• Title/Summary/Keyword: PENG

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A study on the stabilizing control of uncertain system with optimal control (최적제어이론을 이용한 불확실한 시스템의 제어 기법 연구)

  • 한형석;이장규
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.55-59
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    • 1991
  • This paper presents a method for designing a full state feedback linear static control law. This will stabilize a given linear uncertain system and also guarantee the performance of the system. The uncertain systems are described by state equation which contains uncertain parameters in system and input distribution matrices. The method is based on the guaranteed cost control of Chang and Peng(1972). The controller gain can be obtained by the solution of a algebraic Riccati equation in which the input weighting matrices depend on the uncertainty bounds. The algebraic Riecati equation in this paper is same as that of weighted LQ regulator problem.

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A QUADRATIC INTEGRAL EQUATION IN THE SPACE OF FUNCTIONS WITH TEMPERED MODULI OF CONTINUITY

  • PENG, SHAN;WANG, JINRONG;CHEN, FULAI
    • Journal of applied mathematics & informatics
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    • v.33 no.3_4
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    • pp.351-363
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    • 2015
  • In this paper, we investigate existence of solutions to a class of quadratic integral equation of Fredholm type in the space of functions with tempered moduli of continuity. Two numerical examples are given to illustrate our results.

Four Species of Jumping Spiders (Areaneae: Salticidae) from China

  • Xian-Jin Peng;Joo-Pil Kim
    • Animal cells and systems
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    • v.2 no.4
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    • pp.411-414
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    • 1998
  • One novel species, Phaeacius yunnanensis n. sp. and three species new to China, Brettus albolimbattus, Hyllus lacertosus and Ptocasius kinhi of the jumping spider.belonging to the family Salticidae, are described based on the materials collected from Yunnan Province, China. The new species is similar to Phaecius lancerarius, but can be distinguished by secondary conductor covers on the emblus. That of the latter below the emblous, retro1aterial tibial apophysis, is much more slender and with an abdominal pattern.

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BLOW UP OF SOLUTIONS TO A SEMILINEAR PARABOLIC SYSTEM WITH NONLOCAL SOURCE AND NONLOCAL BOUNDARY

  • Peng, Congming;Yang, Zuodong
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1435-1446
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    • 2009
  • In this paper we investigate the blow up properties of the positive solutions to a semi linear parabolic system with coupled nonlocal sources $u_t={\Delta}u+k_1{\int}_{\Omega}u^{\alpha}(y,t)v^p(y,t)dy,\;v_t={\Delta}_v+k_2{\int}_{\Omega}u^q(y,t)v^{\beta}(y,t)dy$ with non local Dirichlet boundary conditions. We establish the conditions for global and non-global solutions respectively and obtain its blow up set.

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ON COMPLETE CONVERGENCE FOR EXTENDED INDEPENDENT RANDOM VARIABLES UNDER SUB-LINEAR EXPECTATIONS

  • Deng, Xin;Wang, Xuejun
    • Journal of the Korean Mathematical Society
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    • v.57 no.3
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    • pp.553-570
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    • 2020
  • In this paper, we establish complete convergence for sequences of extended independent random variables and arrays of rowwise extended independent random variables under sub-linear expectations in Peng's framework. The results obtained in this paper extend the corresponding ones of Baum and Katz [1] and Hu and Taylor [11] from classical probability space to sub-linear expectation space.

CONVERGENCE RATES FOR THE MOMENTS OF EXTREMES

  • Peng, Zuoxiang;Nadarajah, Saralees
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.3
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    • pp.495-510
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    • 2012
  • Let $X_1$, $X_2$,${\ldots}$, $X_n$ be a sequence of independent and identically distributed random variables with common distribution function $F$. Convergence rates for the moments of extremes are studied by virtue of second order regularly conditions. A unified treatment is also considered under second order von Mises conditions. Some examples are given to illustrate the results.

CONVERGENCE RATE OF EXTREMES FOR THE GENERALIZED SHORT-TAILED SYMMETRIC DISTRIBUTION

  • Lin, Fuming;Peng, Zuoxiang;Yu, Kaizhi
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.5
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    • pp.1549-1566
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    • 2016
  • Denote $M_n$ the maximum of n independent and identically distributed variables from the generalized short-tailed symmetric distribution. This paper shows the pointwise convergence rate of the distribution of $M_n$ to exp($\exp(-e^{-x})$) and the supremum-metric-based convergence rate as well.

TWO COMPARISON THEOREMS OF BSDES

  • Huang, Xiao-Qin;Wang, Mian-Sen;Jia, Jun-Guo
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.377-385
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    • 2007
  • In this paper, by the equations of Mao [9] and Peng [5], we use the martingale method to establish the comparison theorems of backward stochastic differential equations (BSDEs). We generalize the results of Cao-Yan [1].

Multiple Antenna Technologies

  • Mohaisen, Manar;Wang, YuPeng;Chang, Kyung-Hi
    • Information and Communications Magazine
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    • v.24 no.5
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    • pp.107-123
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    • 2007
  • Multiple antenna technologies have received high attention in the last few decades for their capabilities to improve the overall system performance. Multiple-input multiple-output systems include a variety of techniques capable of not only increase the reliability of the communication but also impressively boost the channel capacity. In addition, smart antenna systems can increase the link quality and lead to appreciable interference reduction.