記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：Hikari Ltd  

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：Hikari Ltd  

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：Hikari Ltd  

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：Elsevie  

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：Hikari Ltd  

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：TAYLOR & FRANCIS LTD  

We present a new framework for finite spectrum assignment for multi-input systems with non-commensurate delays using an algebraic approach over multidimensional polynomial matrices. By focusing on the solvability of a Bezout equation over multidimensional polynomial matrices, we derive a necessary and sufficient condition for finite spectrum assignability under which a finite number of spectra can be assigned by a control law using a ring of entire functions, i.e. Laplace transforms of all exponential time functions with compact support. Furthermore, using a solution to the Bezout equation, we present a design method for a controller that achieves finite spectrum assignment.

DOI： 10.1080/00207179.2012.679974

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：Hikari Ltd  

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：Elsevier  

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：TAYLOR & FRANCIS LTD  

This article appropriately describes the safety dynamics of switching control systems under the most realistic and popular failure mode of a switching unit, 'locking', by introducing a new idea of situation-dependent basic events in dynamic fault trees with restorable basic events. As a result, possible non-coherence in the safety dynamics is pointed out for the first time. This article also presents a safety analysis framework based on the Markov analysis in order to address the non-coherence correctly.

DOI： 10.1080/00207179.2011.626456

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：TAYLOR & FRANCIS LTD  

This article presents a new framework for dealing with pure and distributed delays simultaneously and impartially as general delays in algebraic finite spectrum assignment. The framework based on an important property common to general delays gives a sufficient condition for finite spectrum assignability of scalar systems with several general delays and a design method of a controller achieving finite spectrum assignment. Especially in algebraic control theory for delay systems, pure and distributed delays have never been dealt with simultaneously and impartially. The framework is significantly important also for multidimensional system theory because its potential applicability to the discussion on systems with general delays, i.e. the possibility that especially distributed delay operators are used as variables for describing multidimensional systems, is clarified for the first time.

DOI： 10.1080/00207179.2011.631150

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記述言語：日本語   出版者・発行元：東京海洋大学  

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：OSAKA JOURNAL OF MATHEMATICS  

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：お茶の水女子大学  

Let X^H(t) be a fractional Brownian motion with index H (0<H&le;1/2), and let D_n(t_0, t_1, ... t_n) (0&le;t_0<t_1<...<t_n) denote the correlation matrix of {X^H(t_<k+1>)-X^H(t_k): k=1, ..., n-1}. In this paper the asymptotic behaviour of (1/n) log det D_n as n tends to ∞ is studied.

CiNii Books

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その他リンク： http://hdl.handle.net/10083/2349

記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：お茶の水女子大学  

Let X_1, X_2,... be nonnegative independent random variables with a common distribution attracted to the stable law G_α, and put S_n=X_1+X_2+…+X_n. That is for some monotone increasing function σ(n), P[S_n/σ(n)≤x]→G_α(x), for every x>0 as n→∞. The aim of the present paper is to study the asymptotic behaviour of P[S_n/σ(n)≤x_n], where x_n is a positive sequence such that x_n→0 as n→∞.

CiNii Books

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その他リンク： http://hdl.handle.net/10083/867

記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：KINOKUNIYA CO LTD  

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：KINOKUNIYA CO LTD  

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：大阪大学  

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：ELSEVIER SCIENCE BV  

Recently, N. Kono gave a limit theorem for occupation times of fractional Brownian motion, which result generalizes the well-known Kallianpur-Robbins law for two-dimensional Brownian motion. This paper studies a functional limit theorem for Kono's result. It is proved that, under a suitable normalization, the limiting process is the inverse of an extremal process.

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