• Title/Summary/Keyword: Relationship matrix

Search Result 748, Processing Time 0.028 seconds

A DUAL ALGORITHM FOR MINIMAX PROBLEMS

  • HE SUXIANG
    • Journal of applied mathematics & informatics
    • /
    • v.17 no.1_2_3
    • /
    • pp.401-418
    • /
    • 2005
  • In this paper, a dual algorithm, based on a smoothing function of Bertsekas (1982), is established for solving unconstrained minimax problems. It is proven that a sequence of points, generated by solving a sequence of unconstrained minimizers of the smoothing function with changing parameter t, converges with Q-superlinear rate to a Kuhn-Thcker point locally under some mild conditions. The relationship between the condition number of the Hessian matrix of the smoothing function and the parameter is studied, which also validates the convergence theory. Finally the numerical results are reported to show the effectiveness of this algorithm.

Effect of Pulse Plating on Hardness of Brass-Alumina Nanocomposite (펄스전류인가가 황동-알루미나 나노복합도금층의 경도에 미치는 영향)

  • 오영주;안재우;안종관;이만승
    • Journal of the Korean institute of surface engineering
    • /
    • v.35 no.3
    • /
    • pp.158-164
    • /
    • 2002
  • Nanocomposites consisting of a nanocrystalline brass matrix (grain size ; 20-100nm) with sub-micron sized Al2O3 particles (60-200nm) were prepared by pulsed current electrodeposition. The microhardness of the nanocomposite with a grain size of 90-100nm was approximately 1.7 times higher than that of a comparable electrodeposit with no particles. However, significant variations in microhardness were not observed between the nanocomposites with grain sizes of 20 nm and the comparable electrodeposit.

On-Line Monitoring of Microscopic Fracture Behavior of Concrete Using Acoustic Emission (음향방출을 이용한 콘크리트 부재의 미시적 파괴특성의 On-Line Monitoring)

  • 이준현;이진경;장일영;윤동진
    • Proceedings of the Korea Concrete Institute Conference
    • /
    • 1998.04b
    • /
    • pp.677-682
    • /
    • 1998
  • Concrete is an inhomogeneous material consisting of larger aggregates and sand embedded in a cement paste matrix. In this study, an acoustic emission technique has been used to clarify the microscope failure mechanisms of concrete under three point bending test. AE source location has also been done to monitor the activities of internal damage and the progress of microscopic failure path during the loading. The relationship between AE characteristic and microscopic and microscopic failure mechanism is discussed.

  • PDF

ALEXANDER POLYNOMIAL FOR LINK CROSSINGS

  • Lee, Youn W.
    • Bulletin of the Korean Mathematical Society
    • /
    • v.35 no.2
    • /
    • pp.235-258
    • /
    • 1998
  • We define a crossing of a link without referring to a specific projection of the link and describe a construction of a non-normalized Alexander polynomial associated to collections of such crossings of oriented links under an equivalence relation, called homology relation. The polynomial is computed from a special Seifert surface of the link. We prove that the polynomial is well-defined for the homology equivalence classes, investigate its relationship with the combinatorially defined Alexander polynomials and study some of its properties.

  • PDF

Code automorphism group algorithms and applications

  • Cho, Han-Hyuk;Shin, Hye-Sun;Yeo, Tae-Kyung
    • Communications of the Korean Mathematical Society
    • /
    • v.11 no.3
    • /
    • pp.575-584
    • /
    • 1996
  • We investigate how the code automorphism groups can be used to study such combinatorial objects as codes, finite projective planes and Hadamard matrices. For this purpose, we write down a computer program for computing code automorphisms in PASCAL language. Then we study the combinatorial properties using those code automorphism group algorithms and the relationship between combinatorial objects and codes.

  • PDF

Dynamic optimal design of an anthropomorphic robot manipulator (인체형 로봇 매니퓰레이터의 동역학적 최적설계)

  • 이상헌;이병주;광윤근
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1994.10a
    • /
    • pp.82-87
    • /
    • 1994
  • In this study, dynamic optimal design far a two degree-of-freedom anthropomorphic robot module is performed. Several dynamic design indices associated with the inertia matrix and the inertia power array are introduced. Analysis for the relationship between the dynamic parameters and the design indices shows that trade-offs exist between the isotropy and the dynamic design indices related to the actuator size. A composite design index is employed to deal with multi-criteria based design with different weighting factors, in a systematic manner. We demonstrate the fact that dynamic optimization is another significant step to enhance the system performances, followed by kinematic optimization.

  • PDF

Estimation of Modal Participation Factor of a Structure under Earthquake Load (지진하중을 받는 구조물의 모드기여계수 산정)

  • 황재승;김홍진
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2004.10a
    • /
    • pp.461-468
    • /
    • 2004
  • Modal participation factor(MPF) is essential to analyze structural response under earthquake load. MPF of real structure differs from that of analytic mathematical model due to the error induced from analytical assumption and construction. In this study, a identification method is proposed to calculate the MPF of real structure based on H∞ optimal model reduction. The MPF is obtained from the relationship between observability, controllability matrix of realized from S.I. and typical 2-degree state space model. The proposed method is verified thorough examples.

  • PDF

PID Controller Tuning Using LQR method - Time domain approach (LQR방법에 의한 PID제어기 동조 - 시간영역에서의 접근)

  • Yang, Ji-Hoon;Suh, Byung-Suhl
    • Proceedings of the KIEE Conference
    • /
    • 2001.11c
    • /
    • pp.3-6
    • /
    • 2001
  • This paper presents optimal robust PID controller design method for second order systems to satisfy the design specifications in time domain. The parameters of PID controller are determinated by the weighting factors Q and R of cost function. It is suggested that the selection of Q and R matrix can be determinated by its relationship with the natural frequency of ITAE criterion.

  • PDF

A Design of Velocity Type Digital Control Systems for Space Robots Using Transpose of GJM

  • Mahiro, Oya;Graefe, Volker
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2001.10a
    • /
    • pp.147.3-147
    • /
    • 2001
  • We have proposed a digital control method, where the controlled variable is a joint angular velocity, of space robot manipulators using the transpose of Generalized Jacobian Matrix. The explicit relationship between the control law and the sampling period, however, is unknown because the controller gains include the sampling period implicitly. This paper presents a novel digital control method which explicitly describes the relation between the sampling period and the controller gains. Computer simulation of a 3-DOF planar space robot manipulator is peformed. Simulation result demonstrates the effctiveness of the proposed method.

  • PDF