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Computation of quadratic cost functionals for linear systems with multiple time delays

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3 Author(s)
Jyh-Haur Hwang ; Dept. of Chem. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan ; Sun-Yuan Tsay ; Hwang, Chyi

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

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Automatic Control, IEEE Transactions on  (Volume:45 ,  Issue: 4 )