Yen‐Ping Shih

National Taipei University of Technology

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Chyi Hwang

National Chung Cheng University

Lin Hsiao-Tsung

National Central University

Sun‐Yuan Tsay

National Cheng Kung University

CHENG-CHIIAN LIU

National Cheng Kung University

Ruey‐Yinn Hwang

National Chung Shan Institute of Science and Technology

Mou‐Yung Yeh

National Cheng Kung University

Wen-Teng Wu

National Cheng Kung University

Chyi‐Tsong Chen

Feng Chia University

Chyi Hwang

National Chung Cheng University

Shu-Min Chiang

National Chung Cheng University

Cooperative Institutions

National Cheng Kung University

National Central University

National Yang Ming Chiao Tung University

National Taipei University of Technology

National Taiwan University

National Tsing Hua University

National Chung Cheng University

National Chung Shan Institute of Science and Technology

Tamkang University

National Sun Yat-sen University

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Parameter estimation of discrete systems via Hahn polynomials

International Journal of Control (1987)

Chyi Hwang Chyi‐Tsong Chen Yen‐Ping Shih

This paper presents a procedure for using Hahn polynomials for the analysis and parameter estimation of linear discrete-time single-input/single-output systems described by difference equations. An advantage is gained through transforming a linear difference equation into a set of algebraic equations of the system parameters and the Hahn coefficients of the system variables. The key to the equation conversion is the derivation of a relation between the Hahn coefficients of a function and its time-shifted ones. Examples are provided to show the utilization of the procedure.

Algebraic equation

10.1080/00207178708933999

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Citations (2)

Laguerre series solution of a functional differential equation

International Journal of Systems Science (1982)

Chyi Hwang Yen‐Ping Shih

This paper presents a Laguerre series method for the solution of a functional differential equation of the type (d/dt)y(t) = Ay(λt) + By(t), with given initial conditions. The method consists of the following steps : (1) represent y(t) and y(λt), respectively, by series of the Laguerre polynomials gi(t) and gi(λt) ; (2) expand gi(λt) into Laguerre series of gi(t) ; (3) integrate the Laguerre series approximation of the functional differential equation by an operational matrix approach. Two numerical examples are given with satisfactory results.

Laguerre polynomials

Laguerre's method

Functional differential equation

10.1080/00207728208926388

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Citations (58)

Parameter Estimation of Bilinear Systems Via Walsh Functions

Journal of the Franklin Institute (1978)

Wenliang Chen Yen‐Ping Shih

Walsh function

Transpose

Bilinear map

Matrix (chemical analysis)

10.1016/s0016-0032(98)76543-3

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Citations (46)

Analytical solutions for freezing a saturated liquid inside or outside spheres

Chemical Engineering Science (1971)

Yen‐Ping Shih Tse‐Chuan Chou

10.1016/0009-2509(71)86023-2

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Citations (42)

System analysis, parameter estimation and optimal regulator design of linear systems via Jacobi series

International Journal of Control (1985)

CHENG-CHIIAN LIU Yen‐Ping Shih

The operational matrix of integration of a Jacobi vector whose elements are Jacobi polynomials is introduced and then applied to the analysis, parameter estimation and optimal regulator design of time-invariant linear systems. Illustrative examples are given for demonstration. Very satisfactory results are obtained due to rapid convergent property of the Jacobi series. The new method is algebraic and computer-oriented.

Jacobi eigenvalue algorithm

10.1080/00207178508933357

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Citations (24)

An optimal impulse response matching via the residue method for model reduction of discrete systems

Journal of the Chinese Institute of Engineers (1983)

Ruey‐Yinn Hwang Chyi Hwang Yen‐Ping Shih

Abstract The conventional stable methods are used to reduce the order of the denominator polynomial of a z‐transfer function. The coefficients of the numerator polynomial of the reduced model are determined through an optimal matching of the impulse responses of the original and reduced models. Using the residue method, the optimal matching can be handled analytically with the solution of a set of linear algebraic equations. Furthermore, the reduced model is stable provided the original one is stable.

Impulse response

Algebraic equation

Residue (chemistry)

10.1080/02533839.1983.9676740

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BUOYANCY EFFECTS ON THE FORCED CONVECTION ALONG VERTICALLY MOVING SURFACES

Chemical Engineering Communications (1981)

Lin Hsiao-Tsung Yen‐Ping Shih

Abstract The buoyancy effects on the laminar boundary layer heat transfer from vertically moving flat plate and cylinder are studied by a coordinate perturbation method for the cases of prescribed surface temperature and prescribed wall heat flux. Universal expressions are given to show the temperature distributions and the increase of heat transfer rate with the increase of the buoyancy force parameter.

Forced convection

10.1080/00986448108912589

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Citations (2)

Analysis and optimal control of time-varying systems via Chebyshev polynomials

International Journal of Control (1983)

CHENG-CHIIAN LIU Yen‐Ping Shih

Abstract The operational properties of the forward and backward integration and the product of Chebyshev polynomials are derived. These properties are applied to the analysis and optimal control of time-varying linear systems by the approximation of time functions by truncated Chebyshev series. Due to the unique property of the Chebyshev polynomials excellent results are obtained as demonstrated by examples.

Chebyshev pseudospectral method

Chebyshev iteration

Equioscillation theorem

Chebyshev nodes

Approximation Theory

10.1080/00207178308933124

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Citations (55)

Numerical Heat Transfer (1982)

Lin Hsiao-Tsung Yen‐Ping Shih

Abstract An instant nonsimilarity method is proposed for the analysis of unsteady thermal boundary layers. The method is an improvement on the instant similarity method, which assumes that similarity solutions are obtained instantly by deleting time derivative terms that cause nonsimilarity in the boundary-layer energy equation. A basic feature of the nonsimilarity solution is that the nonsimilar terms in the conservation equations are retained without approximation, while those in derived auxiliary equations are selectively neglected. Therefore, more accurate results are obtained. The method is illustrated by analyzing the problems of unsteady laminar forced convection heat transfer from a rotating disk and at the two- and three-dimensional stagnation points due to a step change in surface temperature. The flow is steady and incompressible and has constant physical properties. Numerical results are compared with data from the literature. Excellent agreement is obtained at both short and long times.

10.1080/10407788208913450

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Citations (5)

Perturbation solutions for the effect of prandtl number on heat transfer from a non-isothermal rotating disk

Letters in Heat and Mass Transfer (1977)

Sun‐Yuan Tsay Yen‐Ping Shih

Isothermal process

Discontinuity (linguistics)

10.1016/0094-4548(77)90008-x

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Citations (0)