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A study on the variable structure control method including robot operational condition (로보트 운용조건을 포함한 가변구조 제어방식에 관한 연구)

  • 이홍규;이범희;최계근
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.72-75
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    • 1988
  • Due to the fact that the set point regulation scheme by the variable structure control method concerns only the initial and final locations of a manipulator, many constraints may exist in the application of path tracking with obstracle avoidance. The variable structure parameter should be selected in the trajectory planning step by satisfying the constraints of the travel time and the path deviations This paper presents the selection algorithm of the variable structure parameters with the constraints of the system dynamics and the travel time and the path deviation. This study makes unify the trajectory planning and tracking control using the variable structure control method.

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MIXED TYPE DUALITY FOR CONTROL PROBLEMS WITH GENERALIZED INVEXITY

  • Husain, I.;Ahmed, A.;Ahmad, B.
    • Journal of applied mathematics & informatics
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    • v.26 no.5_6
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    • pp.819-837
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    • 2008
  • A mixed type dual to the control problem in order to unify Wolfe and Mond-Weir type dual control problem is presented in various duality results are validated and the generalized invexity assumptions. It is pointed out that our results can be extended to the control problems with free boundary conditions. The duality results for nonlinear programming problems already existing in the literature are deduced as special cases of our results.

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COINCIDENCE AND COMMON FIXED POINTS OF NONCOMPATIBLEMAPS

  • Beg, Ismat;Abbas, Mujahid
    • Journal of applied mathematics & informatics
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    • v.29 no.3_4
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    • pp.743-752
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    • 2011
  • Fixed point theorems for two hybrid pairs of single valued and multivalued noncompatible maps under strict contractive condition are proved, without appeal to continuity of any map involved therein and completeness of underlying space. These results extend, unify and improve the earlier comparable known results.

A GENERAL ITERATIVE METHOD BASED ON THE HYBRID STEEPEST DESCENT SCHEME FOR VARIATIONAL INCLUSIONS, EQUILIBRIUM PROBLEMS

  • Tian, Ming;Lan, Yun Di
    • Journal of applied mathematics & informatics
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    • v.29 no.3_4
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    • pp.603-619
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    • 2011
  • To the best of our knowledge, it would probably be the first time in the literature that we clarify the relationship between Yamada's method and viscosity iteration correctly. We design iterative methods based on the hybrid steepest descent algorithms for solving variational inclusions, equilibrium problems. Our results unify, extend and improve the corresponding results given by many others.

Characterization of Phase change Memory Cell for Contact Area (접촉 면적에 따른 상변화 메모리 소자의 특성 고찰)

  • Kim, Jae-Wook;Kang, Ey-Goo;Sung, Man-Young
    • 한국컴퓨터산업교육학회:학술대회논문집
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    • 2003.11a
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    • pp.75-78
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    • 2003
  • An ideal semiconductor memory technology would combine or unify the attractive features of these technologies without acquiring any of the unattractive features. Such a memory technology, Phase Change RAM is now being developed using the class of elements known as chalcogenides. It is expected that this technology will eventually allow chips that have SRAM speed, DRAM cost, and Flash power characteristics and non-volatility.

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COUPLED FIXED POINTS FOR MIXED g-MONOTONE UNDER RATIONAL CONTRACTIVE EXPRESSIONS IN PARTIALLY ORDERED METRIC SPACES

  • Nashine, Hemant Kumar;Gupta, Anita
    • East Asian mathematical journal
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    • v.32 no.5
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    • pp.745-765
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    • 2016
  • We propose coupled fixed point theorems for maps satisfying contractive conditions involving a rational expression in the setting of partially ordered metric spaces. We also present a result on the existence and uniqueness of coupled fixed points. In particular, it is shown that the results existing in the literature are extend, generalized, unify and improved by using mixed monotone property. Given to support the useability of our results, and to distinguish them from the known ones.

SOME EXISTENCE THEOREMS FOR FUNCTIONAL EQUATIONS ARISING IN DYNAMIC PROGRAMMING

  • LIU ZEQING;UME JEONG SHEOK;KANG SHIN MIN
    • Journal of the Korean Mathematical Society
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    • v.43 no.1
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    • pp.11-28
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    • 2006
  • The existence, uniqueness and iterative approximation of solutions for a few classes of functional equations arising in dynamic programming of multistage decision processes are discussed. The results presented in this paper extend, improve and unify the results due to Bellman [2, 3], Bhakta-Choudhury [6], Bhakta-Mitra [7], and Liu [12].

SOME STABILITY RESULTS FOR COINCIDENCE POINT ITERATIVE ALGORITHMS WITH THREE MAPPINGS

  • Kim, Seung-Hyun;Kang, Mee-Kwang
    • The Pure and Applied Mathematics
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    • v.27 no.1
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    • pp.61-70
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    • 2020
  • In this paper, we introduce a new concept of stability of coincidence iterative algorithm for three mappings and derive a new three-step Jungck-type iterative algorithm. And, we prove a stability result and a strong convergence result for the Jungck-type algorithm using the MJ-contractive condition. Our results extend and unify the corresponding ones in [3, 6, 7, 13].

Development of Next Unified Passenger Information System (차세대통합승객안내시스템 개발방향)

  • Lee, Chang-Mu;Lee, Han-Min;Oh, Seh-Chan;Kim, Gil-Dong
    • Proceedings of the KSR Conference
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    • 2008.06a
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    • pp.610-613
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    • 2008
  • According to multi-functionalizing the faculty of EMU and installing up-to-date convenient facilities in EMU additionally and individually, it make many problems, such as space insufficiency of driver cab, interface inharmony and functional overlapping of device. So it is necessary to unify broadcasting equipment, display equipment and CCTV installed individually.

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Equivalent Formulations of Zorn's Lemma and Other Maximum Principles

  • Park, Sehie
    • The Mathematical Education
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    • v.25 no.3
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    • pp.19-24
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    • 1987
  • In this paper, we give a result that maximum principles including Zorn's lemma can be regarded as various types of fixed point theorems. Our main application is that the well-known ordering principles in nonlinear analysis including the Bishop-Phelps argument and a number of its generalizations can be converted to fixed point theorems and vice versa. Consequently, we obtain new results and unify many known results.

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