• 제목/요약/키워드: bounded real

검색결과 192건 처리시간 0.027초

Bounded real 전달함수의 이산모델 차수줄임 (Discrete model reduction of bounded real transfer functions)

  • 오도창;정은태;박홍배
    • 전자공학회논문지B
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    • 제33B권5호
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    • pp.33-40
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    • 1996
  • In this paper, we propose the discrete model reduction method of bounded real transfer functions. From the discrete bounded real lemma, we obtain the two riccati equations and define the disrete bounded real balancing using solutions of these two riccati equations. And we get the reduced order discrete model from the GSPA of full order model. Especially, when free parameter of GSPA is .+-.1, we show that the reduced order discrete model retains minimality, stability, and bounded real and BR-balancing properties. And we derive the .inf.-norm error bound between full order model and reduced order model. Finally to illustrate the validity of proposed method, we give an example.

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양실 시스템의 시간영역에서의 특성 (Properties of positive real systems in time domain)

  • 심덕선
    • 제어로봇시스템학회논문지
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    • 제4권2호
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    • pp.157-162
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    • 1998
  • This paper provides some properties of positive real systems in time domain. It is well-known that a positive real system and a bounded real system are closely related by bilinear transform in a frequency domain. By using supply rate and storage function, we show that a positive real system can be transformed into a bounded real system, and that a positive real system can be transformed into another positive real system with in a time domain. Also, we show that an ESPR(extended strictly positive real) system can be decomposed into a feedback system of lossless positive real system and another ESPR system. These results may be used to design an output feedback controller for mixed H$H_2$ESPR problem.

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Supervisor for Real-Time Nondeterministic Discrete Event Systems Under Bounded Time Constraints

  • Park, Seong-Jin;Cho, Kwang-Hyun;Lim, Jong-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.104.4-104
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    • 2001
  • This paper addresses a supervisory control problem to meet bounded time constraints in real-time nondeterministic discrete event systems (DESs) represented as timed transition models. For a timed language specification representing a bounded time constraint, this paper introduces the notions of trace-controllability and time-controllability. Based on the notions, this paper presents the necessary and sufficient conditions for the existence of a supervisor for a real-time nondeterministic DES to achieve the specification.

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$H{\infty}$제어와 양실 제어의 일반형태인 구간영역제어기의 설계 (Synthesis of Sector-Bounded Control : General Approach of $H{\infty}$ Control and Positive Real Control)

  • 심덕선
    • 제어로봇시스템학회논문지
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    • 제5권1호
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    • pp.1-10
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    • 1999
  • We consider the problem of synthesizing an internally stabilizing linear time-invariant controller for a linear tune-Invariant plant such that a given closed loop transfer function is strictly sector bounded. We show that the standard $H{\infty}$ control problem and the $\tau$ -positive real control problem are special cases of sector bounded control problem. Necessary and sufficient conditions for the existence of a controller are obtained. The state-space representation for strictly proper controllers are given in terms of solutions to ARIs or AREs.

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SOME REMARKS FOR KÜNNETH FORMULA ON BOUNDED COHOMOLOGY

  • Park, HeeSook
    • 호남수학학술지
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    • 제37권1호
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    • pp.7-27
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    • 2015
  • Kuneth formula is to compute (co)-homology of $A{\otimes}B$ for known (co)-homology of the complexes A and B. In the ordinary case, this is done by using elementary homological methods in an abelian category. However, when we consider the bounded cochain complex with values in $\mathbb{R}$ and its structure as a real Banach space, the techniques of homological algebra for constructing K$\ddot{u}$nneth type formulas on it are not effective. The most notable facts are the image of a morphism of Banach spaces is not necessarily closed, and also the closed summand of a Banach space need not be a topological direct summand. The main goal of this paper is to construct the theory of K$\ddot{u}$nneth type formula on bounded cohomology with real coefficients in the suitable category of Banach spaces with some restricted conditions.

THE KÜNNETH ISOMORPHISM IN BOUNDED COHOMOLOGY PRESERVING THE NORMS

  • Park, HeeSook
    • 대한수학회보
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    • 제57권4호
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    • pp.873-890
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    • 2020
  • In this paper, for discrete groups G and K, we show that the cohomology of the complex of projective tensor product B*(G)⨶B*(K) is isomorphic to the bounded cohomology Ĥ*(G × K) of G × K, which is the cohomology of B*(G × K) as topological vector spaces, where B*(G) is a complex of bounded cochains of G with real coefficients ℝ. In fact, we construct an isomorphism between these two cohomology groups that carries the canonical seminorm in Ĥ*(G × K) to the seminorm in the cohomology of B*(G)⨶B*(K).

SOME REMARKS ON BOUNDED COHOMOLOGY GROUP OF PRODUCT OF GROUPS

  • Park, HeeSook
    • 호남수학학술지
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    • 제41권3호
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    • pp.631-650
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    • 2019
  • In this paper, for discrete groups G and K, we show that the bounded cohomology group of $G{\times}K$ is isomorphic to the cohomology group of the complex of the projective tensor product $B^*(G){\hat{\otimes}}B^*(K)$, where $B^*(G)$ and $B^*(G)$ are the complexes of bounded cochains with real coefficients ${\mathbb{R}}$ of G and K, respectively.

ON DENJOY-STIELTJES INTEGRAL

  • Park, Chun-Kee
    • Korean Journal of Mathematics
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    • 제9권2호
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    • pp.105-114
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    • 2001
  • In this paper we introduce the concepts of generalized bounded variation with respect to a strictly increasing function and Denjoy-Stieltjes integral of real-valued functions and then prove some properties of them.

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Unbounded Scalar Operators on Banach Lattices

  • deLaubenfels, Ralph
    • 호남수학학술지
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    • 제8권1호
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    • pp.1-19
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    • 1986
  • We show that a (possibly unbounded) linear operator, T, is scalar on the real line (spectral operator of scalar type, with real spectrum) if and only if (iT) generates a uniformly bounded semigroup and $(1-iT)(1+iT)^{-1}$ is scalar on the unit circle. T is scalar on [0, $\infty$) if and only if T generates a uniformly bounded semigroup and $(1+T)^{-1}$ is scalar on [0,1). By analogy with these results, we define $C^0$-scalar, on the real line, or [0. $\infty$), for an unbounded operator. We show that a generator of a positive-definite group is $C^0$-scalar on the real line. and a generator of a completely monotone semigroup is $C^0$-scalar on [0, $\infty$). We give sufficient conditions for a closed operator, T, to generate a positive-definite group: the sequence < $\phi(T^{n}x)$ > $_{n=0}^{\infty}$ must equal the moments of a positive measure on the real line, for sufficiently many positive $\phi$ in $X^{*}$, x in X. If the measures are supported on [0, $\infty$), then T generates a completely monotone semigroup. On a reflexive Banach lattice, these conditions are also necessary, and are equivalent to T being scalar, with positive projection-valued measure. T generates a completely monotone semigroup if and only if T is positive and m-dispersive and generates a bounded holomorphic semigroup.

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EXISTENCE OF SOLUTION OF NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS IN GENERAL BANACH SPACES

  • Jeong, Jin-Gyo;Shin, Ki-Yeon
    • 대한수학회논문집
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    • 제11권4호
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    • pp.1003-1013
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    • 1996
  • The existence of a bounded generalized solution on the real line for a nonlinear functional evolution problem of the type $$ (FDE) x'(t) + A(t,x_t)x(t) \ni 0, t \in R $$ in a general Banach spaces is considered. It is shown that (FDE) has a bounded generalized solution on the whole real line with well-known Crandall and Pazy's result and recent results of the functional differential equations involving the operator A(t).

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