Computation of quadratic cost functionals for linear systems withmultiple time delays

Jyh-Haur Hwang; Sun-Yuan Tsay; Chyi Hwang

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Computation of quadratic cost functionals for linear systems withmultiple time delays

机译：具有多个时滞的线性系统的二次成本函数的计算

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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

机译：在本文中，我们提出了一种用于评估具有多个时滞的线性时不变系统的二次成本函数的半解析方法。该方法涉及的主要计算任务是通过Euclid算法求解符号Diophantine方程和对有限度多项式进行因式分解。为了说明所提出方法的数值实现，提供了一个例子

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来源
《IEEE Transactions on Automatic Control》 |2000年第4期|p.800-805|共6页
作者
Jyh-Haur Hwang; Sun-Yuan Tsay; Chyi Hwang;
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原文格式 PDF
正文语种 eng
中图分类自动化系统;
关键词
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;

机译：时滞;线性系统;多项式;Euclid算法;LTI系统;有限度多项式分解;线性时不变系统;多重时滞;二次成本函数;半解析法;符号Diophantine方程;

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1. Computation of quadratic cost functionals for linear systems with multiple time delays [J] . Jyh-Haur Hwang, Sun-Yuan Tsay IEEE Transactions on Automatic Control . 2000,第4期

机译：具有多个时滞的线性系统的二次成本函数的计算
2. Evaluation of generalised quadratic cost functionals for linear systems with many commensurate time delays [J] . Hwang C., Chang F.-P. IEE Proceedings. Part D, Control Theory and Applications . 2002,第6期

机译：具有许多相应时滞的线性系统的广义二次成本函数的评估
3. Evaluation of generalised quadratic cost functionals for linear systems with many commensurate time delays [J] . C. Hwang, F.-P. Chang IEE Proceedings. Part D . 2002,第6期

机译：具有许多相应时滞的线性系统的广义二次成本函数的评估
4. COMPUTATION OF QUADRATIC COST FUNCTIONALS FOR LINEAR SYSTEMS WITH NON-COMMENSURATE TIME DELAYS [C] . Jyh-Haur Hwang, Sun-Yuan Tsay, Chyi Hwang Triennial world congress of IFAC . 1999

机译：具有非导通时间延迟的线性系统的二次成本函数的计算
5. The state augmented system: Theory and applications to linear quadratic cost functional problems [D] . Hwang, Chi-Kuang. 1992

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Computation of quadratic cost functionals for linear systems withmultiple time delays

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