at ignition showed similar trends as lean blowout limits, but higher flowrates were required.

• 전기학회논문지
• /
• 제59권3호
• /
• pp.485-491
• /
• 2010

Total Transfer Capability (TTC) should be pre-determined in order to estimate Available Transfer Capability (ATC). Typically, TTC is determined by considering three categories; voltage, stability and thermal limits. Among these, thermal limits are treated mainly in this paper on the evaluation of TTC due to the relatively short transmission line length of Korea Electric Power Corporation (KEPCO) system. This paper presents a new approach to evaluate the TTC using the Dynamic Line Rating (DLR) for the thermal limit. Since the approach includes not only traditional electrical constraints but also real-time environmental constraints, this paper obtains more cost-effective and exact results. A case study using KEPCO system confirms that the proposed method is useful for real-time operation and the planning of the electricity market.

• 한국소음진동공학회:학술대회논문집
• /
• 한국소음진동공학회 2007년도 춘계학술대회논문집
• /
• pp.161-170
• /
• 2007

In general, deflection limit criteria of bridge design specifications would have been considered based on the static serviceability and structural stability. Dynamic serviceability induced from bridge vibration, as a comfort limit, actually has not been included in the criteria. Thus, it is necessary for dynamic serviceability to be considered in bridge vibration problems and for comfort limit on vibration to be needed for evaluating dynamic serviceability of bridges. In this paper, comfort limits of bridge structures considering the time duration exposed by vibration were examined with frequency and time dependent comfort limits, and they were evaluated by using the vibration signals measured from the existing bridges. Therefore, it is resulted that the time-dependent comfort limit considering the duration of vibration is an efficient estimate for evaluating dynamic serviceability of bridges.

• 한국소음진동공학회논문집
• /
• 제17권10호
• /
• pp.923-935
• /
• 2007

In general, deflection limit criteria of bridge design specifications would have been considered based on the static serviceability and structural stability. Dynamic serviceability induced from bridge vibration, as a comfort limit, actually has not been included in the criteria. Thus, it is necessary for dynamic serviceability to be considered in bridge vibration problems and for comfort limit on vibration to be needed for evaluating dynamic serviceability of bridges. In this paper, comfort limits of bridge structures considering the time duration exposed by vibration were examined with frequency and time dependent comfort limits, and they were evaluated by using the vibration signals measured from the existing bridges. Therefore, it is resulted that the time-dependent comfort limit considering the duration of vibration is an efficient estimate for evaluating dynamic serviceability of bridges.

• 산업융합연구
• /
• 제22권2호
• /
• pp.97-103
• /
• 2024

본 연구의 목적은 비만 뇌졸중 환자의 균형 훈련이 체성분과 균형 능력 회복에 미치는 영향을 살펴보는 것이었다. 운동 프로그램은 비만군과 정상 체중 군을 동일하게 실험군(obesity)과 대조군(정상체중)으로 나누어 하루 30분, 일주일에 5일 동안 균형 훈련을 실시했다. 실험군과 대조군 모두 사전, 사후 체성분과 BSS(Biodex Medical Systems)를 8주간 수집하였다. 그 결과 그룹 내 체성분 자료를 비교해 보면 비만군은 모든 매개변수에서 유의한 차이를 보였다(p<.05). 또한 그룹 간 모든 매개변수 간에도 통계적인 차이를 보였다(p<.05). LOS(Limits Of Stability)의 그룹 내 자료를 비교해 보면, 비만군은 '후면'과 '좌측'을 제외한 모든 매개변수에서 유의한 차이를 보였다(p<.05). 그룹 간 자료에서 '전방' 매개변수는 유의한 차이를 보였다. PS(Posture Stability)의 그룹 내 자료를 비교해 보면, 비만군은 모든 매개변수에서 유의한 차이를 보였고(p<.05), 그룹 간 PS(Posture Stability) 결과는 'Med/lat'(p=.000)만으로 유의한 차이를 보였다. 이상의 결과를 종합해 보면, 균형 훈련이 비만이 있는 뇌졸중 환자의 균형 능력 및 체성분에 영향을 미치는 것으로 나타났다.