• 전기학회논문지
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• 제60권3호
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• pp.620-624
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• 2011

This paper propose a new delay-dependent stability criterion of neutral time-delay systems. By employing double-integral terms in augmented states and constructing a new Lyapunov-Krasovskii's functional, a delay-dependent stability criterion is established in terms of Linear Matrix Inequality. Through numerical examples, the validity and improvement results obtained by applying the proposed stability criterion will be shown.

• 대한물리의학회지
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• 제2권2호
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• pp.183-194
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• 2007

Purpose : The purpose of this study was to evaluate influence of therapeutic exercise on functional leg length inequality(LLI). Methods : The subjects were consisted of thirty patients who had Leg length inequality(LLI) of more than 10mm(l6 females. 14 males) from 20 to 35 years of age(mean aged 24.23). All subjects randomly assigned to contract-relax exercise of proprioceptive neuromuscular facilitation(PNF) group(n=15), control group(n=15). Contract-relax exercise group received contract-relax exercise about 10 minutes with therapeutic massage about 15 minutes for 3 times per week during 4 weeks period. Control group not received intervention during 4 weeks period. The tape measure method(TMM) was used to measure functional Leg length inequality. Biodex System 3 Pro was used to measure strength of Knee extension & flexion. All measurements of each subjects were measured at pre-test, 2weeks post-test and 4weeks post-test. Results : 1. The LLI of contract-relax exercise group was significantly reduced according to within treatment period(p<.05), most significantly reduced between pre-test and post-test(p<.05). Contract-relax exercise group significantly more reduced than control group(p<.05). 2. The knee extension strength of contract-relax exercise group was significantly increased according to within treatment period(p<.05), most significantly increased between pre-test and post-test(p<.05). Contract-relax exercise group significantly more increased than control group(p<.05). 3. The knee flexion strength of contract-relax exercise group was significantly increased according to within treatment period(p<.05), most significantly increased between pre-test and post-test(p<.05). Contract-relax exercise group significantly more increased than control group(p<.05). Conclusion : Contract-relax exercise applied with therapeutic massage can reduce LLI and increased lower extremity muscle strength.

• Kyungpook Mathematical Journal
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• 제15권1호
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• pp.73-77
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• 1975

• 전기학회논문지
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• 제67권5호
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• pp.651-655
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• 2018

In this paper, based on an augmented Lyapunov-Krasovskii functional(LKF) with time-delay product quadratic terms, the stability result in the form of linear matrix inequality(LMI) is proposed. In getting an LMI result, the free matrix based integral inequality is used. Finally, two well-known numerical examples are given to demonstrate the usefulness of the proposed result.

• Nonlinear Functional Analysis and Applications
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• 제27권2호
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• pp.223-232
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• 2022

The purpose of the paper is to define f-projection operator to develop the f-projection method. The existence of a variational inequality problem is studied using fixed point theorem which establishes the existence of f-projection method. The concept of ρ-projective operator and σ-involutory operator are defined with suitable examples. The relation in between ρ-projective operator and σ-involutory operator are shown. The concept of σ-involutory variational inequality problem is defined and its existence theorem is also established.

• Nonlinear Functional Analysis and Applications
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• 제29권1호
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• pp.15-33
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• 2024

In this article, we considered a class of nonlinear variational hemivariational inequality problems and investigated a gap function and regularized gap function for the problems. We discussed the global error bounds for such inequalities in terms of gap function and regularized gap functions by utilizing the Clarke generalized gradient, relaxed monotonicity, and relaxed Lipschitz continuous mappings. Finally, as applications, we addressed an application to non-stationary non-smooth semi-permeability problems.

• The Journal of Korean Physical Therapy
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• 제21권1호
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• pp.49-55
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• 2009

Purpose: The purpose of this study was to evaluate influence of contract-relax exercise on functional leg length inequality (FLLI) and muscle activity. Methods: The subjects were consisted of 40 healthy adults who had FLLI of which degree was at least 10mm. All subjects were randomly assigned to two groups : Contract-Relax Exercise (CRE) group (n=20), control group (n=20). The experimental group underwent CRE for 3 times a week for 4 weeks. Myosystem 1200 was used to measure the activity of rectus femoris and hamstring muscle. The tape measure method was used to measure FLLI. Statistical analysis was used repeated ANOVA know comparison of period, independent T-est know comparison of experiment group and control group. Results: All measurements for each subject took the following test : pre-test, post-test in 2 weeks, post-test in 4 weeks. The FLLI of the experimental group was significantly reduced according to within intervention period (p<0.05). Rectus femoris and hamstring muscle activity of the experimental group was significantly increased (p<0.05). Conclusion: The CRE can reduce FLLI and increase rectus femoris and hamstring muscle activity. Various contract-relax exercise for reduced of FLLI and the methods should be customized for the patients.

• 전기학회논문지
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• 제66권5호
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• pp.806-811
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• 2017

This paper considers the delay-dependent stability of linear systems with a time-varying delay in the frame work of Lyapunov-Krasovskii functional(LKF) approach. In this approach, an integral inequality is essential to estimate the upper bound of time-derivative of LKF, and a less conservative one is needed to get a less conservative stability result. In this paper, based on free weighting matrices, an improved integral inequality encompassing well-known results is proposed and then a stability result in the form of linear matrix inequality is derived based on an augmented LKF. Finally, two well-known numerical examples are given to demonstrate the usefulness of the proposed result.

• 충청수학회지
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• 제20권4호
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• pp.515-523
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• 2007

In this paper, we investigate the Hyers-Ulam-Rassias stability of generalized Jensen type quadratic functional equations in Banach spaces.

• 대한수학회지
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• 제41권2호
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• pp.249-264
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• 2004

In this paper, some new estimates of the Cebysev functional for Stieltjes integrals are provided. Applications for quadrature formulae in approximating the Riemann-Stieltjes integral are also given.