Numerical solutions of neutral functional differential systems by hybrid of block-pulse functions and Chebyshev polynomials

Xing Tao Wang; Cheng Shao Hong

Numerical solutions of neutral functional differential systems by hybrid of block-pulse functions and Chebyshev polynomials

Xing Tao Wang
, Cheng Shao Hong

Faculty of Computing

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Using the operational properties of general block-pulse functions and Chebyshev polynomials, the neutral functional differential systems are transformed into a system of algebraic equations. The numerical solutions of the systems are derived. Moreover, applying the results to the linear quadratic optimal control problems, the approximate solutions of optimal control for the neutral functional differential systems are obtained.

Original language	English
Pages (from-to)	3201-3206
Number of pages	6
Journal	International Journal of Innovative Computing, Information and Control
Volume	5
Issue number	10
State	Published - Oct 2009

Keywords

Block-pulse functions
Chebyshev polynomials
Neutral functional differential systems

Cite this

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title = "Numerical solutions of neutral functional differential systems by hybrid of block-pulse functions and Chebyshev polynomials",

abstract = "Using the operational properties of general block-pulse functions and Chebyshev polynomials, the neutral functional differential systems are transformed into a system of algebraic equations. The numerical solutions of the systems are derived. Moreover, applying the results to the linear quadratic optimal control problems, the approximate solutions of optimal control for the neutral functional differential systems are obtained.",

keywords = "Block-pulse functions, Chebyshev polynomials, Neutral functional differential systems",

author = "Wang, \{Xing Tao\} and Hong, \{Cheng Shao\}",

year = "2009",

month = oct,

language = "英语",

volume = "5",

pages = "3201--3206",

journal = "International Journal of Innovative Computing, Information and Control",

issn = "1349-4198",

publisher = "IJICIC Editorial Office",

number = "10",

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TY - JOUR

T1 - Numerical solutions of neutral functional differential systems by hybrid of block-pulse functions and Chebyshev polynomials

AU - Wang, Xing Tao

AU - Hong, Cheng Shao

PY - 2009/10

Y1 - 2009/10

N2 - Using the operational properties of general block-pulse functions and Chebyshev polynomials, the neutral functional differential systems are transformed into a system of algebraic equations. The numerical solutions of the systems are derived. Moreover, applying the results to the linear quadratic optimal control problems, the approximate solutions of optimal control for the neutral functional differential systems are obtained.

AB - Using the operational properties of general block-pulse functions and Chebyshev polynomials, the neutral functional differential systems are transformed into a system of algebraic equations. The numerical solutions of the systems are derived. Moreover, applying the results to the linear quadratic optimal control problems, the approximate solutions of optimal control for the neutral functional differential systems are obtained.

KW - Block-pulse functions

KW - Chebyshev polynomials

KW - Neutral functional differential systems

UR - https://www.scopus.com/pages/publications/70350511449

M3 - 文章

AN - SCOPUS:70350511449

SN - 1349-4198

VL - 5

SP - 3201

EP - 3206

JO - International Journal of Innovative Computing, Information and Control

JF - International Journal of Innovative Computing, Information and Control

IS - 10

ER -

Numerical solutions of neutral functional differential systems by hybrid of block-pulse functions and Chebyshev polynomials

Abstract

Keywords

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