1,721,794 research outputs found

    Kimura H. (1999) Microblades Industries in Siberia

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    Jaubert Jacques. Kimura H. (1999) Microblades Industries in Siberia. In: Bulletin de la Société préhistorique française, tome 98, n°1, 2001. pp. 140-141

    Kimura H. (1999) The Blade Arrowhead Culture Over Northeast Asia

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    Jaubert Jacques. Kimura H. (1999) The Blade Arrowhead Culture Over Northeast Asia. In: Bulletin de la Société préhistorique française, tome 98, n°1, 2001. p. 141

    Nonlinear L2L_2-gain suboptimal control

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    A method of solving the nonlinear local L2L_2-gain suboptimal control problem based on the chain-scattering approach is proposed. This problem requires L2L_2-gain of the closed loop to be less than one and closed loop internal stability defined in the small signal input-output sense. We obtained sufficient conditions for the existence of a suboptimal controller in terms of state-space description of the plant as well as a local state-space parameterization of a class of controllers solving the local L2L_2-gain suboptimal problem. The design procedure is demonstrated in a numerical example

    Nonlinear J-lossless conjugation and factorization

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    A new definition of nonlinear local J-lossless factorization is introduced, which plays a crucial role in nonlinear H∞ control theory. Sufficient (and in two special cases also necessary) conditions for the existence of this factorization and state-space formulae of the factor systems are given here. The main tools for the J-lossless factorization are the local right and left J-lossless conjugations, introduced in this paper. The former corresponds to the standard linear J-lossless conjugation, while the latter has no counterpart in the linear theory where it is completely dual to the former one and hence conceptually redundant. In the nonlinear case, however, this duality is much weaker and therefore the left J-lossless conjugation is essential for solving the local J-lossless factorization for unstable systems. This factorization requires a transformation of the given system to a special form and solving two independent Hamilton-Jacobi partial differential equations. Solutions of the two Hamilton-Jacobi equations have to satisfy a simple coupling condition

    Nonstandard H<sub>∞</sub> control based on (J,J<sup>0</sup>)-dissipative factorization

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    This paper proposes a new approach to solving a class of nonstandard H∞ control problems. It deals with cases where the transfer matrix from the external input to the measurement output is assumed to be invertible at infinity and to have no zero on the imaginary axis. However, there is no assumption about the transfer matrix from the control input to the penalized output. Our approach is based on the chain-scattering representation and a newly proposed (J,J0)-dissipative factorization. It extends the well-known approach to the standard H∞ control based on the (J,J')-lossless factorization while preserving its simplicity. We provide also a parametrization of the set of controllers solving the given problem

    Nonlinear coprime factorizations and parameterization of a class of stabilizing controllers

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    New definitions for right,left and doubly coprime factorizations for nonlinear, input-affine state-space systems are introduced. These definitions are based on the state-to-output stability introduced by Baramov and Kimura (1996) and the chain-scattering formalism. Sufficient conditions for the existence of these factorizations as well as local state-space formulas for factors are given. Finally, these results are applied to obtain a parameterized set of stabilizing controllers to a fairly broad class of plants, for transforming the original feedback control configuration into the open-loop model matching configuration and for thus extending the classical Youla-Kucera parametrization to nonlinear (local) cases
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