• Title/Summary/Keyword: perturbed

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A study on upper bounds of the perturbed co-semigroups via the algebraic riccati equation in hilbert space (Hilbert Space에서 대수 Riccati 방정식으로 얻어지는 교란된 Co-Semigroup의 상한에 대한 연구)

  • 박동조
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.68-72
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    • 1986
  • Upper bounds of the perturbed Co-semigroups of the infinite dimensional systems are investigated by using the algebraic Riccati equation(ARE). In the case that the solution P of the ARE is strictly positive, the perturbed semigroups are uniformly bounded. A sufficient condition for the solution P to be strictly positive is provided. The uniform boundedness plays an important role in extending approximately weak stability to weak stability on th whole space. Exponential Stability of the perturbed semigroups is studied by using the Young's inequlity. Some further discussions on the uniform boundedness of the perturbed semigroups are given.

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ON THREE CONDITIONS ON A PERTURBED CANTOR SET

  • BAEK, IN-SOO
    • Honam Mathematical Journal
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    • v.28 no.3
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    • pp.387-393
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    • 2006
  • We study three conditions which seem similar but a little different on a perturbed Cantor set. Since they give different conditions on a perturbed Cantor set, we have another results corresponding to the conditions. We compare the conditions and give different examples which provide different results.

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BOUNDEDNESS IN FUNCTIONAL PERTURBED DIFFERENTIAL SYSTEMS

  • Im, Dong Man;Goo, Yoon Hoe
    • Journal of the Chungcheong Mathematical Society
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    • v.28 no.4
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    • pp.499-511
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    • 2015
  • This paper shows that the solutions to the perturbed dierential system $$y^{\prime}=f(t,y)+{\int}_{t_o}^{t}g(s,y(s))ds+h(t,y(t),Ty(t))$$ have bounded property. To show this property, we impose conditions on the perturbed part ${\int}^{t}_{t_o}g(s,y(s))ds+h(t,y(t),Ty(t))$ and on the fundamental matrix of the unperturbed system y' = f(t, y).

Measurement of Perturbed Pressures under Inherently Compensated Restrictors in Externally Pressurized Air Bearings (자성형 급기공을 갖는 외부가압 공기베어링의 섭동압력측정에 관한 연구)

  • 박상신;한동철
    • Tribology and Lubricants
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    • v.12 no.1
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    • pp.47-55
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    • 1996
  • In this study, steady state and perturbed pressures are experimentally measured under inherently compensated restrictors in externally pressurized air bearings. A piezo actuator is used for simulating small displacement perturbation in the air film. The pressures under the restrictors are measured by a miniature type pressure transducer and the height of the air film is measured by capacitance type gap sensors developed by Chapman's method. The perturbed pressure is obtained through Fourier transformation of the two signals. The measured perturbed pressures are in good agreement with the calculated values.

MEAN SQUARE EXPONENTIAL DISSIPATIVITY OF SINGULARLY PERTURBED STOCHASTIC DELAY DIFFERENTIAL EQUATIONS

  • Xu, Liguang;Ma, Zhixia;Hu, Hongxiao
    • Communications of the Korean Mathematical Society
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    • v.29 no.1
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    • pp.205-212
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    • 2014
  • This paper investigates mean square exponential dissipativity of singularly perturbed stochastic delay differential equations. The L-operator delay differential inequality and stochastic analysis technique are used to establish sufficient conditions ensuring the mean square exponential dissipativity of singularly perturbed stochastic delay differential equations for sufficiently small ${\varepsilon}$ > 0. An example is presented to illustrate the efficiency of the obtained results.

Robust Stability and Disturbance Attenuation for a Class of Uncertain Singularly Perturbed Systems

  • Karimi, H.R.;Yazdanpanah, M.J.
    • Transactions on Control, Automation and Systems Engineering
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    • v.3 no.3
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    • pp.164-169
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    • 2001
  • This paper considers the problem of robust stabilization and disturbance attenuation for a class of uncertain singularly perturbed systems with norm-bounded nonlinear uncertainties. It is shown that the state feedback gain matrices can be determined to guarantee the stability of the closed-loop system for all $\varepsilon$$\in$(0, $\infty$). Based on this key result and some standard Riccati inequality approaches for robust control of singularly perturbed systems, a constructive design procedure is developed.

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On Roots of Perturbed Polynomials

  • Park, Young-Kou
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.1
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    • pp.127-136
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    • 2005
  • We will derive some results on the perturbation of roots using Newton's interpolation formula. And we also compare our results with those obtained by Ostrowski by giving some numerical experiments with Wilkinson's polynomials.

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