• Title/Summary/Keyword: linear regions

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Stability Regions of Linear Slowly Time-Varying Systemsa (천천히 변하는 선형 시변 시스템의 안정도 영역)

  • 최종호;장태정
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.210-213
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    • 1988
  • By using Lyapunov method, sufficient conditions for linear time-varying continuous-time and discrete-time systems to be stable are presented under the assumption that the systems are slowly time-varying. Though it is not simple to find the stability regions immediately, one could find practical and large stability regions by constructing an appropriate algorithm.

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COMBINATORIAL ENUMERATION OF THE REGIONS OF SOME LINEAR ARRANGEMENTS

  • Seo, Seunghyun
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.5
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    • pp.1281-1289
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    • 2016
  • Richard Stanley suggested the problem of finding combinatorial proofs of formulas for counting regions of certain hyperplane arrangements defined by hyperplanes of the form $x_i=0$, $x_i=x_j$, and $x_i=2x_j$ that were found using the finite field method. We give such proofs, using embroidered permutations and linear extensions of posets.

Robust Pole Assignment of Uncertain Linear Systems (불확정성 선형 시스템의 강인 극점 배치)

  • Kim, Jae-Seong;Kim, Jin-Hun
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.4
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    • pp.183-190
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    • 2000
  • It is well-known that the poles of a system are closely related with the dynamics of the systems, and the pole assignment problem, which locates the poles in the desired regions, in one of the major problem in control theory. Also, it is always possible to assign poles to specific points for exactly known linear systems. But, it is impossible for the uncertain linear systems because of the uncertainties that originate from modeling error, system variations, sensing error and disturbances, so we must consider some regions instead of points. In this paper, we consider both the analysis and the design of robust pole assignment problem of linear system with time-varying uncertainty. The considered uncertainties are the unstructured uncertainty and the structured uncertainty, and the considered region is the circular region. Based on Lyapunov stability theorem and linear matrix inequality(LMI), we first present the analysis result for robust pole assignment, and then we present the design result for robust pole assignment. Finally, we give some numerical examples to show the applicability and usefulness of our presented results.

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Detection of Microcalcifications ROI in Digital Mammograms using Linear Filters (디지털 마모그램에서 선형 필터를 이용한 미소석회질 ROI 검출)

  • 이승상;김기훈;박동선
    • Proceedings of the IEEK Conference
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    • 2003.11a
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    • pp.229-232
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    • 2003
  • In this paper, we present an efficient algorithm to detect microcalcifications ROI (Regions of Interest) in digital mammograms using Linear filters. To efficiently detect microcalcifications ROI, we used three sequential processes; preprocessing for breast area detection, modified multilevel thresholding, ROI selection using mean filter and linear filters.

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Seismic damage vulnerability of empirical composite material structure of adobe and timber

  • Si-Qi Li
    • Earthquakes and Structures
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    • v.25 no.6
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    • pp.429-442
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    • 2023
  • To study the seismic vulnerability of the composite material structure of adobe and timber, we collected and statistically analysed empirical observation samples of 542,214,937 m2 and 467,177 buildings that were significantly impacted during the 179 earthquakes that occurred in mainland China from 1976 to 2010. In multi-intensity regions, combined with numerical analysis and a probability model, a non-linear continuous regression model of the vulnerability, considering the empirical seismic damage area (number of buildings) and the ratio of seismic damage, was established. Moreover, a probability matrix model of the empirical seismic damage mean value was provided. Considering the coupling effect of the annual and seismic fortification factors, an empirical seismic vulnerability curve model was constructed in the multiple-intensity regions. A probability matrix model of the mean vulnerability index (MVI) was proposed, and was validated through the above-mentioned reconnaissance sample data. A matrix model of the MVI of the regions (19 provinces in mainland China) based on the parameter (MVI) was established.

Cognitive Contrast Enhancement of Image Using Adaptive Parameter Based on Non-Linear Masking (비선형 마스킹 기법 기반의 적응적 파라미터를 이용한 영상의 인지적 대비 향상)

  • Kim, Kyoung-Su;Kim, Jong-Sung;Lee, Cheol-Hee
    • Journal of Korea Multimedia Society
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    • v.14 no.11
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    • pp.1365-1372
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    • 2011
  • This paper proposes a cognitive contrast enhancement algorithm based on the non-linear masking to advance low cognitive contrast in dark regions of images. In order to improve brightness in dark regions of an image, we propose a new contrast enhancement algorithm based on the non-linear masking using regional adaptive parameters of an image. For performance evaluation of the proposed method, chromaticity and saturation comparison as a quantitative assessment and z-score comparison as a qualitative assessment were executed between test images and their simulated images by SSR, MSR, a conventional non-linear masking and the proposed method, respectively. As a result, the proposed method showed low chromaticity and saturation difference and improved cognitive contrast for the three methods.

Analysis of slender structural elements under unilateral contact constraints

  • Silveira, Ricardo Azoubel Da Mota;Goncalves, Paulo Batista
    • Structural Engineering and Mechanics
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    • v.12 no.1
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    • pp.35-50
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    • 2001
  • A numerical methodology is presented in this paper for the geometrically non-linear analysis of slender uni-dimensional structural elements under unilateral contact constraints. The finite element method together with an updated Lagrangian formulation is used to study the structural system. The unilateral constraints are imposed by tensionless supports or foundations. At each load step, in order to obtain the contact regions, the equilibrium equations are linearized and the contact problem is treated directly as a minimisation problem with inequality constraints, resulting in a linear complementarity problem (LCP). After the resulting LCP is solved by Lemke's pivoting algorithm, the contact regions are identified and the Newton-Raphson method is used together with path following methods to obtain the new contact forces and equilibrium configurations. The proposed methodology is illustrated by two examples and the results are compared with numerical and experimental results found in literature.

A unified capacitance model of GaAs MESFET (GaAs MESFET의 통합 커패시턴스 모델)

  • 이상흥;송호준;이기준
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.33A no.6
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    • pp.158-163
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    • 1996
  • In the conventional GaAs MESFET circuit simulation, the DC and transient simulation results are often failed due to the discontrinuities of the first and second order derivatives arising from the use of separate C-V models in linear, satruration, and transition regions. In this paper, we propose a unified capacitance model for linear, transition, and saturation regions by using a unified channel length modulation effect that is derived by extending the channel length modulation effect in the saturation region to the linear region. Calculated resutls from the proposed capacitance model agree well with 2-D device simulation resutls. Thus, the proposed model is expected to be useful in circuit simulation.

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Computing Perimeters of Regions for Images Represented by BF Linear Quadtree (BF 선형 4진트리로 표현된 화상에서 둘레 길이 연산)

  • Han, Sang-Ho;Lee, Geuk;Kim, Min-Hwan;Hwang, Hee-Yeung
    • Proceedings of the KIEE Conference
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    • 1987.11a
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    • pp.334-337
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    • 1987
  • An algorithm is presented which computes the perimeter of regions in images represented by BF( breadth first) linear quadtree. In order to compute the perimeter, we determine adjacent neighbor nodes in the horizontal and vertical directions. It is the method which directly find the associated nodes in order to know whether it exists in BF linear quad tree or not. Average execution time of the algorithm is proportional to the number of black nodes in the quadtree.

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POLE-PLACEMENT WITHIN SPECIFIES REGIONS USING LO-DESIGN

  • Loh, N.K.;Ma, X.
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.907-912
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    • 1989
  • A new procedure is presented for optimally placing closed-loop poles of multivariable continuous-time systems in specified regions via linear-quadratic(LQ) state-feedback design. This method has the advantages of pole-placement and LQ-design. In addition, it provides minimum feedback gains in the control law.

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