• 한국정보과학회논문지:소프트웨어및응용
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• 제34권1호
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• pp.70-78
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• 2007

얼굴 인식 시스템의 성능은 조명 변화로 인하여 발생하는 개인내 (intra-person) 차이가 개인간 (inter-person)의 차이보다 클 수 있기 때문에 조명 변화에 많은 영향을 받는다. 본 연구에서는 이러한 문제를 해결하기 위해서 대칭형 bilinear 모델을 이용하여 조명 요소와 신원 요소를 분리하는 방법을 제안한다. Bilinear 모델로 조명 요소와 신원 요소를 얻기 위한 translation 과정은 반복적 역행렬을 구하는 것이 요구되는데 입력 데이타에 따라 수렴하지 않는 경우가 발생할 수 있다. 이러한 문제를 완화하기 위해서 ridge regression 모델과 bilinear 모델을 결합한 ridge regressive bilinear 모델을 제안하였다. 제안된 모델은 조명 요소와 신원 요소의 분산을 적절히 줄여줌으로서 bilinear 모델에 안정성을 제공하며, 인식에 더 많은 고차원 요소 정보를 이용하게 함으로써 인식 성능을 높여 준다. 실험 결과에서 제안한 ridge regressive bilinear 모델이 bilinear 모델, 고유얼굴(eigenface) 방법, Quotient image 보다 좋은 인식 성능을 보여줌을 확인 할 수 있다.

• 전자공학회논문지CI
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• 제47권3호
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• pp.59-66
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• 2010

본 논문은 불확실한 $L\ddot{u}$ 카오스 시스템의 동기화를 위한 적응 퍼지 bilinear 동기화 제어 설계 방법을 제안한다. $L\ddot{u}$ 카오스 시스템은 알려지지 않은 파라미터를 가지고 있다고 가정한다. 먼저, 불확실한 $L\ddot{u}$ 카오스 시스템을 TS 퍼지 bilinear 모델링을 통해 재구성한다. 불확실한 파라미터를 가진 TS 퍼지 bilinear $L\ddot{u}$ 카오스 시스템을 기반으로한 적응 퍼지 bilinear 동기화 제어 기법을 설계한다. Lyapunov 이론을 통해서 설계된 적응 퍼지 bilinear 동기화 제어 기법을 통한 TS 퍼지 bilinear $L\ddot{u}$ 카오스 시스템과 제안된 슬레이브 시스템 간의 오차 다이나믹 시스템의 안정성을 보장하고 이를 통해서 불확실한 파라미터를 추정 할 수 있는 적응 규칙을 유도한다. 제안된 동기화 제어 기법을 시뮬레이션을 통해서 그 명확성을 보이고자 한다.

• 대한수학회보
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• 제46권2호
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• pp.303-309
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• 2009

Cryptographic protocols depend on the hardness of some computational problems for their security. Joux briefly summarized known relations between assumptions related bilinear map in a sense that if one problem can be solved easily, then another problem can be solved within a polynomial time [6]. In this paper, we investigate additional relations between them. Firstly, we show that the computational Diffie-Hellman assumption implies the bilinear Diffie-Hellman assumption or the general inversion assumption. Secondly, we show that a cryptographic useful self-bilinear map does not exist. If a self-bilinear map exists, it might be used as a building block for several cryptographic applications such as a multilinear map. As a corollary, we show that a fixed inversion of a bilinear map with homomorphic property is impossible. Finally, we remark that a self-bilinear map proposed in [7] is not essentially self-bilinear.

• 한국철도학회논문집
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• 제3권4호
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• pp.177-184
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• 2000

In this paper, a HVAC controller which has a bilinear system is designed to control the air temperature in building room and a saving of energy on the HVAC system. For modeling of the HVAC bilinear system, AHU(Air Handling Unit) is modeled on the control of inside-outside air flow using three dampers in a duct. A heat exchanger and the single room are also modeled by the energy conservation law. Under the modeling of the HVAC bilinear system, the control's law of the bilinear HVAC system is derived by Lyapunov's non-linear theory and Deress's the linear feedback laws for bilinear system. In this paper it was proved that the controller of the HVAC bilinear system is able to control the air temperature with a disturbance in order to get a target of temperature in the building room by the computer simulation when the control inputs regulate the air flow rate and a capacity of the heat exchanger.

• 충청수학회지
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• 제20권4호
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• pp.355-366
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• 2007

In this paper, we propose a new blind group identification protocol and a hidden group signature protocol as its application. These protocols involve many provers and one verifier such that (1) the statement of all the provers are proved simultaneously, (2) and also all the provers using computationally limited devices (e.g. smart cards) have no need of computing the bilinear pairings, (3) but only the verifier uses the bilinear pairings. A. Saxena et al. proposed a two-round blind (group) identification protocol in 2005 using the bilinear pairings. But it reveals weakness in the active-intruder attack, and all the provers as well as the verifier must have devices computing bilinear pairings. Comparing their results, our protocol is secure from the active-intruder attack and has more fit for smart cards. In particular, it is secure under only the assumption of the hardness of the Discrete-Logarithm Problem in bilinear groups.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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• pp.156-159
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• 1996

An adaptive predictive control for steam-reforming plant which consist of a steam-gas reformer and a waste heat steam-boiler was studied by using MIMO bilinear model. The simulation experiments of the process identification were performed by using linear and bilinear models. From the simulation results it was found that the bilinear model represented the dynamic behavior of a steam-reforming plant very well. ARMA model was used in the process identification and the adaptive predictive control. To verify the performance and effectiveness of the adaptive predictive controller proposed in this study the simulation results of steam-reforming plant control based on bilinear model were compared to those of linear model. The simulation results showed that the adaptive predictive controller based on bilinear model provides better performance than those of linear model.

• 한국경영과학회지
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• 제42권3호
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• pp.1-12
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• 2017

In this paper, we generalize lifted inequalities to a 0-1 mixed-integer bilinear covering set with linear terms. This work is motivated by the observation that Generalized Bilinear Inequality (GBI) occurs in the Branch and Bound process. We find some conditions and prove the subadditivity of lifting functions for lifting to be sequence-independent. Using the theoretical results, we develop facet-defining inequalities for a GBI-defined set through three steps of lifting.

• Kyungpook Mathematical Journal
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• 제57권2호
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• pp.223-232
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• 2017

We classify the extreme and exposed symmetric bilinear forms of the unit ball of the space of symmetric bilinear forms on ${\mathbb{R}}^2$ with hexagonal norms. We also show that every extreme symmetric bilinear forms of the unit ball of the space of symmetric bilinear forms on ${\mathbb{R}}^2$ with hexagonal norms is exposed.

• 대한수학회지
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• 제46권3호
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• pp.609-620
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• 2009

We establish some estimates on the hyper bilinear Hilbert transform on both Euclidean space and torus. We also use a transference method to obtain a Kenig-Stein's estimate on bilinear fractional integrals on the n-torus.

• Journal of the Korean Statistical Society
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• 제35권1호
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• pp.79-90
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• 2006

We consider the subdiagonal bilinear model and ARMA model with subdiagonal bilinear errors. Sufficient conditions for geometric ergodicity of associated Markov chains are derived by using results on generalized random coefficient autoregressive models and then strict stationarity and ,a-mixing property with exponential decay rates for given processes are obtained.