DocumentCode
1347632
Title
Computation of quadratic cost functionals for linear systems with multiple time delays
Author
Hwang, Jyh-Haur ; Tsay, Sun-Yuan ; Hwang, Chyi
Author_Institution
Dept. of Chem. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan
Volume
45
Issue
4
fYear
2000
fDate
4/1/2000 12:00:00 AM
Firstpage
800
Lastpage
805
Abstract
In this paper, we present a semianalytical method for evaluating quadratic cost functionals for linear time-invariant systems with multiple time delays. The main computational tasks involved in the method are the solution of a symbolic Diophantine equation by the Euclid algorithm and the factorization of a finite-degree polynomial. To illustrate the numerical implementation of the proposed method, an example is provided
Keywords
delays; linear systems; polynomials; Euclid algorithm; LTI systems; finite-degree polynomial factorization; linear time-invariant systems; multiple time delays; quadratic cost functionals; semianalytical method; symbolic Diophantine equation; Chemical engineering; Computational efficiency; Cost function; Delay effects; Equations; Error correction; Feedback control; Linear systems; Polynomials; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.847126
Filename
847126
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