Tran Kiet | Học viện Y Dược học cổ truyền Việt Nam (original) (raw)
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Papers by Tran Kiet
Journal of Science and Technology: Issue on Information and Communications Technology, 2017
With the advances in data collection and storage capabilities, large amount of multidimensional d... more With the advances in data collection and storage capabilities, large amount of multidimensional dataset, known as higher-order data representation, has been generated on bioinformatics applications recently, especially in DNA sequences recognition. This paper thus proposes a mathematical modeling could be capable of the multidimensional problem of DNA similarity detection with high accuracy and reliability. To this end, the paper covers the central issues of multidimensional DNA gene expression data, including: (1) formulating multidimensional DNA data into higher-order representation; (2) recovering missing values; (3) decomposing high-order DNA data directly from their tensorial representation to extracted useful information for classification. Consequently, an exploring a novel type of third-order microarray expression, termed as gene - sample - time (GST), is presented for biological sample classification. The contributions will be distributed along two main thrusts of effective...
International Journal of Mathematics and Mathematical Sciences, 2002
By extending the Lyapunov equationA*Q+QA=−Pto an arbitrary infinite-dimensional Banach space, we ... more By extending the Lyapunov equationA*Q+QA=−Pto an arbitrary infinite-dimensional Banach space, we give stability conditions for a class of linear differential systems. Relationship between stabilizability and exact null-controllability is established. The result is applied to obtain new sufficient conditions for the stabilizability of a class of nonlinear control systems in Banach spaces.
Differential Equations, 2006
Page 1. ISSN 0012-2661, Differential Equations, 2006, Vol. 42, No. 5, pp. 757760. c Pleiades Pub... more Page 1. ISSN 0012-2661, Differential Equations, 2006, Vol. 42, No. 5, pp. 757760. c Pleiades Publishing, Inc., 2006. Original Russian Text c Nguyen Minh Chuong, Tran Tri Kiet, 2006, published in Differentsial'nye Uravneniya, 2006, Vol. 42, No. 5, pp. 707709. ...
The paper studies asymptotic stability of nolinear timevarying differential equations by Lyapunov... more The paper studies asymptotic stability of nolinear timevarying differential equations by Lyapunov's direct method. Sufficient conditions for asymptotic stability are given in terms of nondifferentiable Lyapunov-like functions. An application to stabilizability of a class of nonlinear control systems with feedback controls is also given.
Journal of Science and Technology: Issue on Information and Communications Technology, 2017
With the advances in data collection and storage capabilities, large amount of multidimensional d... more With the advances in data collection and storage capabilities, large amount of multidimensional dataset, known as higher-order data representation, has been generated on bioinformatics applications recently, especially in DNA sequences recognition. This paper thus proposes a mathematical modeling could be capable of the multidimensional problem of DNA similarity detection with high accuracy and reliability. To this end, the paper covers the central issues of multidimensional DNA gene expression data, including: (1) formulating multidimensional DNA data into higher-order representation; (2) recovering missing values; (3) decomposing high-order DNA data directly from their tensorial representation to extracted useful information for classification. Consequently, an exploring a novel type of third-order microarray expression, termed as gene - sample - time (GST), is presented for biological sample classification. The contributions will be distributed along two main thrusts of effective...
International Journal of Mathematics and Mathematical Sciences, 2002
By extending the Lyapunov equationA*Q+QA=−Pto an arbitrary infinite-dimensional Banach space, we ... more By extending the Lyapunov equationA*Q+QA=−Pto an arbitrary infinite-dimensional Banach space, we give stability conditions for a class of linear differential systems. Relationship between stabilizability and exact null-controllability is established. The result is applied to obtain new sufficient conditions for the stabilizability of a class of nonlinear control systems in Banach spaces.
Differential Equations, 2006
Page 1. ISSN 0012-2661, Differential Equations, 2006, Vol. 42, No. 5, pp. 757760. c Pleiades Pub... more Page 1. ISSN 0012-2661, Differential Equations, 2006, Vol. 42, No. 5, pp. 757760. c Pleiades Publishing, Inc., 2006. Original Russian Text c Nguyen Minh Chuong, Tran Tri Kiet, 2006, published in Differentsial'nye Uravneniya, 2006, Vol. 42, No. 5, pp. 707709. ...
The paper studies asymptotic stability of nolinear timevarying differential equations by Lyapunov... more The paper studies asymptotic stability of nolinear timevarying differential equations by Lyapunov's direct method. Sufficient conditions for asymptotic stability are given in terms of nondifferentiable Lyapunov-like functions. An application to stabilizability of a class of nonlinear control systems with feedback controls is also given.