• Title/Summary/Keyword: canonical form

Search Result 166, Processing Time 0.035 seconds

A Study on controllable canonical forms for multi-input multi-output systems (다입력-다출력 시스템의 가제어성 정준형에 관한 연구)

  • 오세호;변증남
    • Journal of the Korean Institute of Telematics and Electronics
    • /
    • v.17 no.6
    • /
    • pp.9-16
    • /
    • 1980
  • On the multivariable systems described by state equations, it is well known that the poles of the system can be arbitrarily assigned In the S- plane by some state feedback. In this paper, it is discussed that a canonical form by which the state feedback gain matrix for pole assignment may be easily obtained Is stooled and also an algorithm to fond the state feedback gain matrix is presented.

  • PDF

Multi-block Analysis of Genomic Data Using Generalized Canonical Correlation Analysis

  • Jun, Inyoung;Choi, Wooree;Park, Mira
    • Genomics & Informatics
    • /
    • v.16 no.4
    • /
    • pp.33.1-33.9
    • /
    • 2018
  • Recently, there have been many studies in medicine related to genetic analysis. Many genetic studies have been performed to find genes associated with complex diseases. To find out how genes are related to disease, we need to understand not only the simple relationship of genotypes but also the way they are related to phenotype. Multi-block data, which is a summation form of variable sets, is used for enhancing the analysis of the relationships of different blocks. By identifying relationships through a multi-block data form, we can understand the association between the blocks in comprehending the correlation between them. Several statistical analysis methods have been developed to understand the relationship between multi-block data. In this paper, we will use generalized canonical correlation methodology to analyze multi-block data from the Korean Association Resource project, which has a combination of single nucleotide polymorphism blocks, phenotype blocks, and disease blocks.

Assessment of tunnel damage potential by ground motion using canonical correlation analysis

  • Chen, Changjian;Geng, Ping;Gu, Wenqi;Lu, Zhikai;Ren, Bainan
    • Earthquakes and Structures
    • /
    • v.23 no.3
    • /
    • pp.259-269
    • /
    • 2022
  • In this study, we introduce a canonical correlation analysis method to accurately assess the tunnel damage potential of ground motion. The proposed method can retain information relating to the initial variables. A total of 100 ground motion records are used as seismic inputs to analyze the dynamic response of three different profiles of tunnels under deep and shallow burial conditions. Nine commonly used ground motion parameters were selected to form the canonical variables of ground motion parameters (GMPCCA). Five structural dynamic response parameters were selected to form canonical variables of structural dynamic response parameters (DRPCCA). Canonical correlation analysis is used to maximize the correlation coefficients between GMPCCA and DRPCCA to obtain multivariate ground motion parameters that can be used to comprehensively assess the tunnel damage potential. The results indicate that the multivariate ground motion parameters used in this study exhibit good stability, making them suitable for evaluating the tunnel damage potential induced by ground motion. Among the nine selected ground motion parameters, peck ground acceleration (PGA), peck ground velocity (PGV), root-mean-square acceleration (RMSA), and spectral acceleration (Sa) have the highest contribution rates to GMPCCA and DRPCCA and the highest importance in assessing the tunnel damage potential. In contrast to univariate ground motion parameters, multivariate ground motion parameters exhibit a higher correlation with tunnel dynamic response parameters and enable accurate assessment of tunnel damage potential.

CR-WARPED PRODUCT SUBMANIFOLDS OF NEARLY KAEHLER MANIFOLDS

  • Al-Luhaibi, Nadia S.;Al-Solamy, Falleh R.;Khan, Viqar Azam
    • Journal of the Korean Mathematical Society
    • /
    • v.46 no.5
    • /
    • pp.979-995
    • /
    • 2009
  • As warped product manifolds provide an excellent setting to model space time near black holes or bodies with large gravitational field, the study of these manifolds assumes significance in general. B. Y. Chen [4] initiated the study of CR-warped product submanifolds in a Kaehler manifold. He obtained a characterization for a CR-submanifold to be locally a CR-warped product and an estimate for the squared norm of the second fundamental form of CR-warped products in a complex space form (cf [6]). In the present paper, we have obtained a necessary and sufficient conditions in terms of the canonical structures P and F on a CR-submanifold of a nearly Kaehler manifold under which the submanifold reduces to a locally CR-warped product submanifold. Moreover, an estimate for the second fundamental form of the submanifold in a generalized complex space is obtained and thus extend the results of Chen to a more general setting.

Structure and Stability of γ-Aminobutyric acid-(H2O)n (n = 0-5) Clusters: Zwitterionic vs. Canonical forms

  • Kim, Ju-Young;Schermann, Jean Pierre;Lee, Sung-Yul
    • Bulletin of the Korean Chemical Society
    • /
    • v.31 no.1
    • /
    • pp.59-63
    • /
    • 2010
  • Calculations are presented for the $\gamma$-aminobutyric acid-$(H_2O)_n$ (n = 0-5) clusters in both canonical and zwitterionic forms. We examine the effects of microsolvation on the structures and transformation between the canonical and zwitterionic forms. The canonical forms are predicted to be more stable for n = 0-4. With five microsolvating water molecules, the two forms of $\gamma$-aminobutyric acid become quasidegenerate, with the energies of zwitterionic forms slightly (by 1 - 3 kcal/mol) higher. The lowest energy zwitterionic conformer of $\gamma$-aminobutyric acid-$(H_2O)_5$ cluster is calculated to isomerize to canonical form through a barrier-less proton transfer process and is thus predicted to be kinetically unstable. Therefore, we predict that the canonical conformers of $\gamma$-aminobutyric acid should be observed predominantly in the gas phase at low temperature in presence of up to five water molecules.

Selective Encryption of Canonical Huffman code (정규 허프만 코드의 선택적 암호화)

  • Park, Sang-ho
    • Journal of IKEEE
    • /
    • v.22 no.4
    • /
    • pp.1163-1167
    • /
    • 2018
  • The selective encryption scheme for canonical Huffman codes using the inversion of bit values is proposed. The symbols are divided into blocks of a certain size, and each symbol in the block is compressed by canonical Huffman coding. Blocks are determined to be sent in the original code or encrypted form. The encryption block inverts the values of the whole bits, and bits of block that do not encrypt are not inverted. Those compressed data are transmitted with the encryption information. It is possible to decrypt the compressed data on the receiving side using the encryption information and compressed data.

THE STRUCTURE CONFORMAL VECTOR FIELDS ON A SASAKIAN MANIFOLD

  • Hyun, Jong-Ik
    • Communications of the Korean Mathematical Society
    • /
    • v.9 no.2
    • /
    • pp.393-400
    • /
    • 1994
  • Let M(f,η,ξ,g) be a (2m + 1)-dimensional Sasakian manifold with soldering form dp ∈ ΓHom(Λ/sup q/TM, TM) (dp: canonical vector-valued 1-form) where f,η,ξ and g are the (1,1)-tensor field, the structure 1-form, the structure vector field and the metric tensor of M, respectively.(omitted)

  • PDF

An Implementation of the Canonical XML Algorithm (XML 정규화 알고리즘 구현)

  • 박기식;조인준;정회경
    • Journal of the Korea Institute of Information and Communication Engineering
    • /
    • v.7 no.8
    • /
    • pp.1698-1707
    • /
    • 2003
  • These days, XML is accepted and used to e commerce market broadly. But by reason of XML document can exist same form logically but several other forms physically, several problems can happen in application that judge effectiveness as physical form such as XML digital signature. Therefore, it is recommending to propose and use canonical XML algorithm to change identical XML document physically equally logically in W3C to solve this problems. We implemented system that nm Canonical XML algorithm that suggested in W3C that can change to mon elaborate regular document. Thus, interoperable with other application that takes W3C recommendation Also, as well as use in digital signature system for web service is useful, use in several system that physical identify is required when it exchanges na document for web service interoperability are considered to be valuable. Moreover, Adding the transformation ability between universal encoding scheme and EUC­KR that is internal encoding scheme should be Canonical XML Algorithm that is suited to internal circumstances, and this should be a foundation technique of international interoperability confirmedness.

Sliding Surface Design by Eigenstructure Assignment and Sliding Mode Control of Matched Uncertain Systems (고유구조 지정에 의한 슬라이딩 평면 설계와 불확실한 시스템의 슬라이딩 모드 제어)

  • Lee, Tae-Bong;Yang, Hyun-Suk
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.15 no.8
    • /
    • pp.812-817
    • /
    • 2009
  • In this paper, a new method to design sliding surfaces using eigenstructure assignment is proposed. Most conventional methods for constructing the surfaces require special form like canonical or regular canonical form of system matrices. But the proposed method can be applied to arbitrary system matrices. Futhermore, the surface matrix, C can be decided for the matrix multiplication, CB to have a designated form. SVD is used to decide desirable eigenvectors explicitly. To verify the proposed algorithm, a sliding mode controller for a multivariable system with matched uncertainty is constructed. The controller is designed to guarantee minimum approach velocity to the sliding surface.

A Realization of Reduced-Order Detection Filters

  • Kim, Yong-Min;Park, Jae-Hong
    • International Journal of Control, Automation, and Systems
    • /
    • v.6 no.1
    • /
    • pp.142-148
    • /
    • 2008
  • In this paper, we deal with the problem of reducing the order of the detection filter for the linear time-invariant system. Even if the detection filter is generally designed in the form of full order linear observer, we show that it is possible to reduce its order when the response of fault signals is limited to a subspace of the estimation state space. We propose a method to extract the subspace using the observer canonical form considering the dynamics related to the remaining subspace acts as a disturbance. We designed a reduced order detection filter to reject the disturbance as well as to guarantee fault detection and isolation. A simulation result for a 5th order system is presented as an illustrative example of the proposed design method.