State-Space Solution of Estuary Bed Responses Subjected to Extreme Hydrodynamic Conditions. I: Tidal Bore

The evaluation of the extreme hydrodynamic forces-induced dynamic response in bed is particularly important for coastal geotechnical engineers involved in the design of the foundations of marine structures at estuarine area. As the two main sorts of extreme hydrodynamic forces in Qiantang estuary, tidal bore and storm surge are considered in this work. This paper presents an analytical solution of the tidal bore induced estuary bed response. State-space method together with Laplace-Fourier transform techniques are used to solve the governing equations. The tidal bore-induced response of estuary bed can be calculated by using the matrix theory, boundary conditions and inverting integral transform. Compared with the special solution in preceding literatures, it’s shown that the proposed method has the advantage of high calculation efficiency and accuracy.

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State-Space Solution of Estuary Bed Responses Subjected to Extreme Hydrodynamic Conditions. II: Storm Surge

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.374-377.2529 ◽

2011 ◽

Vol 374-377 ◽

pp. 2529-2532

Author(s):

Dong Zi Pan ◽

Xin Zhao ◽

Ying Li

Keyword(s):

Solitary Wave ◽

State Space ◽

Storm Surge ◽

Water Waves ◽

Matrix Theory ◽

Integral Transform ◽

Dynamic Responses ◽

Induced Response ◽

State Space Method ◽

Space Method

Storm surge is an abnormal rise of water generated by a storm, over and above the predicted astronomical tides. The solitary wave theory can be considered good representations of tsunami, storm surge and nonlinear shallow water waves. Based on the same theoretical formulation mentioned in the Part I, we derive the analytical solutions for dynamic responses of an estuary bed to solitary wave excitation are studied by state-space method. State-space method together with Laplace-Fourier transform techniques are used to solve the governing equations. The solitary wave-induced response of estuary bed can be calculated by using the matrix theory, boundary conditions and inverting integral transform. Compared with the special solution in preceding literatures, it’s shown that the proposed method has the advantage of high calculation efficiency and accuracy.

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HYPERBOLIC HEAT CONDUCTION ANALYSIS FOR AN ORTHOTROPIC FG HOLLOW SPHERE WITH INTERNAL HEAT SOURCE. APPLICATION OF A NEW AUGMENTED STATE SPACE METHOD

Heat Transfer Research ◽

10.1615/heattransres.2017017241 ◽

2017 ◽

Vol 48 (15) ◽

pp. 1399-1419

Author(s):

Majid Bakhtiari ◽

K. Daneshjou ◽

H. Parsania ◽

M. Fakoor

Keyword(s):

Heat Conduction ◽

Heat Source ◽

State Space ◽

Hollow Sphere ◽

Internal Heat ◽

Internal Heat Source ◽

Hyperbolic Heat Conduction ◽

State Space Method ◽

Augmented State ◽

Space Method

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Partial Component Consensus of Discrete-Time Multiagent Systems

Mathematical Problems in Engineering ◽

10.1155/2019/4725418 ◽

2019 ◽

Vol 2019 ◽

pp. 1-5

Author(s):

Wenjun Hu ◽

Gang Zhang ◽

Zhongjun Ma ◽

Binbin Wu

Keyword(s):

Multiagent Systems ◽

Discrete Time ◽

Matrix Theory ◽

Pinning Control ◽

Directed Network ◽

Strong Function ◽

Partial Stability ◽

Partial Component ◽

The Matrix ◽

Error System

The multiagent system has the advantages of simple structure, strong function, and cost saving, which has received wide attention from different fields. Consensus is the most basic problem in multiagent systems. In this paper, firstly, the problem of partial component consensus in the first-order linear discrete-time multiagent systems with the directed network topology is discussed. Via designing an appropriate pinning control protocol, the corresponding error system is analyzed by using the matrix theory and the partial stability theory. Secondly, a sufficient condition is given to realize partial component consensus in multiagent systems. Finally, the numerical simulations are given to illustrate the theoretical results.

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Analysis of Downlink Satellite Free Space Optical Communications Systems Using State-Space Method for the Rate Equations of the Semiconductor Laser Diode

2020 3rd West Asian Symposium on Optical and Millimeter-wave Wireless Communication (WASOWC) ◽

10.1109/wasowc49739.2020.9410161 ◽

2020 ◽

Author(s):

Sina Ahadi ◽

Gholamreza Baghersalimi ◽

Saeed Ashouri

Keyword(s):

State Space ◽

Laser Diode ◽

Optical Communications ◽

Free Space ◽

Rate Equations ◽

State Space Method ◽

Free Space Optical ◽

Semiconductor Laser Diode ◽

Communications Systems ◽

Space Method

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MATRIX THEORY, HILBERT SCHEME AND INTEGRABLE SYSTEM

Modern Physics Letters A ◽

10.1142/s0217732398002904 ◽

1998 ◽

Vol 13 (34) ◽

pp. 2731-2742 ◽

Cited By ~ 1

Author(s):

YUTAKA MATSUO

Keyword(s):

Hilbert Scheme ◽

Matrix Theory ◽

Fock Space ◽

Homology Class ◽

Orthogonal Basis ◽

Inner Product ◽

Virasoro Symmetry ◽

Hilbert Scheme Of Points ◽

The Matrix ◽

Boson Fock Space

We give a reinterpretation of the matrix theory discussed by Moore, Nekrasov and Shatashivili (MNS) in terms of the second quantized operators which describes the homology class of the Hilbert scheme of points on surfaces. It naturally relates the contribution from each pole to the inner product of orthogonal basis of free boson Fock space. These bases can be related to the eigenfunctions of Calogero–Sutherland (CS) equation and the deformation parameter of MNS is identified with coupling of CS system. We discuss the structure of Virasoro symmetry in this model.

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