• Title/Summary/Keyword: stability condition

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Absolute Stability of the Simple Fuzzy Logic Controller

  • Park, Byung-jae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.7
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    • pp.574-578
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    • 2001
  • The stability analysis for the fuzzy logic controller (FLC) has widely been reported. Furthermore many research in the FLC has been introduced to decrease the number of parameters representing the antecedent part of the fuzzy control rule. In this paper we briefly explain a single-input fuzzy logic controller (SFLC) or simple-structured FLC which uses only a single input variable. And then we analyze that it is absolutely stale based on the sector bounded condition. We also show the feasibility of the proposed stability analysis through a numerical example of a mass-damper-spring system.

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A New Approach to the Stability Analysis Method of Net-worked Control Systems

  • Joonhong Jung;Park, Sooyoung;Park, Kiheon
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.53.6-53
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    • 2002
  • $\textbullet$ Present a new stability analysis method of NCSs $\textbullet$ Propose the stability condition of NCSs with dynamic controller $\textbullet$ Find the stability region where NCSs for power system are guaranteed to be stable $\textbullet$ Determine a proper sampling period of NCSs that preserves desired stability performance $\textbullet$ Experiment : NCSs for power system using CAN.

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REFINED HYERS-ULAM STABILITY FOR JENSEN TYPE MAPPINGS

  • Rassias, John Michael;Lee, Juri;Kim, Hark-Mahn
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.1
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    • pp.101-116
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    • 2009
  • In 1940 S.M. Ulam proposed the famous Ulam stability problem. In 1941 D.H. Hyers solved the well-known Ulam stability problem for additive mappings subject to the Hyers condition on approximately additive mappings. In this paper we improve results for Jensen type mappings and establish new theorems about the Ulam stability of additive and alternative Jensen type mappings.

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EXISTENCE AND STABILITY RESULTS OF GENERALIZED FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS

  • Kausika, C.;Balachandran, K.;Annapoorani, N.;Kim, J.K.
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.4
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    • pp.793-809
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    • 2021
  • This paper gives sufficient conditions to ensure the existence and stability of solutions for generalized nonlinear fractional integrodifferential equations of order α (1 < α < 2). The main theorem asserts the stability results in a weighted Banach space, employing the Krasnoselskii's fixed point technique and the existence of at least one mild solution satisfying the asymptotic stability condition. Two examples are provided to illustrate the theory.

Effect of Washing Conditions on Dimensional Change and Mechanical Properties in Polyester/Spandex Knit Fabric (세탁조건에 따른 폴리에스터/스판덱스 편성물의 형태안정성과 역학적 특성 변화)

  • Roh, Eui Kyung;Kim, Eunae
    • Fashion & Textile Research Journal
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    • v.20 no.1
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    • pp.93-100
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    • 2018
  • This study comparatively analyzed the changes in the dimensional stability and the mechanical properties of stretch knit fabrics associated with washings conditions in order to determine the most appropriate washing method. Polyester and spandex knit fabrics were washed 25 cycles with nine washing condition profiles that controled detergent, hardness. temperature and RPM. The knit fabrics with repeated washings were evaluated by dimensional stability and measured by the KES-FB system. Polyester and spandex fibers have good chemical resistance. However, the changes in the dimensional stability and the mechanical properties were observed in washed knit fabrics. After repeated washings, the knit fabrics washed in an alkali or neutral detergent had good dimensional stability compared with the knit fabric washed in functional detergent. The washed knit fabrics were extended, stiff, rough, and had a smaller volume. The changes were the result of the rearrange of polyester fibers which twisted around spandex core and chemical interactions involving the detergent and the physical and mechanical forces of washing. Especially, using an alkali detergent resulted in increased stiffness and roughness of the knit fabric. In conclusion, the washing in water with low hardness and a neutral detergent can minimize the changes in dimensional stability and mechanical properties of polyester and spandex knit fabric.

On the Stability of Critical Point for Positive Systems and Its Applications to Biological Systems

  • Lee, Joo-Won;Jo, Nam Hoon;Shim, Hyungbo;Son, Young Ik
    • Journal of Electrical Engineering and Technology
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    • v.8 no.6
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    • pp.1530-1541
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    • 2013
  • The coexistence and extinction of species are important concepts for biological systems and can be distinguished by an investigation of stability. When determining local stability of nonlinear systems, Lyapunov indirect method based on the Jacobian linearization has been widely employed due to its simplicity. Despite such popularity, it is not applicable to singular systems whose Jacobian has at least one eigenvalue that is equal to zero. In such singular cases, an appropriate Lyapunov function should be sought to determine the stability of systems, which is rather difficult and quite involved. In this paper, we seek for a simple criterion to determine stability of the equilibrium that is located at the boundary of the positive orthant, when one of eigenvalues of the Jacobian is zero. The goal of the paper is to present a generalized condition for the equilibrium to attract all trajectories that starting from initial condition in the positive orthant and near the equilibrium. Unlike the Lyapunov direct method, the proposed method requires just a simple algebraic computation for checking the stability of the critical point. Our approach is applied to various biological systems to show the effectiveness of the proposed method.

Load Transfer Characteristics on Drilled Shafts by Hole Stability Fluids (공벽유지용 유체에 따른 대구경 현장타설말뚝의 하중전이특성)

  • Lim, Dae-Sung;Park, Seong-Wan;Park, Jung-Hwan;Oy, Se-Hun
    • Proceedings of the Korean Geotechical Society Conference
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    • 2008.03a
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    • pp.1100-1105
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    • 2008
  • In most drilled shafts construction sites, it is common, depending on the site condition, to use either water or slurry as fluids for maintaining stability of the holes, however, there are yet no design manuals by hole stability fluids. In this paper, in order to evaluate load transfer characteristics of the drilled shafts by hole stability fluids, two test piles are constructed over the soft ground of the lower Busan Bay based on the Bi-directional Pile Load Test. The test results showed that no ultimate states has found under the condition of applied loads with fresh water and slurry as hole fluids for drilled shafts. Then, the load transfer behavior were estimated with the data measured in fields and the effect of hole stability fluids were compared. All these results are presented in the paper.

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Stability of unsaturated infinite slope under rainfall-induced infiltration (강우침투시 불포화 무한사면의 안정성 평가)

  • Song, Young-Suk;Hwang, Woong-Ki;Lee, Nam-Woo;Kim, Tae-Hyung
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.09a
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    • pp.71-78
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    • 2010
  • The stability analysis of unsaturated infinite slope under rainfall-induced infiltration condition was performed using the generalized effective stress that unifies both saturated and unsaturated condition recently proposed by Lu and Likos(2004, 2006). The Soil-Water Characteristic Curve (SWCC) of the sand with the relative density of 75% was first measured for both drying and wetting processes. The Hydraulic Conductivity Function (HCF) and Suction Stress Characteristic Curve (SSCC) were subsequently estimated. Also, under the rainfall-induced infiltration condition transient seepage analysis of unsaturated infinite slope was performed using the finite element program, SEEP/W. Based on these results, the stability of unsaturated infinite slope under rainfall-induced infiltration condition was examined considering the suction stress. According to the results, the negative pore water pressure and water content within the soil changed with time due to the infiltration. Also, the variation of those caused the variation of suction stress and then the factor of safety of slope changed consequently during the rainfall period.

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Assessment of influence of old mine gangway on stability of road tunnel in mine area (광산지역 도로 터널링에 있어 폐갱도가 터널 안정성에 미치는 영향 평가)

  • Synn, Joong-Ho;Shin, Hee-Soon;Sunwoo, Choon;Park, Chan
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.4 no.2
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    • pp.123-133
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    • 2002
  • In the construction of the road tunnel in mine area, old mine gangways can cause the instability of the tunnel. In this case study, the field investigation is carried out to figure out the location of old gangways adjacent to the tunnel, and their influence on the tunnel stability is estimated according to the location pattern and rock condition by FLAC analysis. The grouting reinforcement of tunnel crown region and old gangway is suggested and its role on assurance of the tunnel stability is also verified. It can be said from this study that the effect of the old gangway on the stability of tunnel varies with the dimension of gangway, distance from the tunnel, rock condition and groundwater, and therefore these paramerter should be compositively considered in the assessment of the tunnel stability.

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A Comparison Study on Functional Properties of Mungbean Protein and Chemically Modified Mungbean Protein (분리 녹두 단백질과 이를 화학적으로 수식화한 단백질간의 식품학적 기능성 비교)

  • Sohn, Kyung-Hee;Min, Sung-Hee;Park, Hyun-Kyung;Park, Jin
    • Korean journal of food and cookery science
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    • v.7 no.3
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    • pp.53-59
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    • 1991
  • This study was carried out in order to investigate the change of protein functionalities such as foaming and emulsifying properties by succinylation of protein isolates. Succinylated and unsuccinylated munghean protein isolates were tested for finding out the effects of pH, heat treatment and sodium chloride concentration on the solubility, emulsion capacity, emulsion stability, foaming capacity, and foam stability. The results are summarized as follows: 1. Succinylation enhanced the solubility of MPI except at pH 4.5. When heated, succinylation greatly increased the solubility of succinylated MPI above $60^{\circ}C$. With the addition of NaCl, succinylation increased the solubility of MPI at acidic condition. 2. Emulsion capacity of succinylated MPI showed the lowest value at pH 7 and higher values at acidic and alkaine condition. when succinylated MPI was heated, emulsion capacity showed the highest at $80^{\circ}C$. With NaCl was added, emulsion capacity of succinylated MPI lincreased at pH 7, 9 or 11 decreased at pH 3 except addition of 1.0M NaCl. 3. Emulsion stability of MPI and succinylated MPI showed the highest at pH 4.5. Succinylation enhanced the emulsion stability of MPI at acidic condition. 4. The foaming capacity of MPI was increased at pH 3, 7 or 9 by succinylation. 5. When heated, foam stability of MPI and succinylated MPI showed the highest at pH 4.5 and at pH 11, respectively. When heated, both proteins showed the highest stability at $100^{\circ}C$.

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