The Experts below are selected from a list of 2034 Experts worldwide ranked by ideXlab platform
Morgul O. - One of the best experts on this subject based on the ideXlab platform.
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Stabilization and disturbance rejection for the wave equation
'Institute of Electrical and Electronics Engineers (IEEE)', 1998Co-Authors: Morgul O.Abstract:Cataloged from PDF version of article.We consider a system described by the one-dimensional linear wave equation in a bounded domain with appropriate boundary conditions. To stabilize the system, we propose a dynamic boundary controller applied at the free end of the system. The transfer Function of the proposed controller is a Proper Rational Function of the complex variable s and may contain a single pole at the origin and a pair of complex conjugate poles on the imaginary axis, provided that the residues corresponding to these poles are nonnegative; the rest of the transfer Function is required to be a strictly positive real Function. We then show that depending on the location of the pole on the imaginary axis, the closed-loop system is asymptotically stable. We also consider the case where the output of the controller is corrupted by a disturbance and show that it may be possible to attenuate the effect of the disturbance at the output if we choose the controller transfer Function appropriately. We also present some numerical simulation results which support this argument
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Stabilization and disturbance rejection for the wave equation
'Institute of Electrical and Electronics Engineers (IEEE)', 1998Co-Authors: Morgul O.Abstract:We consider a system described by the one-dimensional linear wave equation in a bounded domain with appropriate boundary conditions. To stabilize the system, we propose a dynamic boundary controller applied at the free end of the system. The transfer Function of the proposed controller is a Proper Rational Function of the complex variable s and may contain a single pole at the origin and a pair of complex conjugate poles on the imaginary axis, provided that the residues corresponding to these poles are nonnegative; the rest of the transfer Function is required to be a strictly positive real Function. We then show that depending on the location of the pole on the imaginary axis, the closed-loop system is asymptotically stable. We also consider the case where the output of the controller is corrupted by a disturbance and show that it may be possible to attenuate the effect of the disturbance at the output if we choose the controller transfer Function appropriately. We also present some numerical simulation results which support this argument
Tetsuya Iwasaki - One of the best experts on this subject based on the ideXlab platform.
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mathematical engineering technical reports sum of squares decomposition via generalized kyp lemma
2008Co-Authors: Shinji Hara, Tetsuya IwasakiAbstract:The Kalman-Yakubovich-Popov (KYP) lemma establishes the equivalence between a frequency domain inequality (FDI) of a Proper Rational Function and a linear matrix inequality (LMI). A recent result generalized the KYP lemma to characterize an FDI of a possibly nonProper Rational Function on a portion of a curve on the complex plane. This note examines implications of the generalized KYP result to sum-of-squares (SOS) decompositions of matrix-valued nonnegative polynomials of a single complex variable on a curve in the complex plane. Our result generalizes and unifies some existing SOS results, and also establishes equivalences among FDI, LMI, and SOS.
Shinji Hara - One of the best experts on this subject based on the ideXlab platform.
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mathematical engineering technical reports sum of squares decomposition via generalized kyp lemma
2008Co-Authors: Shinji Hara, Tetsuya IwasakiAbstract:The Kalman-Yakubovich-Popov (KYP) lemma establishes the equivalence between a frequency domain inequality (FDI) of a Proper Rational Function and a linear matrix inequality (LMI). A recent result generalized the KYP lemma to characterize an FDI of a possibly nonProper Rational Function on a portion of a curve on the complex plane. This note examines implications of the generalized KYP result to sum-of-squares (SOS) decompositions of matrix-valued nonnegative polynomials of a single complex variable on a curve in the complex plane. Our result generalizes and unifies some existing SOS results, and also establishes equivalences among FDI, LMI, and SOS.
Т. Шагова Г. - One of the best experts on this subject based on the ideXlab platform.
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Cамоподобные рациональные мнемофункции и их связь с аналитическим представлением распределений
'Publishing House Belorusskaya Nauka', 2019Co-Authors: Shahava T. R., Т. Шагова Г.Abstract:MnemoFunctions of the form f(x/ε), where f is the Proper Rational Function without singularities on the real line, are considered in this article. Such mnemoFunctions are called automodeling Rational mnemoFunctions. They possess the following fine Properties: asymptotic expansions in the space of distributions can be written in explicit form and the asymptotic expansion of the product of such mnemoFunctions is uniquely determined by the expansions of multiplicands.Partial fraction decomposition of automodeling Rational mnemoFunctions generates the so-called sloped analytical representation of a distribution, i.e. the representation of a distribution by a jump of the boundary values of the Functions analytical in upper and lower half-planes. Sloped analytical representation is similar to the classical Cauchy analytical representation, but its structure is more complicated. The multiplication rule of such representations is described in this article.Рассматриваются самоподобные рациональные мнемофункции, т. е. семейства функций вида f(x/ε), где f – правильная рациональная функция, не имеющая полюсов на вещественной оси. Для самоподобных рациональных мнемофункций асимптотическое разложение в пространстве распределений выписывается в явном виде и асимптотическое разложение произведения таких мнемофункций однозначно определяется по разложениям сомножителей.Разложение самоподобных рациональных мнемофункций на простейшие порождает представление ассоциированных распределений через граничные значения аналитических в верхней и нижней полуплоскостях функций. Оно действует наподобие классического аналитического представления Коши, однако имеет более сложную структуру, так как движение к границе осуществляется по наклонным направлениям. В данной работе описано правило умножения таких представлений, которые будем называть скошенными аналитическими представлениями
Shahava T. R. - One of the best experts on this subject based on the ideXlab platform.
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Cамоподобные рациональные мнемофункции и их связь с аналитическим представлением распределений
'Publishing House Belorusskaya Nauka', 2019Co-Authors: Shahava T. R., Т. Шагова Г.Abstract:MnemoFunctions of the form f(x/ε), where f is the Proper Rational Function without singularities on the real line, are considered in this article. Such mnemoFunctions are called automodeling Rational mnemoFunctions. They possess the following fine Properties: asymptotic expansions in the space of distributions can be written in explicit form and the asymptotic expansion of the product of such mnemoFunctions is uniquely determined by the expansions of multiplicands.Partial fraction decomposition of automodeling Rational mnemoFunctions generates the so-called sloped analytical representation of a distribution, i.e. the representation of a distribution by a jump of the boundary values of the Functions analytical in upper and lower half-planes. Sloped analytical representation is similar to the classical Cauchy analytical representation, but its structure is more complicated. The multiplication rule of such representations is described in this article.Рассматриваются самоподобные рациональные мнемофункции, т. е. семейства функций вида f(x/ε), где f – правильная рациональная функция, не имеющая полюсов на вещественной оси. Для самоподобных рациональных мнемофункций асимптотическое разложение в пространстве распределений выписывается в явном виде и асимптотическое разложение произведения таких мнемофункций однозначно определяется по разложениям сомножителей.Разложение самоподобных рациональных мнемофункций на простейшие порождает представление ассоциированных распределений через граничные значения аналитических в верхней и нижней полуплоскостях функций. Оно действует наподобие классического аналитического представления Коши, однако имеет более сложную структуру, так как движение к границе осуществляется по наклонным направлениям. В данной работе описано правило умножения таких представлений, которые будем называть скошенными аналитическими представлениями
